SWAP algorithm for lattice spin models
Statistical Mechanics
2025-10-14 v2 Disordered Systems and Neural Networks
Computational Physics
Abstract
We adapted the SWAP molecular dynamics algorithm for use in lattice Ising spin models. We dressed the spins with a randomly distributed length and we alternated long-range spin exchanges with conventional single spin flip Monte Carlo updates, both accepted with a stochastic rule which respects detailed balance. We show that this algorithm, when applied to the bidimensional Edwards-Anderson model, speeds up significantly the relaxation at low temperatures and manages to find ground states with high efficiency and little computational cost. The exploration of spin models should help in understanding why SWAP accelerates the evolution of particle systems and shed light on relations between dynamics and free-energy landscapes.
Cite
@article{arxiv.2402.04981,
title = {SWAP algorithm for lattice spin models},
author = {Greivin Alfaro Miranda and Leticia F. Cugliandolo and Marco Tarzia},
journal= {arXiv preprint arXiv:2402.04981},
year = {2025}
}