Out of equilibrium dynamics in the bidimensional spin-ice model

TL;DR

This paper investigates the out-of-equilibrium dynamics of a 2D spin-ice model after a quench, focusing on defect evolution, domain growth mechanisms, and dynamic scaling in different phases.

Contribution

It provides a detailed analysis of defect densities and domain growth mechanisms in 2D spin-ice following quenches into various phases, highlighting long-lived defect densities and anisotropic scaling.

Findings

Defect densities remain finite over long times in all quenches.

Identified mechanisms driving domain growth in ordered phases.

Measured anisotropic growth lengths and dynamic scaling behaviors.

Abstract

We study the dynamics of 2d spin-ice following a quench from a fully disordered initial condition (equilibrium at infinite temperature) into its disordered, ferromagnetic and antiferromagnetic phases. We analyze the evolution of the density of topological defects and we show that these take finite density over very long periods of time in all kinds of quenches. We identify the leading mechanisms for the growth of domains in the ordered phases and we evaluate the (anisotropically) growing lengths involved in dynamic scaling.