On the inequality of partial temperatures of a homogeneous gas mixture in the thermodynamic equilibrium state
type: Item
instance of: scholarly article
title: On the inequality of partial temperatures of a homogeneous gas mixture in the thermodynamic equilibrium state
zbMATH Open document ID: 1242.82020
author: Yu. M. Loskutov
published in: Journal of Mathematical Sciences (New York)
publication date: 2011-07-18T00:00:00Z
review text: A modified definition of the state of thermodynamic equilibrium of a homogeneous multicomponent gas mixture is given. Application of rigorous mathematical methods which adequately describe the discrete character of collisions leads to a qualitatively new structure of the distribution functions and unexpected physical consequences. The general solution for distribution functions of a homogeneous multicomponent mixture of free gases in thermodynamic equilibrium predicts different partial temperatures of different components. The ratios of partial temperatures to the mean temperature of the mixture depend on the molecular weights and concentrations of the components. The effect of inequality of partial temperatures is caused by the inequality of the probabilities of head-on and head-tail collisions.
Mathematics Subject Classification ID: 82B40
Mathematics Subject Classification ID: 82C40
Mathematics Subject Classification ID: 74A40
Mathematics Subject Classification ID: 80A17
zbMATH DE Number: 5924746
zbMATH Keywords: kinetic equations
zbMATH Keywords: thermodynamic equilibrium
zbMATH Keywords: distribution functions
zbMATH Keywords: multi-component mixture
reviewed by: Dan Polisevski
MaRDI profile type: Publication
full work available at URL: s10958-011-0224-y
OpenAlex ID: W2070503627
cites work: Q4329424
cites work: Q5842076
cites work: Q5340540
cites work: Q3848758
DOI: 10.1007/S10958-011-0224-Y
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description: scientific article; zbMATH DE number 5924746