Characteristic power spectrum of the diffusive interface dynamics in the two-dimensional Ising Model

TL;DR

This paper studies the power spectrum of interface motion in the 2D Ising model, revealing diffusive behavior influenced by temperature gradients and interface width, extending understanding from 1D systems.

Contribution

It demonstrates that interface dynamics in the 2D Ising model exhibit diffusive characteristics with drift under thermal gradients, expanding prior 1D findings to two dimensions.

Findings

Interface motion follows a diffusion process with drift under temperature differences.

Power spectrum analysis reveals characteristic features of interface dynamics.

Effects of interface width on diffusive behavior are discussed.

Abstract

We investigate properties of the diffusive motion of an interface in the two-dimensional Ising model in equilibrium or nonequilibrium situations. We focused on the relation between the power spectrum of a time sequence of spins and diffusive motion of an interface which was already clarified in one- dimensional systems with a nonequilibrium phase transition like the asymmetric simple exclusion process. It is clarified that the interface motion is a diffusion process with a drift force toward the higher-temperature side when the system is in contact with heat reservoirs at different temperatures and heat transfers through the system. Effects of the width of the interface are also discussed.