Journal de Physique Lettres

Disordered Solids

R. Silbey
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Disordered Solids

R. A. Cowley
Disordered Solids 195 (1989)
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Disordered Solids

Renata Reisfeld
Disordered Solids 379 (1989)
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The vibrational spectrum of amorphous materials obtained by the use of an Anderson-like Hamiltonian

S. N. Taraskin and S. R. Elliott
Philosophical Magazine B 79 (11-12) 1755 (1999)
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Marginally compact fractal trees with semiflexibility

Maxim Dolgushev, Adrian L. Hauber, Philipp Pelagejcev and Joachim P. Wittmer
Physical Review E 96 (1) (2017)
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Fractals in Science

Mohamed Daoud
Fractals in Science 163 (1994)
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Conduction and connection properties of self-avoiding walks with bridges

F. Seno and A. L. Stella
Physical Review A 40 (8) 4704 (1989)
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Thermal conductivity of amorphous materials above the plateau

A. Jagannathan, R. Orbach and O. Entin-Wohlman
Physical Review B 39 (18) 13465 (1989)
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Wave Equation on One-Dimensional Fractals with Spectral Decimation and the Complex Dynamics of Polynomials

Ulysses Andrews, Grigory Bonik, Joe P. Chen, Richard W. Martin and Alexander Teplyaev
Journal of Fourier Analysis and Applications 23 (5) 994 (2017)
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Advances in Nonradiative Processes in Solids

P. Evesque
NATO ASI Series, Advances in Nonradiative Processes in Solids 249 497 (1991)
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Amorphous Insulators and Semiconductors

Eric Courtens and René Vacher
Amorphous Insulators and Semiconductors 255 (1997)
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Topological thermal instability and length of proteins

Raffaella Burioni, Davide Cassi, Fabio Cecconi and Angelo Vulpiani
Proteins: Structure, Function, and Bioinformatics 55 (3) 529 (2004)
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Dispersive Kinetics

Andrzej Plonka
Dispersive Kinetics 211 (2001)
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Kinetic and rheological relationships of dicyanate ester polycondensation for the resin transfer molding process

C. Texier, M. Taha, A. Maazouz and J. P. Pascault
Polymer Engineering & Science 37 (7) 1238 (1997)
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Fracton excitation and Lévy flight dynamics in alkali silicate glasses

Junko Habasaki, Isao Okada and Yasuaki Hiwatari
Physical Review B 55 (10) 6309 (1997)
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Resolvent metric and the heat kernel estimate for random walks

András Telcs and Vincenzo Vespri
Stochastic Processes and their Applications (2014)
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Acoustical propagation in a prefractal waveguide

Vincent Gibiat, Ana Barjau, Kaelig Castor and Etienne Bertaud du Chazaud
Physical Review E 67 (6) (2003)
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Noise and Nonlinear Phenomena in Nuclear Systems

C. Van den Broeck
Noise and Nonlinear Phenomena in Nuclear Systems 3 (1989)
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Fractal Symmetry of Protein Interior

Anirban Banerji
SpringerBriefs in Biochemistry and Molecular Biology, Fractal Symmetry of Protein Interior 19 (2013)
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Fractal Concepts in Condensed Matter Physics

Tsuneyoshi Nakayama and Kousuke Yakubo
Springer Series in Solid-State Sciences, Fractal Concepts in Condensed Matter Physics 140 1 (2003)
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Fractal Concepts in Condensed Matter Physics

Tsuneyoshi Nakayama and Kousuke Yakubo
Springer Series in Solid-State Sciences, Fractal Concepts in Condensed Matter Physics 140 59 (2003)
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Random walks with intersections: Static and dynamic fractal properties

Raf Dekeyser, Amos Maritan and Attilio Stella
Physical Review A 36 (5) 2338 (1987)
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Lévy decoupled random walks

Miguel A. Ré, Carlos E. Budde and Domingo P. Prato
Physica A: Statistical Mechanics and its Applications 323 9 (2003)
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Scaling properties and kinetics: Williams-Watts relaxations

Alain Le Méhauté, Louis Picard and Luc Fruchter
Philosophical Magazine B 52 (6) 1071 (1985)
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Annihilation reaction in a quasi-one-dimensional substrate

A.L. Parrondo and H.O. Mártin
Physica A: Statistical Mechanics and its Applications 273 (3-4) 360 (1999)
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Multifractal fluctuations in the dynamics of disordered systems

S. Havlin, A. Bunde, E. Eisenberg, et al.
Physica A: Statistical Mechanics and its Applications 194 (1-4) 288 (1993)
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Effect of loops on the vibrational spectrum of percolation network

Hisao Nakanishi
Physica A: Statistical Mechanics and its Applications 196 (1) 33 (1993)
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A new model for the hydrogen dimerization in α-SiO2

Luca Verdi and Antonio Miotello
Physica A: Statistical Mechanics and its Applications 191 (1-4) 182 (1992)
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Fractal dimension and fractional power frequency-dependent impedance of blocking electrodes

L. Nyikos and T. Pajkossy
Electrochimica Acta 30 (11) 1533 (1985)
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Conductivity of Coniglio-Klein clusters

Nicolas Posé, N. A. M. Araújo and H. J. Herrmann
Physical Review E 86 (5) (2012)
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Damping and Spatial Distribution of Percolation Fractons

S. Russ and B. Sapoval
MRS Proceedings 367 (1994)
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A dynamic measure of order in structural glasses

Jack F. Douglas
Computational Materials Science 4 (4) 292 (1995)
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Applications of the Monte Carlo Method in Statistical Physics

