Work relations for time-dependent states

Work relations for time-dependent states
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依赖时间的国家的工作关系

DOI：
10.1103/physreve.87.022109
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发表时间：
2013
期刊：
Phys. Rev. E
影响因子：
--
通讯作者：
Naoko Nakagawa and Shin-ichi Sasa
Naoko Nakagawa and Shin-ichi Sasa
中科院分区：
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文献类型：
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作者：
M. Miyasita;K. Higuchi and M. Higuchi;Y. Matsuo and S. Abe;Naoko Nakagawa and Shin-ichi Sasa

文献摘要

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对于由外部操作产生的时变态，广义自由能可以由相对熵引入，相对于从时变态充分松弛后实现的平衡态。最近，通过研究过阻尼系统，Sivak和Crooks提出了一个将广义自由能与可测量的热力学功联系起来的公式。我们重新推导了这个关系，强调了它与在稳态热力学框架中提出的扩展克劳修斯关系的联系。作为一个自然的结果，我们将这个关系推广到具有动量自由度的系统，其中广义自由能中的香农熵被对称熵所取代。
For time-dependent states generated by an external operation, a generalized free energy may be introduced by the relative entropy with respect to an equilibrium state realized after sufficient relaxation from the time-dependent states. Recently, by studying overdamped systems, Sivak and Crooks presented a formula that relates the generalized free energy with measurable thermodynamic works. We rederive this relation with emphasizing a connection to an extended Clausius relation proposed in the framework of steady state thermodynamics. As a natural consequence, we generalize this relation to be valid for systems with momentum degrees of freedom, where the Shannon entropy in the generalized free energy is replaced by a symmetric one.