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has been cited by the following article:

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

  AUTHORS: Lorenzo Zaninetti

  KEYWORDS: 05.20.-y Classical Statistical Mechanics, 05.20.Dd Kinetic Theory

  JOURNAL NAME: International Journal of Astronomy and Astrophysics, Vol.10 No.3, August 19, 2020

  ABSTRACT: 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.