K. Binder and D. Stauffer
Topics in Current Physics, Applications of the Monte Carlo Method in Statistical Physics 36 241 (1987)
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Applications of the Monte Carlo Method in Statistical Physics

K. Binder and D. Stauffer
Topics in Current Physics, Applications of the Monte Carlo Method in Statistical Physics 36 241 (1984)
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Transition density of diffusion on the Sierpinski gasket and extension of Flory’s formula

Tetsuya Hattori and Hideo Nakajima
Physical Review E 52 (1) 1202 (1995)
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Low-energy excitation spectrum for ferromagnetic spin waves on a percolating network: An effective-medium approximation

Kin Wah Yu
Physical Review B 29 (7) 4065 (1984)
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Photoacoustic and Photothermal Phenomena II

R. Osiander, R. Haberkern, P. Korpiun and W. Schirmacher
Springer Series in Optical Sciences, Photoacoustic and Photothermal Phenomena II 62 309 (1990)
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Order and Chaos in Nonlinear Physical Systems

R. B. Stinchcombe
Order and Chaos in Nonlinear Physical Systems 295 (1988)
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From Quasicrystals to More Complex Systems

E. Courtens and R. Vacher
From Quasicrystals to More Complex Systems 219 (2000)
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Scale Invariance and Beyond

Matteo Marsili
Scale Invariance and Beyond 173 (1997)
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Statistics of randomly cross-linked polymer models to interpret chromatin conformation capture data

O. Shukron and D. Holcman
Physical Review E 96 (1) (2017)
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Heat conduction in a one-dimensional aperiodic system

Yong Zhang and Hong Zhao
Physical Review E 66 (2) (2002)
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Non-Debye stress relaxation in green silica gel

Ce-Wen Nan, R.W. Brotzman and D.M. Smith
Journal of Non-Crystalline Solids 139 172 (1992)
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Applications of the Monte Carlo Method in Statistical Physics

K. Binder, A. Baumgärtner, J. P. Hansen, et al.
Topics in Current Physics, Applications of the Monte Carlo Method in Statistical Physics 36 299 (1987)
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Absence of the hump in the density of states of percolating clusters

K. Yakubo and T. Nakayama
Physical Review B 36 (16) 8933 (1987)
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A low frequency Raman study of fractons in partially densified silica aerogels

Eric Anglaret, Isabelle Beurroies, Laurent Duffours, et al.
Journal of Non-Crystalline Solids 225 248 (1998)
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Inhomogeneous eigenmode localization, chaos, and correlations in large disordered clusters

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Physical Review E 56 (6) 6494 (1997)
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Amorphous solids: their structure, lattice dynamics and elasticity

Shlomo Alexander
Physics Reports 296 (2-4) 65 (1998)
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Hopping Models and ac Universality

J.C. Dyre and Th.B. Schr�der
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Physics of inhomogeneous inorganic materials

Ce-Wen Nan
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Scaling Phenomena in Disordered Systems

Timothy Ziman
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The mechanism of the dielectric relaxation in water

Ivan Popov, Paul Ben Ishai, Airat Khamzin and Yuri Feldman
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Scaling Phenomena in Disordered Systems

H. Eugene Stanley
Scaling Phenomena in Disordered Systems 49 (1991)
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Scaling Phenomena in Disordered Systems

B. W. Southern and A. R. Douchant
Scaling Phenomena in Disordered Systems 365 (1991)
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Scaling Phenomena in Disordered Systems

R. B. Stinchcombe
Scaling Phenomena in Disordered Systems 465 (1991)
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Scaling Phenomena in Disordered Systems

Amnon Aharony
Scaling Phenomena in Disordered Systems 289 (1991)
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Relaxation in Complex Systems and Related Topics

Alain Oustaloup, F. Héliodore and Alain Le Méhauté
NATO ASI Series, Relaxation in Complex Systems and Related Topics 222 285 (1990)
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Relaxation in Complex Systems and Related Topics

Christian von Borczyskowski
NATO ASI Series, Relaxation in Complex Systems and Related Topics 222 147 (1990)
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Magnetic Laplacians of locally exact forms on the Sierpinski Gasket

Luis Seda, Luke Rogers, Jesse Moeller, Daniel Kelleher and Jessica Hyde
Communications on Pure and Applied Analysis 16 (6) 2299 (2017)
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Structure and Dynamics of Molecular Systems

G. Zumofen, A. Blumen and J. Klafter
Structure and Dynamics of Molecular Systems 87 (1985)
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Chemistry, Spectroscopy and Applications of Sol-Gel Glasses

Jochen Fricke and Andreas Emmerling
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Spectral dimension of elastic Sierpinski gaskets with general elastic forces

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Physical Review B 32 (7) 4753 (1985)
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Ising domain growth barriers on a Cayley tree at percolation

Christopher L. Henley
Physical Review B 33 (11) 7675 (1986)
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Annihilation reactions: Crossover from mean-field to anomalous behaviours

M. Hoyuelos and H.O. Martin
Chaos, Solitons & Fractals 6 213 (1995)
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Direct numerical solution of the master-equation transport on disordered lattices via the Lanczos algorithm

Mark S. Friedrichs and Richard A. Friesner
Physical Review B 37 (1) 308 (1988)
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Critical exponents of percolating wire networks

James M. Gordon, Allen M. Goldman and Brian Whitehead
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Stochastic Foundations in Movement Ecology

Vicenç Méndez, Daniel Campos and Frederic Bartumeus
Springer Series in Synergetics, Stochastic Foundations in Movement Ecology 113 (2014)
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Molecular dynamics study of the mechanism of ion transport in lithium silicate glasses: Characteristics of the potential energy surface and structures

Junko Habasaki and Yasuaki Hiwatari
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Trapping reactions with randomly moving traps: Exact asymptotic results for compact exploration

