WIAS Preprint No. 661, (2001)

Some new properties of the kinetic equation for the consistent Boltzmann algorithm


  • Garcia, Alejandro L.
  • Wagner, Wolfgang

2010 Mathematics Subject Classification

  • 65C05 82C40 76P05


  • Kinetic theory, direct simulation Monte Carlo, consistent Boltzmann algorithm, dense gases, H-theorem




We study properties of the consistent Boltzmann algorithm for dense gases, using its limiting kinetic equation. First we derive an H-theorem for this equation. Then, following the classical derivation by Chapman and Cowling, we find approximations to the equations of continuity, momentum and energy. The first order correction terms with respect to the particle diameter turn out to be the same as for the Enskog equation. These results confirm previous derivations, based on the virial, of the corresponding equation of state.

Appeared in

  • Transport Theory Statist. Phys. 31, (2002), pp. 579-594

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