Dynamic Behavior of Spin Glass Systems on Quenched Phi-3 Graphs

TL;DR

This paper investigates the out-of-equilibrium dynamics of Ising spin glasses on quenched phi-3 graphs, revealing power-law decay in magnetization and energy with exponents linearly related to temperature ratio.

Contribution

It introduces quenched phi-3 graphs as an effective numerical framework for studying mean field spin glasses' dynamical behavior.

Findings

Magnetization and energy decay follow power laws.

Decay exponents are linear in T/Tc.

Quenched phi-3 graphs are effective for numerical analysis.

Abstract

We study the dynamical out-of-equilibrium behavior of a $J = \pm 1$ Ising spin glass on quenched $\phi^{3}$ graphs. We show that magnetization and energy decay with a power law behavior, with exponents that are linear in $\frac{T}{T_{c}}$. Quenched $\phi^{3}$ graphs turn out to be a very effective way to study numerically mean field spin glasses.