Nonequilibrium critical dynamics of the two-dimensional XY model

被引:108
作者
Berthier, L [1 ]
Holdsworth, PCW
Sellitto, M
机构
[1] Univ Lyon 1, Dept Phys Mat, F-69622 Villeurbanne, France
[2] CNRS, F-69622 Villeurbanne, France
[3] Ecole Normale Super Lyon, Phys Lab, F-69007 Lyon, France
[4] CNRS, F-69007 Lyon, France
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2001年 / 34卷 / 09期
关键词
D O I
10.1088/0305-4470/34/9/301
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The nonequilibrium critical dynamics of the two-dimensional 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 nontrivial 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.
引用
收藏
页码:1805 / 1824
页数:20
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