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28 March 2024
 
  » arxiv » cond-mat/0012194

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Nonequilibrium Critical Dynamics of the 2D XY model
Ludovic Berthier ; Peter C. W. Holdsworth ; Mauro Sellitto ;
Date 12 Dec 2000
Journal J. Phys. A 34, 1805 (2001)
Subject Statistical Mechanics | cond-mat.stat-mech
AbstractThe 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.
Source arXiv, cond-mat/0012194
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