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Boltzmann equation for a dissociating gas

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Abstract

The incorporation of three-body collisions for dissociation/recombination into the Boltzmann equation is discussed. Conditions are assumed such that collisions are completed in the sense of scattering theory, so the collision operator is determined by scattering and reaction cross sections. The resulting equation has anH-theorem, and the equilibrium solution requires the law of mass action in addition to the Maxwellian dependence on momentum. A brief discussion is given of the normal solution and the transport coefficients.

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This paper is dedicated to Prof. E. G. D. Cohen on the occasion of his 65th birthday.

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McLennan, J.A. Boltzmann equation for a dissociating gas. J Stat Phys 57, 887–905 (1989). https://doi.org/10.1007/BF01022839

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