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非广延统计力学与H定理。

Nonextensive thermostatistics and the H theorem.

作者信息

Lima J A, Silva R, Plastino A R

机构信息

Departamentode Fisica Teórica e Experimental, Universidade Federal do Rio Grande do Norte, Natal-RN, Brazil.

出版信息

Phys Rev Lett. 2001 Apr 2;86(14):2938-41. doi: 10.1103/PhysRevLett.86.2938.

DOI:10.1103/PhysRevLett.86.2938
PMID:11290077
Abstract

The kinetic foundations of Tsallis' nonextensive thermostatistics are investigated through Boltzmann's transport equation approach. Our analysis follows from a nonextensive generalization of the "molecular chaos hypothesis." For q>0, the q-transport equation satisfies an H theorem based on Tsallis entropy. It is also proved that the collisional equilibrium is given by Tsallis' q-nonextensive velocity distribution.

摘要

通过玻尔兹曼输运方程方法研究了Tsallis非广延统计力学的动力学基础。我们的分析源于“分子混沌假设”的非广延推广。对于q>0,q输运方程满足基于Tsallis熵的H定理。还证明了碰撞平衡由Tsallis的q非广延速度分布给出。

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