摘要翻译：
本文致力于构造非平衡马尔可夫系统的超统计描述。它是基于Kirchhoff图技术和假定系统具有多种消失概率通量的循环。后一个特性使我们能够引入称为通道的等价类，在这些通道中单独保持详细的平衡。然后将平稳概率和流量分布表示为通道上的一些和。后一种结构实际上形成了超统计描述，然而，它处理的是平衡子系统的某种叠加，而不是将非平衡稳态分布形式地展开为玻尔兹曼型。
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英文标题：
《Generalized superstatistics of nonequilibrium Markovian systems》
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作者：
Ihor Lubashevsky, Rudolf Friedrich, Andrey Ushakov, Andreas Heuer
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最新提交年份：
2007
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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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一级分类：Physics        物理学
二级分类：Disordered Systems and Neural Networks        无序系统与神经网络
分类描述：Glasses and spin glasses; properties of random, aperiodic and quasiperiodic systems; transport in disordered media; localization; phenomena mediated by defects and disorder; neural networks
眼镜和旋转眼镜；随机、非周期和准周期系统的性质；无序介质中的传输；本地化；由缺陷和无序介导的现象；神经网络
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英文摘要：
  The paper is devoted to the construction of the superstatistical description for nonequilibrium Markovian systems. It is based on Kirchhoff's diagram technique and the assumption on the system under consideration to possess a wide variety of cycles with vanishing probability fluxes. The latter feature enables us to introduce equivalence classes called channels within which detailed balance holds individually. Then stationary probability as well as flux distributions are represented as some sums over the channels. The latter construction actually forms the superstatistical description, which, however, deals with a certain superposition of equilibrium subsystems rather then is a formal expansion of the nonequilibrium steady state distribution into terms of the Boltzmann type.
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PDF链接：
https://arxiv.org/pdf/706.0829