The mean field infinite range p=3 spin glass: equilibrium landscape and correlation time scales

TL;DR

This paper explores the equilibrium dynamics and static properties of the mean field 3-spin spin glass model, revealing that equilibrium time scales grow logarithmically with system size, indicating complex energy landscape behavior.

Contribution

It provides a detailed numerical analysis of the equilibrium dynamics and static properties of the mean field 3-spin spin glass, highlighting the growth of time scales with system size.

Findings

Equilibrium time scales increase logarithmically with system size V.

The study offers an accurate characterization of the static properties of the model.

Demonstrates the complex landscape structure influencing dynamics.

Abstract

We investigate numerically the dynamical behavior of the mean field 3-spin spin glass model: we study equilibrium dynamics, and compute equilibrium time scales as a function of the system size V. We find that for increasing volumes the time scales $\tau$ increase like $\ln \tau \propto V$. We also present an accurate study of the equilibrium static properties of the system.