论文标题
相对论的麦克斯韦 - 朱斯特纳速度分布函数
The Relativistic Maxwell-Jüttner Velocity Distribution Function
论文作者
论文摘要
在本文中，相对论的麦克斯韦 - 朱斯特纳速度分布的表达是以详细且教学的方式推导的。将这种分布与众所周知的麦克斯韦 - 博尔兹曼分布进行了比较，该分布没有考虑到相对论的影响。在三种情况下进行了两种分布之间的应用和比较：i）在太阳表面温度下的质子，ii）在劳森标准温度下的电子，以及iii）质子的质子。已经发现，所考虑的粒子的其余质量与系统温度之间的比率值决定了对系统的速度分布函数的考虑或不是相对论处理的需求。
In this paper, the expression of the relativistic Maxwell-Jüttner velocity distribution was deduced in a detailed and didactic way. This distribution was compared with the well-known Maxwell-Boltzmann distribution, which does not take into account relativistic effects. Applications and comparisons between the two distributions were carried out in three situations: i) protons at solar surface temperature, ii) electrons at Lawson's criterion temperature, and iii) protons at quasar temperatures. It was found that the value of the ratio between the rest mass of the particle considered and the temperature of the system determines the need to consider or not a relativistic treatment for the velocity distribution function of the system.
