广义朗之万方程

R. Henery
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引用次数: 11

摘要

简单的朗之万方程描述了一个马尔可夫和高斯的过程。朗之万方程的推广允许我们处理n维高斯-马尔可夫过程的投影过程。在假定第二涨落耗散定理成立的情况下,结果形式上等价于Kubo在1966年提出的推广。一般地讨论了液体中的分子运动,并得出结论,这些朗之万方程的推广不太可能成功。
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The generalized Langevin equation
The simple Langevin equation describes a process which is both Markovian and Gaussian. A generalization of the Langevin equation allows us to deal with processes which are projections of n-dimensional Gaussian- Markov processes. The results are formally equivalent to generalizations proposed by Kubo in 1966 provided the second fluctuation-dissipation theorem is assumed true. Molecular motion in liquids is discussed in general terms and it is concluded that these generalizations of the Langevin equation are not likely to be successful.
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