Non-monotonic Relaxation in Systems with Reentrant Type Interaction

TL;DR

This paper investigates the non-monotonic relaxation behavior observed in frustrated magnetic systems, revealing that competition between configurations causes such dynamics, especially in models with reentrant temperature dependence.

Contribution

It provides a detailed analysis of the mechanisms behind non-monotonic relaxation in a frustrated Ising model with reentrant correlations, linking experimental and simulation observations.

Findings

Non-monotonic relaxation of spin correlations after temperature changes.

Competition between configurations causes non-monotonic dynamics.

Reentrant temperature dependence influences relaxation behavior.

Abstract

Recently, interesting non-monotonic time evolution has been pointed out in the experiments by J\"onsson, {\it et al.} and Jonsson {\it et.al.} and also in the numerical simulation by Takayama and Hukushima where the magnetic susceptibility does not monotonically relax to the equilibrium value, but moves to the opposite side. We study mechanism of this puzzling non-monotonic dynamical property in a frustrated Ising model in which the equilibrium correlation exhibits non-monotonic temperature dependence (reentrant type). We study the time evolution of spin correlation function after sudden change of temperature. There, we find that the value of the correlation function shows non-monotonic relaxation, and analyze mechanisms of the non-monotonicity. We also point out that competition between different configurations widely causes non-monotonic relaxation.