Monte Carlo simulations for two-dimensional Ising system far from equilibrium

• DOI: 10.1007/s11434-007-0060-0
• Publication Date: 2007-02-17T05:15:39Z
• Authors: XiaoWei Lei; Ji Zheng; XiaoYu Zhao
• Keywords: Exponent

With a dynamic Monte Carlo simulation, which is free of critical slowing down, the critical behavior of two-dimensional Ising model at non-equilibrium states is investigated. We focus on the two-time autocorrelation function A(t, t′) to identify the dynamic exponent z in two different evolution stages, quenched from a high temperature state and a completely ordered state to the critical state at TC, respectively. By using the heat-bath algorithm, the dynamic critical exponent is estimated as z ≈ 2.16. As a result, the universality of the scaling behavior is verified numerically, and the exponent λC is determined complete by λC = β/v for the evolutions from an initial completely ordered state.