具有淬火无序的二维伊辛模型中脱钉相变的普适类
Universality class of the depinning transition in the two-dimensional Ising model with quenched disorder
摘要：
用Monte Carlo方法研究了具有猝灭随机场的二维伊辛模型中脱钉相变的普适类.基于短时动力学方法，我们精确地确定了退钉扎转变场以及静态和动态临界指数。临界指数随随机场的形式和强度而显著变化，但与Monte Carlo算法的更新方案无关。从粗糙度指数$ζ, ζ_{loc}$和$ζ_s$可以判断随机场伊辛模型的脱钉跃迁属于新的动力学普适类，具有$ζ\neq ζ_{loc}\neq ζ_s$和$ζ_{loc} \neq 1$。对于均匀分布的随机场，观察到从二阶相变到一阶相变的交叉，但是对于高斯分布，不存在交叉。
英文摘要：
With Monte Carlo methods, we investigate the universality class of the depinning transition in the two-dimensional Ising model with quenched random fields. Based on the short-time dynamic approach, we accurately determine the depinning transition field and both static and dynamic critical exponents. The critical exponents vary significantly with the form and strength of the random fields, but exhibit independence on the updating schemes of the Monte Carlo algorithm. From the roughness exponents $ζ, ζ_{loc}$ and $ζ_s$, one may judge that the depinning transition of the random-field Ising model belongs to the new dynamic universality class with $ζ\neq ζ_{loc}\neq ζ_s$ and $ζ_{loc} \neq 1$. The crossover from the second-order phase transition to the first-order one is observed for the uniform distribution of the random fields, but it is not present for the Gaussian distribution.
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