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Long-time luminescence kinetics of localized excitons and conduction band edge smearing in ZnSe(1−c)Tec solid solutions

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Small angle neutron scattering studies of adsorbed water in porous Vycor glass

J.C. Li, D.K. Ross, P.L. Hall and R.K. Heenan
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Comment on "Fractons and the Fractal Structure of Proteins"

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Magnons and fractons in the diluted antiferromagnetMnxZn1−xF2

Y. J. Uemura and R. J. Birgeneau
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Energy Transfer Processes in Condensed Matter

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Computational study of the percolation phenomena in inhomogeneous two- and three-dimensional systems

S A Bagnich and A V Konash
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Fractal Reaction Kinetics

Raoul Kopelman
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Relaxation and nonradiative decay in disordered systems. III. Statistical character of Raman (two-quanta) spin-lattice relaxation

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An exploration of pressure dynamics using differential equations defined on a fractal geometry

Jesús M. Chaidez-Félix and J. X. Velasco-Hernández
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Fraction Scaling and Dynamical Properties of Elastomer Materials

M.B. Plavšić and Iva Pajić-Lijaković
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Interface and Transport Dynamics

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Universalities in Condensed Matter

J. Teixeira
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Fractal measures of diffusion in the presence of random fields

H. Eduardo Roman, Armin Bunde and Shlomo Havlin
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Pseudochaos and low-frequency percolation scaling for turbulent diffusion in magnetized plasma

Alexander V. Milovanov
Physical Review E 79 (4) (2009)
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On the dielectric response of complex layered oxides: Mica‐type silicates and layered double hydroxides

Vivek Mehrotra and Emmanuel P. Giannelis
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Cellular Automata

Mehrdad Ghaemi, Nasrollah Rezaei-Ghaleh and Yazdan Asgari
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Anomalous diffusion of vibrational energy in proteins

Xin Yu and David M. Leitner
The Journal of Chemical Physics 119 (23) 12673 (2003)
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Phonons in liquids: A random walk approach

Ten‐Ming Wu and Roger F. Loring
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Correlation effects on Raman scattering from low‐energy vibrational modes in glasses. II. Experimental results

T. Achibat, A. Boukenter and E. Duval
The Journal of Chemical Physics 99 (3) 2046 (1993)
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Bryngelson and Thirumalai Reply:

J. D. Bryngelson and D. Thirumalai
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Directed random walks on directed percolation clusters

Xiao-Hong Wang, Ehud Perlsman and Shlomo Havlin
Physical Review E 67 (5) (2003)
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Fractal approach to the exciton-phonon coupling and structure of J aggregates

J. Moll, S. Daehne, A. Semjonow and A. Lau
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Critical dynamics of the two-dimensional Potts model

E J S Lage
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An energy-barrier model of biased transport in disordered systems

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Chaos, Solitons & Fractals 4 (3) 461 (1994)
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Fractal adsorption characteristics of complex molecules on particles—A case study of dyes onto granular activated carbon (GAC)

Yili Wang, Hongwei Zhou, Fuling Yu, Baoyou Shi and Hongxiao Tang
Colloids and Surfaces A: Physicochemical and Engineering Aspects 299 (1-3) 224 (2007)
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Some observations on quantum mechanics in disordered systems

Massimiliano Giona
Chaos, Solitons & Fractals 3 (2) 203 (1993)
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NMR relaxation in semiflexible Vicsek fractals

Denis A. Markelov, Florian Fürstenberg and Maxim Dolgushev
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Critical exponent for 3-D percolation conductivity, revisited

C.D. Mitescu and M.J. Musolf
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Energy migration in randomly doped crystals : geometrical properties of space and kinetic laws

P. Evesque
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Modeling of solid state polymer properties at the stage of synthesis: Fractal analysis

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Diffusion of pairs in random lattices

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Gaussian, three-dimensional-XY,and lowest-Landau-level scalings in the low-field fluctuation magnetoconductivity ofBi2Sr2CaCu2O8

R. Menegotto Costa, P. Pureur, L. Ghivelder, J. A. Campá and I. Rasines
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Relaxation dynamics of small-world degree-distributed treelike polymer networks

Mircea Galiceanu, Edieliton S. Oliveira and Maxim Dolgushev
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Excluded volume and hyperscaling in polymeric systems

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Molecular Materials and Functional Polymers

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Critical behavior in the dielectric properties of random self-similar composites

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Fluctuation conductivity and microscopic granularity in Bi-based high-temperature superconductors

A. R. Jurelo, J. V. Kunzler, J. Schaf, P. Pureur and J. Rosenblatt
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Quasielastic incoherent scattering in fractal systems

Ruma Dasgupta, T. K. Ballabh and S. Tarafdar
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Viscoelastic properties of bone as a function of water content

Naoki Sasaki and Atsushi Enyo
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Energy-loss spectrum for inelastic scattering of charged particles in disordered systems near the critical point

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Critical dynamics of the Potts model in several dimensionalities

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Proton spin relaxation induced by localized spin-dynamical coupling in proteins

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Spectral dimensionality and hyperscaling

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ac Hopping Conduction at Extreme Disorder Takes Place on the Percolating Cluster

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Steady-state random walk on connected graph of arbitrary topology with random and non-symmetric transition rates

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Nonlinear diffusion in hard and soft superconductors

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Fractals’ Physical Origin and Properties

Eric Courtens, René Vacher and Jacques Pelous
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Transmission coefficient from generalized Cantor-like potentials and its multifractality

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Direct Observation of Localized Fractons Excited on Percolating Nets

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On the scaling features of magnetic field fluctuations at non-MHD scales in turbulent space plasmas

