论文标题
基于温度相关的非平衡稳态分类
A classification of nonequilibrium steady states based on temperature correlations
论文作者
论文摘要
尽管现在已经在统计力学中使用了广义的合奏数十年，包括诸如Tsallis的非Xtalgision统计和超级巨星等框架，但仍缺乏这些广义合奏的分类，概述了不同模型家族有效性的界限，但仍缺乏。在这项工作中，根据新定义的参数（反向温度协方差参数$ \ MATHCAL {u} $）提出了这样的分类。该参数在超级巨星中是非负的（并且等于反向温度的方差），但对于其他统计集合的家族来说可能是负面的，比较广泛的含义呈现。结果表明，对于稳定状态下的复合系统的每个区域，$ \ Mathcal {U} $都是相等的，并给出了超卫生和亚月底状态的示例。
Although generalized ensembles have now been in use in statistical mechanics for decades, including frameworks such as Tsallis' nonextensive statistics and superstatistics, a classification of these generalized ensembles outlining the boundaries of validity of different families of models, is still lacking. In this work, such a classification is proposed in terms of supercanonical and subcanonical ensembles, according to a newly defined parameter, the inverse temperature covariance parameter $\mathcal{U}$. This parameter is non-negative in superstatistics (and is equal to the variance of the inverse temperature) but can be negative for other families of statistical ensembles, adquiring then a broader meaning. It is shown that $\mathcal{U}$ is equal for every region of a composite system in a steady state, and examples are given of supercanonical and subcanonical states.
