Statistical mechanical theory for steady state systems. II. Reciprocal relations and the second entropy.
Statistical mechanical theory for steady state systems. II. Reciprocal relations and the second entropy.
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稳态系统的统计力学理论。
DOI：
10.1063/1.1873572
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发表时间：
2005
期刊：
影响因子：
--
通讯作者：
P. Attard
中科院分区：
文献类型：
--
作者：
P. Attard
对于宏观态之间的动态跃迁，引入了二次熵的概念。它被用来发展速度涨落的理论，并以推导布朗运动的Onsager互易关系为例。依次讨论了自由布朗粒子、受驱动布朗粒子和钉扎布朗粒子的情况，并导出了斯托克斯定律。将二次熵分析应用于热力学涨落的一般情况，并用该方法导出了它们的Onsager倒易关系。从分析中得出了输运系数的格林-久保公式，朗之万动力学也是如此。
The concept of second entropy is introduced for the dynamic transitions between macrostates. It is used to develop a theory for fluctuations in velocity, and is exemplified by deriving Onsager reciprocal relations for Brownian motion. The cases of free, driven, and pinned Brownian particles are treated in turn, and Stokes' law is derived. The second entropy analysis is applied to the general case of thermodynamic fluctuations, and the Onsager reciprocal relations for these are derived using the method. The Green-Kubo formulas for the transport coefficients emerge from the analysis, as do Langevin dynamics.