Diffusive limit of lattice gas with mixing conditions
Diffusive limit of lattice gas with mixing conditions
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混合条件下晶格气体的扩散极限
DOI：
10.4310/ajm.1997.v1.n4.a1
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发表时间：
1997
影响因子：
0.6
通讯作者：
H. Yau
中科院分区：
文献类型：
--
作者：
S. Varadhan;H. Yau
在一定的混合条件下，证明了随机点阵气体在立方点阵Z上的水动力极限是由非线性扩散方程控制的。根据[VI]，我们用变分公式来表征扩散系数，该变分公式等价于Green-Kubo公式。严格建立涨落耗散方程是证明的重要步骤。我们的混合条件是由Dobrushin-Shlosman混合条件所隐含的，该混合条件在高温下总是有效的。
We prove, under certain mixing conditions, that the hydrodynamical limit of a stochastic lattice gas on the cubic lattice Z is governed by a nonlinear diffusion equation. Following [VI], we characterize the diffusion coefficient by a variational formula, which is equivalent to the Green-Kubo formula. The fluctuation-dissipation equation is established rigorously as an important step of the proof. Our mixing conditions are implied by the Dobrushin-Shlosman mixing conditions which are always valid at high temperatures.
相互作用的布朗粒子的零温度限制，II._一维凝固。
DOI：
--
发表时间：
2004
期刊：
Ann. Probab. 32
影响因子：
--
作者：
Hiromitsu Suetani;Takehiko Horita;Shin Mizutani;T.Funaki
通讯作者：
T.Funaki