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Critical Behavior of Modulus of Poly(vinylalcohol) Gels near the Gelation Point

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Characteristics of Fractons: from Specific Realizations to Ensemble Averages

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Journal of the Physical Society of Japan 58 (6) 1891 (1989)
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Dynamic Structure Factor and Single-Length Scaling for Random Fractals

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FRACTONS AND FRACTAL STATISTICS

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International Journal of Modern Physics A 15 (24) 3805 (2000)
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Dynamics of Persistent Hole Burning in Organic Glassesand Its Fractal Interpretation

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Localization Exponents of Waves in Percolation Systems

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Journal of the Physical Society of Japan 61 (7) 2173 (1992)
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Fractal Property for the Resistance of Deposited Films

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Journal of the Physical Society of Japan 61 (1) 89 (1992)
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Luminescence quenching in organized assemblies treated as media of noninteger dimensions

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Methods for surface roughness elimination from thermal-wave frequency scans in thermally inhomogeneous solids

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Transient Diffusion and Conduction in Heterogeneous Media: Beyond the Classical Effective-Medium Approximation

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The vibrational density of states of a disordered gel model

Lorenzo Rovigatti, Walter Kob and Francesco Sciortino
The Journal of Chemical Physics 135 (10) 104502 (2011)
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A model for the specific heat of amorphous polymers

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Diffusion of a flexible polymer chain in a disordered medium

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Singularly continuous spectrum of a self-similar Laplacian on the half-line

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Complexity bounds on quantum search algorithms in finite-dimensional networks

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Fractal aspects of the dielectric response of charge carriers in disordered materials

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Scaling behavior of diffusion limited annihilation reactions on random media

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Multifractal analysis of dynamic potential surface of ion-conducting materials

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Coupled maps and pattern formation on the Sierpinski gasket

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Heat flow in proteins: Computation of thermal transport coefficients

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Fractal and spectral dimensions of biopolymer chains: Solvent studies of electron spin relaxation rates in myoglobin azide

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Energy Flow in Proteins

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A regular model for bond percolation: the approach towards the threshold

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Spatial Search on Sierpinski Carpet Using Quantum Walk

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Studies on the scaling exponents of conductivity for Sierpinski carpets

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Application of fractal concepts to polymer statistics and to anomalous transport in randomly porous media

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Homogeneity and spectral dimension of aggregation fractals

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Information Dimension of Stochastic Processes on Networks: Relating Entropy Production to Spectral Properties

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Towards Classification of Fracton Phases: The Multipole Algebra

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About diffusion processes in disordered systems

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The diffusion-controlled relaxation model for ionic transport in glasses

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Fractal Analysis - Applications in Physics, Engineering and Technology

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Fluctuations of random walks in critical random environments

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How super-localization affects vibrational energy exchange process in proteins

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Superhalogen doping: a new and effective approach to design materials with excellent static and dynamic NLO responses

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Mathematics of Complexity and Dynamical Systems

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Fractal Studies on Protein Molecular Chains

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Optical Enhancement and Structural Properties of a Hybrid Organic−Inorganic Ternary Nanocomposite

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On Growth and Form

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Strict Inequality for the Chemical Distance Exponent in Two‐Dimensional Critical Percolation

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Spectral Analysis of a Non-Equilibrium Stochastic Dynamics on a General Network

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Mechanisms of Thermo-Oxidative Degradation of Modified Polybutylene Terephthalate

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The spectral dimension of random trees

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Random Walks on Disordered Media and their Scaling Limits

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Simulation of TL Mechanisms in Materials with Using Fractal Rate Kinetics

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Terahertz biophotonics as a tool for studies of dielectric and spectral properties of biological tissues and liquids

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Annual Reports on NMR Spectroscopy

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digital Encyclopedia of Applied Physics

Michael F. Shlesinger
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New Physics of Strong Interaction and Dark Universe

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Diffusion-limited aggregation near the percolation threshold

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Existence and uniqueness of diffusions on the Julia sets of Misiurewicz-Sierpinski maps

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Cluster-weighted percolation-a novel approach to the Potts model

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Disorder-induced transport. I. Simple cubic lattice

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Dynamic scaling on fractals with sublattices

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Backbone and elastic backbone of percolation clusters obtained by the new method of 'burning'

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Rotational relaxation of azobenzene in porous Vycor glass

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Superconducting fluctuation conductivity in granular Al-Ge films above the metal-insulator transition

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Metric properties of fractal lattices

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Anomalous dynamics of interacting particles in random systems

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Diffusion on random hierarchical structures

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Diffusion-limited aggregation on Penrose lattices

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Hopping conduction in some fractal systems

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Non-linear electromagnetic properties of fractal metal clusters

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Journal of Physics: Condensed Matter 7 (17) 3355 (1995)
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Dynamic structure factor of percolation clusters at criticality

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Journal of Physics: Condensed Matter 7 (47) 8903 (1995)
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The spectral dimension of aggregates of tunable fractal dimension

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The multifractal character of the electronic states in disordered two-dimensional systems

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Journal of Physics: Condensed Matter 7 (28) 5549 (1995)
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An investigation of the porous silicon optical absorption power law near the band edge

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Analysis of the Structure and Properties of Filled Polymers within the Framework of the Concept of Fractals. Part 2: Influence of the Filler on the Structure of the Polymer matrix

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Langevin dynamics of polymeric manifolds in melts

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Spin wave damping in Heisenberg ferromagnets near the percolation threshold

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Fractal kinetics of multiparticle diffusion

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Effective-medium approximation for density of states and the spectral dimension of percolation networks

