Generalizations of statistical mechanics such as Tsallis statistics and superstatistics, among others, describe the occurrence of power-law distributions in long-range interacting systems and complex systems in diverse areas, particularly the so-called $q$-exponential family of distributions. In this work we present the use of fluctuation theorems for $q$-canonical ensembles as a powerful tool to readily obtain statistical properties. In particular, we have obtained strong conditions for the possible values of $q$ depending on the density of states of the system.

中文翻译：

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波动定理 $q$-规范合奏

统计力学（例如Tsallis统计和超统计）等的概括描述了远程交互系统和复杂系统在不同区域中的幂律分布的发生，特别是所谓的 $q$-指数分布族。在这项工作中，我们提出了波动定理的使用$q$-规范合奏是一种很容易获得统计属性的强大工具。特别是，我们已经为的可能值获得了强大的条件$q$ 取决于系统状态的密度。