Entropic sampling dynamics of the globally-coupled kinetic Ising model

TL;DR

This paper investigates how entropic sampling dynamics influence the behavior of a globally coupled kinetic Ising model under oscillating magnetic fields, revealing coherence phenomena and their dependence on system size and time-scale matching.

Contribution

It introduces an analysis of entropic sampling dynamics in the globally coupled Ising model with oscillating fields, highlighting coherence effects and their relation to time-scale matching.

Findings

Coherence between magnetization and external field observed at low frequencies.

Coherence weakens as system size increases.

Time-scale matching explains the coherence behavior.

Abstract

The entropic sampling dynamics based on the reversible information transfer to and from the environment is applied to the globally coupled Ising model in the presence of an oscillating magnetic field. When the driving frequency is low enough, coherence between the magnetization and the external magnetic field is observed; such behavior tends to weaken with the system size. The time-scale matching between the intrinsic time scale, defined in the absence of the external magnetic field, and the extrinsic time scale, given by the inverse of the driving frequency, is used to explain the observed coherence behavior.