Nonequilibrium Critical Dynamics of the 2D XY model
Abstract
The nonequilibrium critical dynamics of the 2D XY model is investigated numerically through Monte Carlo simulations and analytically in the spin-wave approximation. We focus in particular on the behaviour of the two-time response and correlation functions and show that the ageing dynamics depends on the initial conditions. The presence of critical fluctuations leads to non-trivial violations of the fluctuation-dissipation theorem apparently reminiscent of the three dimensional Edwards-Anderson spin glass model. We compute for this reason the finite-size overlap probability distribution function and find that it is related to the finite-time fluctuation-dissipation ratio obtained in the out of equilibrium dynamics, provided that the temperature is not very low.
Keywords
Cite
@article{arxiv.cond-mat/0012194,
title = {Nonequilibrium Critical Dynamics of the 2D XY model},
author = {Ludovic Berthier and Peter C. W. Holdsworth and Mauro Sellitto},
journal= {arXiv preprint arXiv:cond-mat/0012194},
year = {2009}
}
Comments
Minor changes - Version accepted for publication - Journal of Physics A