XY Model with Persistent Noise
Abstract
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 quasiordered 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.
Fields of Study & Subjects
stochastic dynamics and bifurcation
Theoretical and Computational Physics
Complex Systems and Time Series Analysis
Publication details
- Journal / source
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Volume
- 136
- Issue
- 8
- Pages
- 088302–088302
- Publication date
- 14 January 2026
- Language
- EN