Abstract:
Linearized model collision operators that correctly describe the relaxation of the
first 13 hydrodynamic moments in single-component systems are derived. For
particles with Coulomb interaction potential, the calculations are made in the
second Chapman–Enskog approximation. An expression for the intensity of the
Langevin source in the kinetic equation is obtained in the same approximation.
The Landau–Lifshitz formula is generalized to non-Markov processes. A new
form of model collision operator for the particles of a Boltzmann gas of hard
spheres is proposed.