Zero-temperature limit of the Kawasaki dynamics for the Ising lattice gas in a large two-dimensional torus
Zero-temperature limit of the Kawasaki dynamics for the Ising lattice gas in a large two-dimensional torus
复制标题
大型二维环面中伊辛晶格气体川崎动力学的零温度极限
DOI：
10.1214/14-aop930
复制
发表时间：
2013
影响因子：
2.3
通讯作者：
C. Landim
中科院分区：
文献类型：
--
作者：
B. Gois;C. Landim
本文研究了二维正方形（2L+1）上Ising晶格气在温度β为负值时的川崎动力学.我们假设粒子最初形成一个长度为n的正方形，它可以随着β的增加而增加，L也是如此。我们表明，在适当的时间尺度的粒子形式几乎总是一个正方形和广场的质量中心的布朗运动时，温度为零。
We consider the Kawasaki dynamics at inverse temperature β for the Ising lattice gas on a two-dimensional square of length 2L+1 with periodic boundary conditions. We assume that initially the particles form a square of length n, which may increase, as well as L, with β. We show that in a proper time scale the particles form almost always a square and that the center of mass of the square evolves as a Brownian motion when the temperature vanishes.