摘要翻译：
对于不在热力学极限的系统，利用Hill纳米热力学建立了熵产，其中考虑了这类系统的宏观系综。利用基于Jarzynsky等式的显式公式，将环境对平均纳米系统的外部影响与不可逆功联系起来。熵产生保持其通常形式为通量和力的乘积之和，如果Onsager对称原理对宏观系综有效，则通过两种方法证明它对平均纳米系统成立。第一个提供了将两个系统的系数联系起来的表达式。第二种方法给出了系统在外力作用下保持Onsager对称性的一般条件。
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英文标题：
《Non-equilibrium nanothermodynamics》
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作者：
J. Carrete, L. M. Varela and L. J. Gallego
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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：
  Entropy production for a system not in the thermodynamic limit is formulated using Hill's nanothermodynamics, in which a macroscopic ensemble of such systems is considered. External influence of the environment on the average nanosystem is connected to irreversible work with an explicit formula based on Jarzynsky equality. Entropy production retains its usual form as a sum of products of fluxes and forces and Onsager's symmetry principle is proven to hold for the average nanosystem if it is valid for the macroscopic ensemble, by two methods. The first one provides expressions that relate the coefficients of the two systems. The second gives a general condition for a system under a external force to preserve Onsager's symmetry.
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PDF链接：
https://arxiv.org/pdf/710.4771