Journal of Applied Mathematics and Statistical Applications

The H-theorem and equation of state for kinetic model of imperfect gas

3^rd International Conference on Applied Physics
August 23-24, 2018 | London, UK

Alexander Bishaev

MIPT Russian Federation, Russia

Posters & Accepted Abstracts : J Appl Math Stat App

Abstract:

For molecules interacting among each other with the potential having both repulsive and attractive components, a system of kinetic equations is derived using the Bogolyubov method, which takes into account the effect of forming bound states by molecules. This system implies all conservation laws and their corollaries that are invariant under the Galilean transformation. With consideration of the relaxation problem for the given system of kinetic equations, the H-theorem can be obtained. It is noted that the equation of state, which is derived in this case, coincides in form with the van der Waals equation of state.

Biography:

E-mail:

bishaev@bk.ru

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