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摘要翻译：
本文研究了耦合于空间扩展热库的测试系统的两个非平衡功涨落定理，即Crooks定理和Jarzynski等式，该系统的自由度是显式建模的。详细讨论了定理成立的充分条件，并与经典哈密顿动力学的情形进行了比较。当满足条件时，尽管在不可逆过程中测试系统的近邻失去平衡，涨落定理仍然成立。我们还研究了与热库的耦合对$<\exp(-\betaw)>$收敛到其理论平均值的影响，其中$W$是在测试系统上所做的功，$\beta$是逆温度。结果表明，局部加热越大，收敛速度越慢。
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英文标题：
《Non-equilibrium fluctuation theorems in the presence of local heating》
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作者：
Punyabrata Pradhan, Yariv Kafri, and Dov Levine
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最新提交年份：
2008
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分类信息：
一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
We study two non-equilibrium work fluctuation theorems, the Crooks' theorem and the Jarzynski equality, for a test system coupled to a spatially extended heat reservoir whose degrees of freedom are explicitly modeled. The sufficient conditions for the validity of the theorems are discussed in detail and compared to the case of classical Hamiltonian dynamics. When the conditions are met the fluctuation theorems are shown to hold despite the fact that the immediate vicinity of the test system goes out of equilibrium during an irreversible process. We also study the effect of the coupling to the heat reservoir on the convergence of $<\exp(-\beta W)>$ to its theoretical mean value, where $W$ is the work done on the test system and $\beta$ is the inverse temperature. It is shown that the larger the local heating, the slower the convergence.
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PDF链接：
https://arxiv.org/pdf/712.0339
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