Lima J A, Silva R, Plastino A R
Departamentode Fisica Teórica e Experimental, Universidade Federal do Rio Grande do Norte, Natal-RN, Brazil.
Phys Rev Lett. 2001 Apr 2;86(14):2938-41. doi: 10.1103/PhysRevLett.86.2938.
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.
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。