Path-ensemble averages in systems driven far from equilibrium
Path-ensemble averages in systems driven far from equilibrium
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DOI：
10.1103/physreve.61.2361
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发表时间：
2000-03-01
影响因子：
2.4
通讯作者：
Crooks, GE
中科院分区：
文献类型：
--
作者：
Crooks, GE
Kawasaki非线性响应关系、瞬时涨落定理和Jarzynski非平衡功关系都是描述受外部扰动从平衡状态驱动的系统行为的表达式。与线性响应理论相比，无论扰动的强度有多大，或者系统偏离平衡有多远，这些表达式都是精确的。在这篇文章中，我证明了这三个关系(以及其他几个密切相关的结果)都可以被认为是单个定理的特例。对于离散的时间和空间的马尔可夫动力学，在附加的假设下，未受扰动的动力学保持适当的平衡系综且系统的能量保持有限，该表达式被显式地推导出来。
The Kawasaki nonlinear response relation, the transient fluctuation theorem, and the Jarzynski nonequilibrium work relation are all expressions that describe the behavior of a system that has been driven from equilibrium by an external perturbation. In contrast to linear response theory, these expressions are exact no matter the strength of the perturbation, or how far the system has been driven away from equilibrium. In this paper, I show that these three relations (and several other closely related results) can all be considered special cases of a single theorem. This expression is explicitly derived for discrete time and space Markovian dynamics, with the additional assumptions that the unperturbed dynamics preserve the appropriate equilibrium ensemble, and that the energy of the system remains finite.