关于状态分立系统的改进的Metropolis方法
AN IMPROVED METROPOLIS APPROACH TO THE DISCRETE-STATE SYSTEM
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摘要: 对状态分立系统的平衡态统计问题给出了一个改进的Metropolis方法,并在伊辛模型上与传统方法进行了对比,得到了一致的结果,效率提高了约25%.针对伊辛模型的抽样过程给出了其马尔科夫过程所对应的Master方程.将所提出的方法应用于伊辛模型,相当于对其Master方程进行了模拟.作为推广,一大类临界动力学模型的Master方程都可以用本方法进行模拟,以用于其暂态过程的研究.Abstract: An improved Metropolis approach is proposed especially to solve the equilibrium problem of a discrete-state system, used to deal with the Ising model and proven to be well consistent with the traditional Metropolis method. But it's more efficient as it reduces 25 percent of the simulating time. Especially for the Ising model, the Master equation is generalized in the simulation. This kind of Master equation of critical kinetics and its' transient phenomena can effectively be studied by using the modified Metropolis method presented here.