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 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.

7 pages, 5 figures

References in corpus (10)

• How far from equilibrium is active matter?
• Statistical Mechanics of Active Ornstein Uhlenbeck Particles
• Nonequilibrium Critical Dynamics of the 2D XY model
• Two-stage melting induced by dislocations and grain boundaries in Monolayers of Hard Spheres
• Equilibrium Configurations and Energetics of Point Defects in Two-Dimensional Colloidal Crystals
• Quench dynamics of the 2d XY model
• Active Matter Class with Second-Order Transition to Quasi-Long-Range Polar Order
• Extreme Spontaneous Deformations of Active Crystals
• Invaded cluster simulations of the XY model in two and three dimensions
• Effective equilibrium picture in $xy-$model with exponentially correlated noise