M Sahimi
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Anomalous diffusion by tunnelling on a square lattice: trapping and fusion of triplet excitons in mixed crystals of naphthalene

R Brown, J -L Garitey, F Dupuy and P Pee
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Percolation and conduction on the 3D Voronoi and regular networks: a second case study in topological disorder

G R Jerauld, L E Scriven and H T Davis
Journal of Physics C: Solid State Physics 17 (19) 3429 (1984)
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Phonon spectroscopy by inelastic x-ray scattering

Eberhard Burkel
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Fractons and Luttinger liquids

Wellington da Cruz
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Non-universality of random walks in random environments

A Majhofer and M Cieplak
Journal of Physics A: Mathematical and General 21 (17) 3481 (1988)
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Hopping on hierarchical structures and random walking on deterministic fractals

I Herbut and S Milosevic
Journal of Physics A: Mathematical and General 23 (1) 99 (1990)
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Geometrical and electrical properties of crumpled wires

J Albino Aguiar, M A F Gomes and A S Neto
Journal of Physics A: Mathematical and General 24 (3) L109 (1991)
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Fractional diffusion equation on fractals: one-dimensional case and asymptotic behaviour

M Giona and H E Roman
Journal of Physics A: Mathematical and General 25 (8) 2093 (1992)
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Random walks on ultrametric spaces: mean and variance of the range

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Journal of Physics A: Mathematical and General 24 (12) 2807 (1991)
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Diffusion on a DLA cluster in two and three dimensions

D J Jacobs, S Mukherjee and H Nakanishi
Journal of Physics A: Mathematical and General 27 (13) 4341 (1994)
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A precise characterization of three-dimensional percolating backbones

M D Rintoul and H Nakanishi
Journal of Physics A: Mathematical and General 27 (16) 5445 (1994)
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Diffusion and spectral dimension on Eden tree

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Journal of Physics A: Mathematical and General 26 (18) 4513 (1993)
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Critical dynamics and universality in kinetic Ising models without translational invariance

B W Southern and Y Achiam
Journal of Physics A: Mathematical and General 26 (11) 2519 (1993)
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Diffusion on regular random fractals

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Journal of Physics A: Mathematical and General 29 (24) 7803 (1996)
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Characterization and quantification of the cluster hopping mechanism responsible for transport in two-component random networks

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Journal of Physics A: Mathematical and General 26 (13) 3143 (1993)
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Monte Carlo simulation of long-time percolation diffusion on lattices above the threshold

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New series expansion data for surface and bulk resistivity and conductivity in two-dimensional percolation

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Journal of Physics A: Mathematical and General 29 (6) L143 (1996)
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On the role of spectral dimension in determining phase transition

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Journal of Physics A: Mathematical and General 28 (21) 6161 (1995)
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On the statistics of generalized Gaussian structures: collapse and random external fields

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The spherical model on graphs

Davide Cassi and Linda Fabbian
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Diluted continuous spin models near the percolation threshold

A B Harris and T C Lubensky
Journal of Physics A: Mathematical and General 17 (11) L609 (1984)
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Conduction in random networks on super-normal conductors: geometrical interpretation and enhancement of nonlinearity

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A comparative study of interacting random-walk models

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Universal behaviour of N-body decay processes

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Structure of clusters generated by random walks

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Conductivity measurement on percolation fractal

A Palevski and G Deutscher
Journal of Physics A: Mathematical and General 17 (16) L895 (1984)
DOI: 10.1088/0305-4470/17/16/007
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Scaling relation for the critical exponents of the backbone of percolation clusters

M Sahimi
Journal of Physics A: Mathematical and General 17 (15) 3073 (1984)
DOI: 10.1088/0305-4470/17/15/025
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Random walks on hierarchical lattices at the percolation threshold

D C Hong
Journal of Physics A: Mathematical and General 17 (17) L929 (1984)
DOI: 10.1088/0305-4470/17/17/004
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Branched polymer approach to the structure of lattice animals and percolation clusters

S Alexander, G S Grest, H Nakanishi and T A Witten
Journal of Physics A: Mathematical and General 17 (4) L185 (1984)
DOI: 10.1088/0305-4470/17/4/006
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Novel dimension-independent behaviour for diffusive annihilation on percolation fractals

P Meakin and H E Stanley
Journal of Physics A: Mathematical and General 17 (4) L173 (1984)
DOI: 10.1088/0305-4470/17/4/004
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Superuniversal spectral dimension for dilute branched polymers?

M Sahimi and G R Jerauld
Journal of Physics A: Mathematical and General 17 (4) L165 (1984)
DOI: 10.1088/0305-4470/17/4/003
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Diffusion on lattice animals and percolation clusters: a renormalisation group approach

H Gould and R P Kohin
Journal of Physics A: Mathematical and General 17 (4) L159 (1984)
DOI: 10.1088/0305-4470/17/4/002
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Diffusion on random clusters and the parasite problem

S Wilke, Y Gefen, V Ilkovic, A Aharony and D Stauffer
Journal of Physics A: Mathematical and General 17 (3) 647 (1984)
DOI: 10.1088/0305-4470/17/3/026
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Self-avoiding walk model for proteins: a real space renormalisation group treatment

A Christou and R B Stinchcombe
Journal of Physics A: Mathematical and General 19 (6) L357 (1986)
DOI: 10.1088/0305-4470/19/6/011
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Geometrical arguments against the Alexander-Orbach conjecture for lattice animals and diffusion limited aggregates

F Family and A Coniglio
Journal of Physics A: Mathematical and General 17 (5) L285 (1984)
DOI: 10.1088/0305-4470/17/5/013
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On the spreading dimension of percolation and directed percolation clusters

