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Abstract
A new form of the collision operator for a Boltzmann gas of hard spheres and Coulombplasma is proposed. One-component and many-component systems are considered. Theproposed collision operator properly takes into account the relaxation of the first 13hydrodynamic moments. Besides this, it accounts for the non-diagonal componentcontribution in the quadratic approximation in the expansion of the linearized collisionoperator with respect to the complete system of Hermite polynomials. It is shown thatfor a system of charged particles with the Coulomb interaction potential, thesecontributions are essential and lead to Spitzer corrections to the transport coefficients. Anexpression for the intensity of the Langevin source in the kinetic equation is obtainedin the same approximation. A new form of the model collision operator for aBoltzmann gas of hard spheres is proposed. For a many-component system we havereconstructed a non-linear model collision integral by using the linearized collisionintegral found. Unlike previous ones, it does not contain complicated exponentialdependence and avoids coefficient ambiguity in the many-component collision integral.
Published Version
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