CROSSOVER-BEHAVIOR OF A ONE-DIMENSIONAL RANDOM ENERGY-MODEL

Authors
CAMPELLONE M FRANZ S PARISI G
Citation
M. Campellone et al., CROSSOVER-BEHAVIOR OF A ONE-DIMENSIONAL RANDOM ENERGY-MODEL, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 58(5), 1998, pp. 5455-5460
Citations number
12
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
58
Issue
5
Year of publication
1998
Part
A
Pages
5455 - 5460
Database
ISI
SICI code
1063-651X(1998)58:5<5455:COAORE>2.0.ZU;2-Y
Abstract
In this paper we formulate a finite-dimensional generalization of the random energy model (REM) where we introduce a geometry and spatial co rrelations between energies. We study the model in dimension one by tr ansfer matrix techniques and we look at the crossover from one-dimensi onal to mean-field behavior. In a first version of the model the mean field limit reproduces the behavior of the original REM, while a secon d version of the model exhibits a first-order phase transition with a finite latent heat, [S1063-651X(98)00211-6].