On the stochastic dynamics of disordered spin models

On the stochastic dynamics of disordered spin models

In this article we discuss several aspects of the stochastic dynamics of spin models. The paper has two independent parts. Firstly, we explore a few properties of the multi-point correlations and responses of generic systems evolving in equilibrium with a thermal bath. We propose a fluctuation princ...

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Veröffentlicht in:Journal of statistical physics 2004-04, Vol.115 (1-2), p.493-530
Hauptverfasser: SEMERJIAN, G, CUGLIANDOLO, L. F, MONTANARI, A
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Statistical physics, thermodynamics, and nonlinear dynamical systems
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creator SEMERJIAN, G
CUGLIANDOLO, L. F
MONTANARI, A
description In this article we discuss several aspects of the stochastic dynamics of spin models. The paper has two independent parts. Firstly, we explore a few properties of the multi-point correlations and responses of generic systems evolving in equilibrium with a thermal bath. We propose a fluctuation principle that allows us to derive fluctuation-dissipation relations for many-time correlations and linear responses. We also speculate on how these features will be modified in systems evolving slowly out of equilibrium, as finite-dimensional or dilute spin-glasses. Secondly, we present a formalism that allows one to derive a series of approximated equations that determine the dynamics of disordered spin models on random (hyper) graphs.
doi_str_mv 10.1023/b:joss.0000019821.08230.72
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subjects Condensed Matter
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Other
Physics
Statistical physics, thermodynamics, and nonlinear dynamical systems
title On the stochastic dynamics of disordered spin models
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