Exact Forms of Representation of Boltzmann Collision Integral as a Divergence of the Flow in Velocity Space

Vladimir L. Saveliev

2005

DOI 10.1063/1.1941523

Data confidence 70 medium

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Abstract

On the basis of a recently discovered collision group, new exact renormalized forms of the Boltzmann equation are obtained. Boltzmann collision integral is rewritten exactly as a divergence of the flow in velocity space. This allows to consider the distribution function as a density of the points in the phase space moving along smooth trajectories under the influence of a nonlocal force. The points do not jump any more as it was in the case of the classical Boltzmann equation. It is shown that near the equilibrium the Boltzmann collision integral universally tends to the Landau‐Fokker‐Plank collision integral.