| Numéro |
J. Physique Lett.
Volume 46, Numéro 24, décembre 1985
|
|
|---|---|---|
| Page(s) | 1159 - 1162 | |
| DOI | https://doi.org/10.1051/jphyslet:0198500460240115900 | |
J. Physique Lett. 46, 1159-1162 (1985)
DOI: 10.1051/jphyslet:0198500460240115900
Physique des Solides, Université Paris-Sud, 91405 Orsay Cedex, France
0540 - Fluctuation phenomena, random processes, and Brownian motion.
0550 - Lattice theory and statistics: Ising problems.
7540 - Critical point effects, specific heats, short range order in magnetic materials.
Key words
Ising model -- percolation -- random processes -- spin glasses -- closed loop -- spin glass relaxation -- random walks -- phase space -- spin glass transition -- percolation threshold -- eigenstate space
DOI: 10.1051/jphyslet:0198500460240115900
Random walks on a closed loop and spin glass relaxation
I.A. CampbellPhysique des Solides, Université Paris-Sud, 91405 Orsay Cedex, France
Abstract
The relaxation processes in an Ising spin glass are discussed in terms of random walks on a closed surface in phase space. Stretched exponential behaviour appears in a simple manner and the spin glass transition is identified with a percolation threshold in eigenstate space.
Résumé
Les processus de relaxation dans un verre de spin Ising sont discutés en termes de la marche aléatoire sur une surface fermée dans l'espace des phases. Le comportement exponentiel étiré est démontré de façon simple, et la transition verre de spin est associée au seuil de percolation dans l'espace des états propres.
0540 - Fluctuation phenomena, random processes, and Brownian motion.
0550 - Lattice theory and statistics: Ising problems.
7540 - Critical point effects, specific heats, short range order in magnetic materials.
Key words
Ising model -- percolation -- random processes -- spin glasses -- closed loop -- spin glass relaxation -- random walks -- phase space -- spin glass transition -- percolation threshold -- eigenstate space