Non-equilibrium Dynamics of Finite Interfaces

TL;DR

This paper provides an exact microscopic solution for the non-equilibrium dynamics of a finite interface in a two-phase Ising system, aligning with previous phenomenological models in the scaling regime.

Contribution

It introduces a microscopically motivated exact solution for interface dynamics, bridging microscopic and coarse-grained approaches.

Findings

Exact solution for interface dynamics in Ising model

Consistency with Langevin approach in scaling regime

Insights into microscopic mechanisms of domain wall movement

Abstract

We present an exact solution to an interface model representing the dynamics of a domain wall in a two-phase Ising system. The model is microscopically motivated, yet we find that in the scaling regime our results are consistent with those obtained previously from a phenomenological, coarse-grained Langevin approach.