Kinetic Ising System in an Oscillating External Field: Stochastic Resonance and Residence-Time Distributions

TL;DR

This paper investigates how a two-dimensional kinetic Ising model exhibits stochastic resonance and hysteresis behavior under oscillating external fields, supported by theoretical and numerical analysis of residence-time and magnetization distributions.

Contribution

It provides new insights into decay mechanisms, hysteresis, and stochastic resonance in kinetic Ising systems influenced by system size and field strength.

Findings

Evidence of stochastic resonance in small systems

Frequency dependence of hysteresis-loop area distributions

Residence-time distributions support resonance phenomena

Abstract

Experimental, analytical, and numerical results suggest that the mechanism by which a uniaxial single-domain ferromagnet switches after sudden field reversal depends on the field magnitude and the system size. Here we report new results on how these distinct decay mechanisms influence hysteresis in a two-dimensional nearest-neighbor kinetic Ising model. We present theoretical predictions supported by numerical simulations for the frequency dependence of the probability distributions for the hysteresis-loop area and the period-averaged magnetization, and for the residence-time distributions. The latter suggest evidence of stochastic resonance for small systems in moderately weak oscillating fields.