Fluctuations of one dimensional Ginzburg-Landau models in nonequilibrium
Fluctuations of one dimensional Ginzburg-Landau models in nonequilibrium
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DOI：
10.1007/bf02099137
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发表时间：
1992-04
影响因子：
2.4
通讯作者：
Chih-Chung Chang;H. Yau
中科院分区：
文献类型：
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作者：
Chih-Chung Chang;H. Yau
研究了非平衡态下一维Ginzburg-Landau模型沿着流体动力学（扩散）极限的涨落。Fritz，Guo-Papanicolaou-Varadhan等人已经证明了流体动力学极限是一个非线性扩散方程。我们证明了如果势是一致凸的，则波动过程是由一个Ornstein-Uhlenbeck过程控制的，其漂移项是通过形式线性化流体动力学方程得到的。
We study the fluctuation of one dimensional Ginzburg-Landau models in nonequilibrium along the hydrodynamic (diffusion) limit. The hydrodynamic limit has been proved to be a nonlinear diffusion equation by Fritz, Guo-Papanicolaou-Varadhan, etc. We proved that if the potential is uniformly convex then the fluctuation process is governed by an Ornstein-Uhlenbeck process whose drift term is obtained by formally linearizing the hydrodynamic equation.