FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2009, VOLUME 15, NUMBER 6, PAGES 63-75

**On the inequality of partial temperatures of a homogeneous gas
mixture in thermodynamical equilibrium state**

Yu. M. Loskutov

Abstract

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A modified definition of the state of thermodynamical
equilibrium of a homogeneous multicomponent gas mixture is given.
It is based on the discrete character of collisions but not on the
smoothed by multiple collisions dynamical structure with the physical
determination of the kinetic time $dt$.
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.
It is shown that owing to the inequality of head-on and head-tail
collisions of particles, partial temperatures of a homogeneous
multicomponent gas mixture in thermodynamical equilibrium cannot be
equal to each other.
It is found that relations of the partial temperatures to the mixture
temperature are dependent on the molecular weights and concentrations
of the gas components.

Location: http://mech.math.msu.su/~fpm/eng/k09/k096/k09606h.htm

Last modified: October 13, 2010