显式协变经典相关动力学II。迁移方程与Hakim平衡猜想
Manifestly covariant classical correlation dynamics II. Transport equations and Hakim equilibrium conjecture
摘要:
这是狭义相对论经典统计力学系列论文的第二篇。利用第一篇论文中发展的一般理论,我们严格地导出了相对论性的弗拉索夫、朗道和玻尔兹曼方程。后两者主张将J{ü}ttner分布作为均衡分布。因此,我们在全微观水平上为最近的数值发现提供了支持[D. Cubero { \it et. al.},物理修订信函\textbf{99},170601(2007)]的麦克斯韦-玻尔兹曼分布的特殊相对论推广。此外,本理论还允许我们严格计算相对论多体平衡下的各种关联函数。因此,哈基姆的相对论多体平衡猜想是合理的。
英文摘要:
This is the second of a series of papers on the special relativistic classical statistical mechanics. Employing the general theory developed in the first paper we rigorously derive the relativistic Vlasov, Landau and Boltzmann equation. The latter two advocate the J{ü}ttner distribution as the equilibrium distribution. We thus, at the full microscopic level, provide a support for the recent numerical finding [D. Cubero {\it et. al.}, Phys. Rev. Lett. \textbf{99}, 170601 (2007)] of the special relativistic generalization of the Maxwell-Boltzmann distribution. Furthermore, the present theory allows us to rigorously calculate various correlation functions at the relativistic many-body equilibrium. Therefore, the relativistic many-body equilibrium conjecture of Hakim is justified.
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