J Vannimenus, J P Nadal and H Martin
Journal of Physics A: Mathematical and General 17 (6) L351 (1984)
DOI: 10.1088/0305-4470/17/6/008
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Self-avoiding walks on percolation clusters

M Sahimi
Journal of Physics A: Mathematical and General 17 (7) L379 (1984)
DOI: 10.1088/0305-4470/17/7/002
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Scaling behaviour for excitation trapping on fractals

G Zumofen, A Blument and J Klafter
Journal of Physics A: Mathematical and General 17 (9) L479 (1984)
DOI: 10.1088/0305-4470/17/9/005
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The notion of a strange fractal phenomenon-disorder induced walk

R B Pandey
Journal of Physics A: Mathematical and General 17 (10) L551 (1984)
DOI: 10.1088/0305-4470/17/10/006
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Renormalisation on Sierpinski-type fractals

R Hilfer and A Blumen
Journal of Physics A: Mathematical and General 17 (10) L537 (1984)
DOI: 10.1088/0305-4470/17/10/004
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On a new class of planar fractals: the Pascal-Sierpinski gaskets

N S Holter, A Lakhtakia, V K Varadan, V V Varadan and R Messier
Journal of Physics A: Mathematical and General 19 (9) 1753 (1986)
DOI: 10.1088/0305-4470/19/9/047
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Diffusion on percolation clusters with a bias in topological space: non-universal behaviour

S Havlin, A Bunde, H E Stanley and D Movshovitz
Journal of Physics A: Mathematical and General 19 (11) L693 (1986)
DOI: 10.1088/0305-4470/19/11/008
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Random walk on fractals: numerical studies in two dimensions

J C Angles d'Auriac, A Benoit and R Rammal
Journal of Physics A: Mathematical and General 16 (17) 4039 (1983)
DOI: 10.1088/0305-4470/16/17/020
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The vibrational spectrum of Eden clusters in many dimensions

D Dhar
Journal of Physics A: Mathematical and General 18 (12) L713 (1985)
DOI: 10.1088/0305-4470/18/12/005
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Probability densities for the displacement of random walks on percolation clusters

S Havlin, D Movshovitz, B Trus and G H Weiss
Journal of Physics A: Mathematical and General 18 (12) L719 (1985)
DOI: 10.1088/0305-4470/18/12/006
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A fractal model for band structures just above percolation threshold

T Nagatani
Journal of Physics A: Mathematical and General 18 (13) L821 (1985)
DOI: 10.1088/0305-4470/18/13/016
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Anomalous conformation of polymer chains: random walk of a random walk on a random walk

R B Pandey
Journal of Physics A: Mathematical and General 19 (2) L53 (1986)
DOI: 10.1088/0305-4470/19/2/006
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Critical dynamics at the percolation threshold

A C Maggs and R B Stinchcombe
Journal of Physics A: Mathematical and General 19 (2) L63 (1986)
DOI: 10.1088/0305-4470/19/2/008
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Electrical properties of percolation clusters: exact results on a deterministic fractal

J P Clerc, G Giraud, J M Laugier and J M Luck
Journal of Physics A: Mathematical and General 18 (13) 2565 (1985)
DOI: 10.1088/0305-4470/18/13/032
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The fractal dimension and other percolation exponents in four and five dimensions

N Jan, D C Hong and H E Stanley
Journal of Physics A: Mathematical and General 18 (15) L935 (1985)
DOI: 10.1088/0305-4470/18/15/006
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A diffusion model for transport on loopless aggregates

S Havlin, B Trus and G H Weiss
Journal of Physics A: Mathematical and General 18 (16) L1043 (1985)
DOI: 10.1088/0305-4470/18/16/009
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Real space renormalisation group method for the dilute Gaussian model and its relation to the random walk problems near the percolation threshold

A L Kholodenko
Journal of Physics A: Mathematical and General 18 (16) 3227 (1985)
DOI: 10.1088/0305-4470/18/16/023
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Field theoretic approaches to biconnectedness in percolating systems

A B Harris and T C Lubensky
Journal of Physics A: Mathematical and General 16 (11) L365 (1983)
DOI: 10.1088/0305-4470/16/11/005
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Topological and geometrical properties of DLA clusters

R M Malzbender, R C Mockler and W J O'Sullivan
Journal of Physics A: Mathematical and General 18 (18) L1143 (1985)
DOI: 10.1088/0305-4470/18/18/006
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Series expansion evidence supporting the Alexander-Orbach conjecture in two dimensions

J W Essam and F M Bhatti
Journal of Physics A: Mathematical and General 18 (18) 3577 (1985)
DOI: 10.1088/0305-4470/18/18/019
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Subordination on ultrametric spaces

G Kohler and A Blumen
Journal of Physics A: Mathematical and General 20 (16) 5627 (1987)
DOI: 10.1088/0305-4470/20/16/036
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The chemical distance distribution in percolation clusters

S Havlin, B Trus, G H Weiss and D Ben-Avraham
Journal of Physics A: Mathematical and General 18 (5) L247 (1985)
DOI: 10.1088/0305-4470/18/5/004
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A Levy flight approach to diffusion on a SAW with cross-links

J P Bouchaud and A Georges
Journal of Physics A: Mathematical and General 20 (17) L1161 (1987)
DOI: 10.1088/0305-4470/20/17/006
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AC conductivity for the two-dimensional bond-percolation problem

R Biller
Journal of Physics A: Mathematical and General 18 (6) 989 (1985)
DOI: 10.1088/0305-4470/18/6/020
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Scaling treatment of anisotropic diffusion

R B Stinchcombe
Journal of Physics A: Mathematical and General 18 (10) L591 (1985)
DOI: 10.1088/0305-4470/18/10/007
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Density of states and dynamic scaling on the Vicsek snowflake fractal

