用PCA求解平衡和非平衡伊辛模型
Equilibrium and non-equilibrium Ising models by means of PCA
摘要：
我们提出了一个统一的方法，可逆和不可逆的PCA动力学，我们表明，在一维和二维最近邻伊辛系统的情况下，周期性的边界条件，我们能够计算的静态措施的动态也当后者是不可逆的。我们还展示了如何，根据[DPSS12]，固定措施是非常接近吉布斯的PCA动力学的参数的适当选择，无论是在可逆的和不可逆的情况下。我们讨论了一些关于这个主题的数值方面，包括一个可能的并行实现。
英文摘要：
We propose a unified approach to reversible and irreversible PCA dynamics, and we show that in the case of 1D and 2D nearest neighbour Ising systems with periodic boundary conditions we are able to compute the stationary measure of the dynamics also when the latter is irreversible. We also show how, according to [DPSS12], the stationary measure is very close to the Gibbs for a suitable choice of the parameters of the PCA dynamics, both in the reversible and in the irreversible cases. We discuss some numerical aspects regarding this topic, including a possible parallel implementation.
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