论文标题

天体物理学中的新概率分布:iii。截断的麦克斯韦·博尔茨曼分布

New probability distributions in astrophysics: III. The truncated Maxwell-Boltzmann distribution

论文作者

Zaninetti, Lorenzo

论文摘要

理想气体中速度的Maxwell-Boltzmann(MB)分布通常在零和无穷大之间定义。此处引入了双截断的MB分布,并评估了概率密度函数,分布函数,平均值,关于原点的第三矩,根平方速度和方差。提出了两种应用:(i)根平方速度和温度之间存在数值关系,以及(ii)修改牛仔裤的公式从大气中逃脱了分子的通量。

The Maxwell-Boltzmann (MB) distribution for velocities in ideal gases is usually defined between zero and infinity. A double truncated MB distribution is here introduced and the probability density function, the distribution function, the average value, the rth moment about the origin, the root-mean-square speed and the variance are evaluated. Two applications are presented: (i) a numerical relationship between root-mean-square speed and temperature, and (ii) a modification of the formula for the Jeans escape flux of molecules from an atmosphere.

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