On the stochastic dynamics of disordered spin models

Details On the stochastic dynamics of disordered spin models On the stochastic dynamics of disordered spin models

2003-04-15

arxiv.org/abs/cond-mat/0304333v1

J. Stat. Phys. 115, 493 (2004)

Physics

Condensed Matter

Statistical Mechanics

25 pages

Scientific paper

10.1023/B:JOSS.0000019821.08230.

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.

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