Critical Relaxation and Critical Exponents

Abstract

Dynamic relaxation of the XY model and fully frustrated XY model quenched from an initial ordered state to the critical temperature or below is investigated with Monte Carlo methods. Universal power law scaling behaviour is observed. The dynamic critical exponent $z$ and the static exponent $η$ are extracted from the time-dependent Binder cumulant and magnetization. The results are competitive to those measured with traditional methods.