J A Ashraff and B W Southern
Journal of Physics A: Mathematical and General 21 (10) 2431 (1988)
DOI: 10.1088/0305-4470/21/10/020
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Fractal geometries in decay models

J R Banavar, M Muthukumar and J F Willemsen
Journal of Physics A: Mathematical and General 18 (1) 61 (1985)
DOI: 10.1088/0305-4470/18/1/017
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Transport in a two-component randomly composite material: scaling theory and computer simulations of termite diffusion near the superconducting limit

A Bunde, A Coniglio, D C Hong and H E Stanley
Journal of Physics A: Mathematical and General 18 (3) L137 (1985)
DOI: 10.1088/0305-4470/18/3/007
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First exit time of termites and random super-normal conductor networks

J Adler, A Aharony and D Stauffer
Journal of Physics A: Mathematical and General 18 (3) L129 (1985)
DOI: 10.1088/0305-4470/18/3/006
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Duality in fractals

H Nencka-Ficek
Journal of Physics A: Mathematical and General 18 (2) 327 (1985)
DOI: 10.1088/0305-4470/18/2/023
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Conductivity exponents from the analysis of series expansions for random resistor networks

J Adler
Journal of Physics A: Mathematical and General 18 (2) 307 (1985)
DOI: 10.1088/0305-4470/18/2/020
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Critical phenomena in fractal spin systems

H Tasaki
Journal of Physics A: Mathematical and General 20 (13) 4521 (1987)
DOI: 10.1088/0305-4470/20/13/050
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Calculating dynamic structure factors with the real space renormalisation group

A C Maggs and R B Stinchcombe
Journal of Physics A: Mathematical and General 19 (13) 2637 (1986)
DOI: 10.1088/0305-4470/19/13/028
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Anomalous diffusion on regular and random models for diffusion-limited aggregation

A Christou and R B Stinchcombe
Journal of Physics A: Mathematical and General 19 (13) 2625 (1986)
DOI: 10.1088/0305-4470/19/13/027
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Dynamics of branched polymers in the reaction bath

M Daoud
Journal of Physics A: Mathematical and General 21 (4) L237 (1988)
DOI: 10.1088/0305-4470/21/4/009
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Self-dual fractal models for the low-field Hall effect near percolation threshold

T Nagatani
Journal of Physics A: Mathematical and General 19 (14) 2781 (1986)
DOI: 10.1088/0305-4470/19/14/016
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Finite-size electrical resistivity and resistance in fractals

S L A de Queiroz
Journal of Physics A: Mathematical and General 21 (2) L107 (1988)
DOI: 10.1088/0305-4470/21/2/008
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Random walks on ultrametric spaces: low temperature patterns

A Blumen, G Zumofen and J Klafter
Journal of Physics A: Mathematical and General 19 (14) L861 (1986)
DOI: 10.1088/0305-4470/19/14/007
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Non-linear response in percolation systems

H Harder, A Bunde and S Havlin
Journal of Physics A: Mathematical and General 19 (15) L927 (1986)
DOI: 10.1088/0305-4470/19/15/012
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Scaling theory for the dynamic density profile at criticality

P M Shand
Journal of Physics A: Mathematical and General 20 (7) 1911 (1987)
DOI: 10.1088/0305-4470/20/7/035
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Critical dynamics in Heisenberg ferromagnets and antiferromagnets near the percolation threshold

I R Pimentel and R B Stinchcombe
Journal of Physics A: Mathematical and General 22 (18) 3959 (1989)
DOI: 10.1088/0305-4470/22/18/029
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Remarks on duality, lattices and the Sierpinski gasket

H Nencka-Ficek
Journal of Physics A: Mathematical and General 20 (1) 251 (1987)
DOI: 10.1088/0305-4470/20/1/033
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A conjecture on the Vogel-Fulcher law ion hierarchical structure

T Vilgis
Journal of Physics A: Mathematical and General 20 (3) 757 (1987)
DOI: 10.1088/0305-4470/20/3/037
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Neutron spin echo measurements of the diffusion of water in porous solids

J -C Li, D K Ross and C Lartigue
Journal of Physics: Condensed Matter 5 (41) 7529 (1993)
DOI: 10.1088/0953-8984/5/41/001
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Dynamic and scattering properties of the Sierpinski gasket

C Benoit, G Poussigue and A Assaf
Journal of Physics: Condensed Matter 4 (12) 3153 (1992)
DOI: 10.1088/0953-8984/4/12/011
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A model of diffusion in a spatially disordered lattice

L F Perondi and R J Elliott
Journal of Physics: Condensed Matter 5 (37) 6857 (1993)
DOI: 10.1088/0953-8984/5/37/006
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Scaling exponents for random walks on Sierpinski carpets and number of distinct sites visited: a new algorithm for infinite fractal lattices

Ruma Dasgupta, T K Ballabh and S Tarafdar
Journal of Physics A: Mathematical and General 32 (37) 6503 (1999)
DOI: 10.1088/0305-4470/32/37/302
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A qualitative study of the instability of fractal aggregates

Zidan Wang, Chang-de Gong, A Holz and C S Ting
Journal of Physics: Condensed Matter 1 (15) 2575 (1989)
DOI: 10.1088/0953-8984/1/15/003
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Dynamics of percolating networks

E Royer, C Benoit and G Poussigue
Journal of Physics: Condensed Matter 4 (2) 561 (1992)
DOI: 10.1088/0953-8984/4/2/024
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Vibrational properties of an octagonal quasicrystal

