Gibbsian theory of power-law distributions
Gibbsian theory of power-law distributions
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DOI：
10.1103/physrevlett.100.155005
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发表时间：
2008-04-18
影响因子：
8.6
通讯作者：
Jaroschek, C. H.
中科院分区：
文献类型：
--
作者：
Treumann, R. A.;Jaroschek, C. H.
结果表明，幂律相空间分布描述了远离热平衡的边缘稳定吉本平衡，这种平衡预计会发生在包含完全发展的准平稳湍流的无碰撞等离子体中。在基础上将吉本理论扩展到统计相关的子系统，并引入“排序参数”kappa。利用超加性（非泛化）熵导出了熵和配分函数的特殊形式，并给出了这类系统中温度的重新定义。
It is shown that power-law phase space distributions describe marginally stable Gibbsian equilibria far from thermal equilibrium, which are expected to occur in collisionless plasmas containing fully developed quasistationary turbulence. Gibbsian theory is extended on the fundamental level to statistically dependent subsystems introducing an "ordering parameter" kappa. Particular forms for the entropy and partition functions are derived with superadditive (nonextensive) entropy, and a redefinition of temperature in such systems is given.