Monte Carlo Simulation of the Short-time Behaviour of the Dynamic XY Model

Details Monte Carlo Simulation of the Short-time Behaviour of the Dynamic XY Model Monte Carlo Simulation of the Short-time Behaviour of the Dynamic XY Model

1997-05-22

arxiv.org/abs/cond-mat/9705236v1

J. Phys. A: Math. Gen. 30 (1997) 4527

Physics

Condensed Matter

14 pages with 5 figures in postscript

Scientific paper

10.1088/0305-4470/30/13/009

Dynamic relaxation of the XY model quenched from a high temperature state to the critical temperature or below is investigated with Monte Carlo methods. When a non-zero initial magnetization is given, in the short-time regime of the dynamic evolution the critical initial increase of the magnetization is observed. The dynamic exponent $\theta$ is directly determined. The results show that the exponent $\theta$ varies with respect to the temperature. Furthermore, it is demonstrated that this initial increase of the magnetization is universal, i.e. independent of the microscopic details of the initial configurations and the algorithms.

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