随机环境中梯度系统的标度极限
Scaling limits for gradient systems in random environment
摘要:
对于满足梯度条件的相互作用粒子系统,流体动力学极限和平衡涨落是众所周知的。我们证明,在对称随机环境的存在下,这些缩放限制也适用于几乎每一个选择的环境,均匀化系数,不依赖于特定的实现的随机环境。
英文摘要:
For interacting particle systems that satisfies the gradient condition, the hydrodynamic limit and the equilibrium fluctuations are well known. We prove that under the presence of a symmetric random environment, these scaling limits also hold for almost every choice of the environment, with homogenized coefficients that does not depend on the particular realization of the random environment.
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