Computational Experiment on Glassy Dynamic Nature of the Field-Cooled Magnetization in an Ising Spin-Glass Model

TL;DR

This paper investigates the glassy, nonequilibrium behavior of field-cooled magnetization in an Ising spin-glass model using Monte Carlo simulations, revealing unusual decrease at low temperatures and providing a theoretical interpretation.

Contribution

It offers a detailed computational study of the glassy dynamics of FC magnetization and interprets the phenomena within a recently proposed theoretical framework.

Findings

FC magnetization decreases when halted at low temperatures

Simulation reveals nonequilibrium glassy dynamics

Results support the proposed theoretical scenario

Abstract

The field-cooled (FC) process on an Ising spin-glass model is investigated by a standard Monte Calro (MC) method on one hand, and the equilibrium magnetization of the same system is evaluated by the exchang MC method on the other hand. The two types of simulation reveal intriguing glassy (nonequilibrium) dynamic properties of the FC magnetization (FCM) of the system. Particularly, the FCM decrease is observed when the FC process is halted at a low temperater, although its value is smaller than the corresponding equilibrium value. We present a comprehensive interpretation of such peculiar phenomena based on the scenario for the FCM process recently propsed by J\"onsson and one of us (HT).