Zhengyou Liu, Zhehua Zhang, Jiang Qing and Decheng Tian
Journal of Physics: Condensed Matter 4 (29) 6343 (1992)
DOI: 10.1088/0953-8984/4/29/018
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The Classical and Superconductive (Rigid) Percolation Models

A.S. Skal
physica status solidi (b) 230 (1) 263 (2002)
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Conduction in Granular Metals by Virtual Tunneling on the Fractal Percolation Cluster

I.P. Zvyagin and R. Keiper
physica status solidi (b) 230 (1) 151 (2002)
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Quantum field-theory models on fractal spacetime

G. Eyink
Communications in Mathematical Physics 125 (4) 613 (1989)
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Fractal analysis of macromolecules

Viktor U Novikov and Georgii V Kozlov
Russian Chemical Reviews 69 (4) 347 (2000)
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Structure and properties of polymers in terms of the fractal approach

Viktor U Novikov and Georgii V Kozlov
Russian Chemical Reviews 69 (6) 523 (2000)
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Spectral dimension of a wire network

H Watanabe
Journal of Physics A: Mathematical and General 18 (14) 2807 (1985)
DOI: 10.1088/0305-4470/18/14/030
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Near-field optical microscopy of fractal structures

Victor Coello and Sergey I Bozhevolnyi
Nanotechnology 10 (1) 108 (1999)
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Diffusion and fracton dimensionality on fractals and on percolation clusters

S Havlin and D Ben-Avraham
Journal of Physics A: Mathematical and General 16 (13) L483 (1983)
DOI: 10.1088/0305-4470/16/13/008
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Diffusion on fractal lattices and the fractal Einstein relation

J A Given and B B Mandelbrot
Journal of Physics A: Mathematical and General 16 (15) L565 (1983)
DOI: 10.1088/0305-4470/16/15/003
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Thermal crossover effects resulting from dilution-induced magnon critical dynamics

R B Stinchcombe and I R Pimentel
Journal of Physics A: Mathematical and General 21 (16) L807 (1988)
DOI: 10.1088/0305-4470/21/16/005
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Dynamics of random media: anomalous wave propagation and damping near the percolation threshold

M Daoud, F Family and D C Hong
Journal of Physics A: Mathematical and General 21 (18) L917 (1988)
DOI: 10.1088/0305-4470/21/18/009
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A transfer-matrix approach to random resistor networks

B Derrida and J Vannimenus
Journal of Physics A: Mathematical and General 15 (10) L557 (1982)
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Probability distribution of random walks on self-avoiding walks

H Eduardo Roman
Journal of Physics A: Mathematical and General 30 (10) 3463 (1997)
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AC conductivity and diffusion near the percolation threshold

W Schirmacher
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DOI: 10.1088/0305-4470/27/19/002
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Transience on the average and spontaneous symmetry breaking on graphs

Raffaella Burioni, Davide Cassi and Alessandro Vezzani
Journal of Physics A: Mathematical and General 32 (30) 5539 (1999)
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Steady state of imperfect annihilation and coagulation reactions

H O Martin, J L Iguain and M Hoyuelos
Journal of Physics A: Mathematical and General 28 (18) 5227 (1995)
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Diffusion on loopless critical percolation cluster

S Mukherjee, D J Jacobs and H Nakanishi
Journal of Physics A: Mathematical and General 28 (2) 291 (1995)
DOI: 10.1088/0305-4470/28/2/007
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Finite size analysis of eigenvalue spectrum for random walks on a critical percolation cluster in four dimensions

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Electronic spectral dimension of a fractal aggregate taking account of hybridization

N Olivi-Tran, M Leleyter and R Thouy
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Anomalous acoustic behaviour and backbone structure of percolation clusters

T Ohtsuki and T Keyes
Journal of Physics A: Mathematical and General 17 (3) L137 (1984)
DOI: 10.1088/0305-4470/17/3/008
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Diffusion and trapping of excitations in disordered systems

M Sahimi
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DOI: 10.1088/0305-4470/17/12/026
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Studies of the spectral dimension for branched Koch curves

R Tao
Journal of Physics A: Mathematical and General 20 (17) 6151 (1987)
DOI: 10.1088/0305-4470/20/17/050
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Anomalous diffusion on fractal lattices with site disorder

S Robillard and A -M S Tremblay
Journal of Physics A: Mathematical and General 19 (11) 2171 (1986)
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On the propagator of Sierpinski gaskets

J Klafter, G Zumofen and A Blumen
Journal of Physics A: Mathematical and General 24 (20) 4835 (1991)
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Fractional diffusion equation on fractals: three-dimensional case and scattering function

H E Roman and M Giona
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Application of fracton theory to nanocrystalline iron

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Fractal dimensionality and the number of visited sites of the ant in the labyrinth

R B Pandey and D Stauffer
Journal of Physics A: Mathematical and General 16 (14) L511 (1983)
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Exact fractals with adjustable fractal and fracton dimensionalities

D Ben-Avraham and S Havlin
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The backbone and conductivity of random clusters

M Sahimi
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DOI: 10.1088/0305-4470/18/1/020
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Critical dynamics of a dilute central force network with partial bond bending forces

G D Hughes, C J Lambert and D Burton
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Vibrational density of states of general two-component random mixtures near percolation thresholds

S Russ, H Eduardo Roman and A Bunde
Journal of Physics: Condensed Matter 3 (26) 4797 (1991)
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Vector vibrations and the Ioffe-Regel crossover in disordered lattices

S N Taraskin and S R Elliott
Journal of Physics: Condensed Matter 14 (12) 3143 (2002)
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Low-frequency vibrational states in Spectrosil-B

N Ahmad, T Hussain and C J Adkins
Journal of Physics: Condensed Matter 5 (2) 147 (1993)
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