a.c. response of fractal networks
J. Physique Lett., 45 19 (1984) 913-924
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https://doi.org/10.1088/0953-8984/5/25/013
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https://doi.org/10.1103/PhysRevB.47.14552
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https://doi.org/10.1016/S0022-3093(05)80379-5
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https://doi.org/10.1016/0016-0032(91)90002-K
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https://doi.org/10.1007/978-94-009-2157-3_21
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https://doi.org/10.1088/0305-4470/23/7/015
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https://doi.org/10.1080/00018739000101501
Anomalous diffusion in disordered media: Statistical mechanisms, models and physical applications
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https://doi.org/10.1016/0370-1573(90)90099-N
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James E. Martin, Douglas Adolf and Jess P. WilcoxonPhysical Review A 39 (3) 1325 (1989)
https://doi.org/10.1103/PhysRevA.39.1325
An experimental model of diffusion on bidimensional systems
P. Rigord and J.P. HulinPhysica A: Statistical Mechanics and its Applications 157 (1) 509 (1989)
https://doi.org/10.1016/0378-4371(89)90352-X
Fractals and the ac conductivity of disordered materials
G.A. NiklassonPhysica D: Nonlinear Phenomena 38 (1-3) 260 (1989)
https://doi.org/10.1016/0167-2789(89)90203-0
The impedance of a self-affine surface
M BluntJournal of Physics A: Mathematical and General 22 (8) 1179 (1989)
https://doi.org/10.1088/0305-4470/22/8/029
Fractals and percolation in porous media and flows?
Etienne Guyon, Catalin D. Mitescu, Jean-Pierre Hulin and Stéphane RouxPhysica D: Nonlinear Phenomena 38 (1-3) 172 (1989)
https://doi.org/10.1016/0167-2789(89)90187-5
Correlation and clustering in the optical properties of composites: A numerical study
X. C. Zeng, P. M. Hui, D. J. Bergman and D. StroudPhysical Review B 39 (18) 13224 (1989)
https://doi.org/10.1103/PhysRevB.39.13224
Dielectric behaviour of composite media
J.P. Clerc, G. Giraud, J.M. Laugier and J.M. LuckPhysica A: Statistical Mechanics and its Applications 157 (1) 204 (1989)
https://doi.org/10.1016/0378-4371(89)90302-6
Modèle Expérimental De Diffusion Sur Des Réseaux Bidimensionnels
P Rigord and J. P HulinEurophysics Letters (EPL) 6 (2) 145 (1988)
https://doi.org/10.1209/0295-5075/6/2/009
Fractal aspects of the dielectric response of charge carriers in disordered materials
G. A. NiklassonJournal of Applied Physics 62 (7) R1 (1987)
https://doi.org/10.1063/1.339355
Evolution of rheology during chemical gelation
H. H. WinterProgress in Colloid & Polymer Science 75 (1) 104 (1987)
https://doi.org/10.1007/BF01188363
Hierarchy of current cumulants on a Sierpinski gasket
Stéphane Roux and Catalin D. MitescuPhysical Review B 35 (2) 898 (1987)
https://doi.org/10.1103/PhysRevB.35.898
Frequency Dependence of Viscoelastic Properties of Branched Polymers near Gelation Threshold
D Durand, M Delsanti, M Adam and J. M LuckEurophysics Letters (EPL) 3 (3) 297 (1987)
https://doi.org/10.1209/0295-5075/3/3/008
Permanent and Transient Networks
H. H. WinterProgress in Colloid & Polymer Science, Permanent and Transient Networks 75 104 (1987)
https://doi.org/10.1007/BFb0109413
ac response near the percolation threshold: Transfer-matrix results in two and three dimensions
A. L. R. Bug, Gary S. Grest, Morrel H. Cohen and Itzhak WebmanPhysical Review B 36 (7) 3675 (1987)
https://doi.org/10.1103/PhysRevB.36.3675
Low‐frequency dielectric properties of Co‐Al2O3composite films
G. A. Niklasson and K. BrantervikApplied Physics Letters 50 (14) 937 (1987)
https://doi.org/10.1063/1.97986
A novel determination of the percolation exponent u in three dimensions
J M Laugier and J M LuckJournal of Physics A: Mathematical and General 20 (13) L885 (1987)
https://doi.org/10.1088/0305-4470/20/13/013
Reasoning out the empirical rule
Kumiko Hattori, Tetsuya Hattori and Hiroshi WatanabePhysics Letters A 115 (5) 207 (1986)
https://doi.org/10.1016/0375-9601(86)90466-4
AC response near percolation threshold: transfer matrix calculation in 2D
A L R Bug, G S Grest, M H Cohen and I WebmanJournal of Physics A: Mathematical and General 19 (6) L323 (1986)
https://doi.org/10.1088/0305-4470/19/6/005
Infrared-optical properties of gas-evaporated gold blacks: Evidence for anomalous conduction on fractal structures
G. A. Niklasson and C. G. GranqvistPhysical Review Letters 56 (3) 256 (1986)
https://doi.org/10.1103/PhysRevLett.56.256
Nyquist noise in a fractal resistor network
Alex Hansen and Mark NelkinPhysical Review B 33 (1) 649 (1986)
https://doi.org/10.1103/PhysRevB.33.649
AC properties of 2D percolation networks: a transfer matrix approach
J M Laugier, J P Clerc, G Giraud and J M LuckJournal of Physics A: Mathematical and General 19 (15) 3153 (1986)
https://doi.org/10.1088/0305-4470/19/15/036
Solid State Physics
S.H. LiuSolid State Physics 39 207 (1986)
https://doi.org/10.1016/S0081-1947(08)60370-7
Anomalous diffusion on and elastic vibrations of two square hierarchical lattices
S. H. Liu and A. J. LiuPhysical Review B 34 (1) 343 (1986)
https://doi.org/10.1103/PhysRevB.34.343
New approximate renormalization method on fractals
Kumiko Hattori, Tetsuya Hattori and Hiroshi WatanabePhysical Review A 32 (6) 3730 (1985)
https://doi.org/10.1103/PhysRevA.32.3730
A real-space renormalisation group approach to electrical and noise properties of percolation clusters
J M LuckJournal of Physics A: Mathematical and General 18 (11) 2061 (1985)
https://doi.org/10.1088/0305-4470/18/11/027
Electrical properties of percolation clusters: exact results on a deterministic fractal
J P Clerc, G Giraud, J M Laugier and J M LuckJournal of Physics A: Mathematical and General 18 (13) 2565 (1985)
https://doi.org/10.1088/0305-4470/18/13/032