Equilibrium and Dynamics of a Multi-Bath Sherrington-Kirkpatrick Model
Disordered Systems and Neural Networks
2019-09-04 v1 Mathematical Physics
math.MP
Abstract
In this paper we study the equilibrium statistical mechanical as well as the dynamical properties of a Sherrington and Kirkpatrick model in a multi-bath setting introduced in [4]. We show that the free energy per particle in the thermodynamical limit obeys a variational principle of Parisi type. The relation between the resulting order parameters is discussed.
Cite
@article{arxiv.1903.01892,
title = {Equilibrium and Dynamics of a Multi-Bath Sherrington-Kirkpatrick Model},
author = {Pierluigi Contucci and Jorge Kurchan and Emanuele Mingione},
journal= {arXiv preprint arXiv:1903.01892},
year = {2019}
}