Scaling Limits for Gradient Systems in Random Environment
Scaling Limits for Gradient Systems in Random Environment
复制标题
随机环境中梯度系统的缩放限制
DOI：
10.1007/s10955-008-9509-z
复制
发表时间：
2007
影响因子：
1.6
通讯作者：
M. Jara
中科院分区：
文献类型：
--
作者：
P. Gonçalves;M. Jara
众所周知，满足梯度条件(如零程过程或对称简单排斥过程)的相互作用粒子系统的流体动力学极限由一个可能的非线性抛物方程给出，从该极限出发的平衡涨落由广义的Ornstein-Uhlenbeck过程给出.我们证明了在对称随机环境存在的情况下，这些标度极限也适用于几乎所有随机环境的选择，其均匀扩散系数不依赖于随机环境的实现.
It is well known that the hydrodynamic limit of an interacting particle system satisfying a gradient condition (such as the zero-range process or the symmetric simple exclusion process) is given by a possibly non-linear parabolic equation and the equilibrium fluctuations from this limit are given by a generalized Ornstein-Uhlenbeck process.We prove that in the presence of a symmetric random environment, these scaling limits also hold for almost every choice of the random environment, with an homogenized diffusion coefficient that does not depend on the realization of the random environment.