# Equilibrium and Dynamics of a Multi-Bath Sherrington-Kirkpatrick Model

## TL;DR

This paper investigates the equilibrium and dynamical behavior of a multi-bath Sherrington-Kirkpatrick model, revealing that its free energy follows a Parisi-type variational principle and analyzing the relationships between order parameters.

## Contribution

It introduces a multi-bath extension of the SK model and demonstrates that its free energy adheres to a Parisi variational principle, advancing understanding of complex spin glass systems.

## Key findings

- Free energy obeys a Parisi-type variational principle
- Relations between order parameters are characterized
- Dynamical properties are analyzed in the multi-bath context

## 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.