Effective equilibrium picture in $xy-$model with exponentially correlated noise
Statistical Mechanics
2018-02-21 v2 Soft Condensed Matter
Abstract
We study the effect of exponentially correlated noise on model in the limit of small correlation time discussing the order-disorder transition in mean-field and the topological transition in two dimensions. We map the steady states of the non-equilibrium dynamics into an effective equilibrium theory. In mean-field, the critical temperature increases with the noise correlation time indicating that memory effects promote ordering. This finding is confirmed by numerical simulations. The topological transition temperature in two dimensions remains untouched. However, finite size effects induce a crossover in the vortices proliferation that is confirmed by numerical simulations.
Keywords
Cite
@article{arxiv.1709.04232,
title = {Effective equilibrium picture in $xy-$model with exponentially correlated noise},
author = {Matteo Paoluzzi and Umberto Marini Bettolo Marconi and Claudio Maggi},
journal= {arXiv preprint arXiv:1709.04232},
year = {2018}
}