A Central Limit Theorem for the Weakly Asymmetric Simple Exclusion Process
A Central Limit Theorem for the Weakly Asymmetric Simple Exclusion Process
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DOI：
10.1002/mana.19911510107
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发表时间：
1991
影响因子：
1
通讯作者：
P. Dittrich;J. Gärtner
中科院分区：
文献类型：
--
作者：
P. Dittrich;J. Gärtner
考虑一维弱不对称近邻不相容过程，在宏观时空坐标下，研究了具有黏性的非线性BURGERS方程解周围相关密度场的涨落。我们证明了这种波动收敛于广义的ORNSTEIN-UHLENBECK过程，该过程的漂移项可以通过对BURGERS方程的线性化得到。我们的方法是基于不相容过程的非线性变换。
We consider the one-dimensional weakly asymmetric nearest neighbour exclusion process and study, in macroscopic space-time coordinates, the fluctuations of the associated density field around the solution of the nonlinear BURGERS equation with viscosity. We show that this fluctuations converge to a generalized ORNSTEIN-UHLENBECK process, the drift term of which can be obtained by linearization of the BURGERS equation. Our approach is based on a nonlinear transformation of the exclusion process.