Response in kinetic Ising model to oscillating magnetic fields

TL;DR

This paper investigates how kinetic Ising models respond to oscillating magnetic fields using mean-field and Ginzburg-Landau approaches, providing analytic results that align well with simulations, especially in the context of stochastic resonance.

Contribution

It introduces analytic methods to analyze the dynamic response of kinetic Ising models under oscillating fields, enhancing understanding of stochastic resonance phenomena.

Findings

Analytic expressions for temperature and frequency-dependent response.

Identification of resonance temperature in the model.

Good agreement between theory and simulation data.

Abstract

Ising models obeying Glauber dynamics in a temporally oscillating magnetic field are analyzed. In the context of stochastic resonance, the response in the magnetization is calculated by means of both a mean-field theory with linear-response approximation, and the time-dependent Ginzburg-Landau equation. Analytic results for the temperature and frequency dependent response, including the resonance temperature, compare favorably with simulation data.