Persistence and Memory in Patchwork Dynamics for Glassy Models

TL;DR

This paper introduces patchwork dynamics, a method to simulate slow, large-scale nonequilibrium behavior in disordered materials, capturing coarsening, memory effects, and enabling ground state determination in complex systems.

Contribution

The paper presents a novel patchwork dynamics approach that efficiently models slow relaxation, memory effects, and ground state searches in glassy and disordered systems.

Findings

Successfully replicates memory effects in spin glasses and ferromagnets.

Enables high-confidence ground state determination in large samples.

Models coarsening dynamics over broad time scales.

Abstract

Slow dynamics in disordered materials prohibits direct simulation of their rich nonequilibrium behavior at large scales. "Patchwork dynamics" is introduced to mimic relaxation over a very broad range of time scales by equilibrating or optimizing directly on successive length scales. This dynamics is used to study coarsening and to replicate memory effects for spin glasses and random ferromagnets. It is also used to find, with high confidence, exact ground states in large or toroidal samples.