XY Model with Persistent Noise

Fuente: arXiv
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Autores principales: Shi, Xia-qing, Chaté, Hugues, Mahault, Benoît
Formato: Preprint
Publicado: 2026
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author Shi, Xia-qing
Chaté, Hugues
Mahault, Benoît
author_facet Shi, Xia-qing
Chaté, Hugues
Mahault, Benoît
contents We consider a 2D XY model subjected to time-correlated noise, a model of direct relevance to active crystals, which were shown recently to be able to support very large deformations without melting in the presence of persistent fluctuations. We find that our persistent XY model can remain quasi-ordered in spite of correlations decaying much faster than allowed in equilibrium. We then investigate theoretically and numerically the order-disorder transition and conclude that it remains of the Berezinskii-Kosterlitz-Thouless type, but with scaling exponents that vary with the persistence time of the noise.
format Preprint
id arxiv_https___arxiv_org_abs_2602_22028
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle XY Model with Persistent Noise
Shi, Xia-qing
Chaté, Hugues
Mahault, Benoît
Statistical Mechanics
Soft Condensed Matter
We consider a 2D XY model subjected to time-correlated noise, a model of direct relevance to active crystals, which were shown recently to be able to support very large deformations without melting in the presence of persistent fluctuations. We find that our persistent XY model can remain quasi-ordered in spite of correlations decaying much faster than allowed in equilibrium. We then investigate theoretically and numerically the order-disorder transition and conclude that it remains of the Berezinskii-Kosterlitz-Thouless type, but with scaling exponents that vary with the persistence time of the noise.
title XY Model with Persistent Noise
topic Statistical Mechanics
Soft Condensed Matter
url https://arxiv.org/abs/2602.22028