论文标题
Tsallis遇到了Boltzmann：有限理想气体及其热力学极限的Q索引
Tsallis meets Boltzmann: q-index for a finite ideal gas and its thermodynamic limit
论文作者
论文摘要
非addive tsallis $ q $统计量已成功地用于自然科学和其他知识分支中的众多系统。然而，一些作者基于标准的添加剂玻尔兹曼·吉布斯（Boltzmann-Gibbs）的方法对其基础受到严重批评，从而仍然是一个非常有争议的主题。为了阐明某些辩论概念，分析确定具有有限点粒子及其$ Q $索引的理想气体的分布函数。也得出了两个粒子相关函数。相关程度与颗粒数量的生长不断减少。理想的有限气体系统通常相关，当颗粒数量生长时，相关性较小，并且当达到分子混乱状态时，最终完全不相关。还提倡通过仔细的动力学光谱实验来面对两种方法。此处得出的分析结果表明，Tsallis Q-Statistics可能起着比文献中通常讨论的更基本作用。
Nonadditive Tsallis $q$-statistics has successfully been applied for a plethora of systems in natural sciences and other branches of knowledge. Nevertheless, its foundations have been severely criticised by some authors based on the standard additive Boltzmann-Gibbs approach thereby remaining a quite controversial subject. In order to clarify some polemical concepts, the distribution function for an ideal gas with a finite number of point particles and its $q$-index are analytically determined. The two-particle correlation function is also derived. The degree of correlation diminishes continuously with the growth of the number of particles. The ideal finite gas system is usually correlated, becomes less correlated when the number of particles grows, and is finally, fully uncorrelated when the molecular chaos regime is reached. It is also advocated that both approaches can be confronted through a careful kinetic spectroscopic experiment. The analytical results derived here suggest that Tsallis q-statistics may play a physical role more fundamental than usually discussed in the literature.
