论文标题
带电相对论的理想玻尔兹曼气体的热力学
Thermodynamics of a charged relativistic ideal Boltzmann gas
论文作者
论文摘要
本文在平坦的时空中介绍了一个带电相对论的经典气体的玩具模型，该模型的任意数量的尺寸配备了一些``配对生产''机制。与微型典型合奏一起工作，与``粒子''加上``反粒子''的总数相比保守了，后者随温度$ t $而变化。经典气体的热力学在非层次主义（$ mc^{2} \ gg kt $）以及超级层次（$ mc^{2} \ ll kt $）方案中进行了详细研究。结果表明，尽管我们正在处理经典分布，但在超级层次的制度下，气体的行为是普朗克。我们还将玩具模型的热力学与量子气体的热力学进行了比较。
This paper presents a toy model of a charged relativistic classical gas in flat spacetime of an arbitrary number of dimensions equipped with some ``pair production'' mechanism. Working with the microcanonical ensemble, the charge is taken to be conserved in contrast with the total number of ``particles'' plus ``antiparticles'' which varies with temperature $T$. Thermodynamics of the classical gas is detailed studied in the nonrelativistic ($Mc^{2}\gg kT$) as well as in the ultrarelativistic ($Mc^{2}\ll kT$) regimes. It is shown that, although we are dealing with classical distributions, at the ultrarelativistic regime the behavior of the gas is Planckian. We also compare the thermodynamics of the toy model with that of quantum gases.
