New Probability Distributions in Astrophysics: III. The Truncated Maxwell-Boltzmann Distribution

• 作者: Lorenzo Zaninetti
• 来源期刊: 天文学与天体物理学国际期刊(英文)
• 学科: 数学
• 关键词: 05.20.-y Classical Statistical Mechanics 05.20.Dd Kinetic Theory
• 年，卷（期）: 2020,（3）
• 页码范围: 191-202
• 页数: 12页
• 分类号: O17

摘要

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: 1) a numerical relationship between root-mean-square speed and temperature, and 2) a modification of the formula for the Jeans escape flux of molecules from an atmosphere.