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

页码：1805 / 1824

页数：20