Limiting dynamics for spherical models of spin glasses at high temperature
Probability
2009-11-11 v1 Mathematical Physics
math.MP
Abstract
We analyze the coupled non-linear integro-differential equations whose solutions is the thermodynamical limit of the empirical correlation and response functions in the Langevin dynamics for spherical p-spin disordered mean-field models. We provide a mathematically rigorous derivation of their FDT solution (for the high temperature regime) and of certain key properties of this solution, which are in agreement with earlier derivations based on physical grounds.
Keywords
Cite
@article{arxiv.math/0609546,
title = {Limiting dynamics for spherical models of spin glasses at high temperature},
author = {Amir Dembo and Alice Guionnet and Christian Mazza},
journal= {arXiv preprint arXiv:math/0609546},
year = {2009}
}