Abstract
The Lorentz gas approximation to the Boltzmann collision operator is generalized to the case of the heavy-molecule gas distribution function being non-Maxwellian; results are obtained to first order in the mass ratio, but can easily be generalized to higher orders. The equilibrium distribution for the light-molecule gas is then found. The results are applicable to any light-molecule trace gas in a heavy-molecule non-Maxwellian bath gas, and, in particular, to a slightly ionized gas.
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