AMERICAN JOURNAL OF PHYSICS, vol.75, no.1, pp.62-66, 2007 (SCI-Expanded)
A probabilistic analysis of the direct simulation of a homogeneous gas is given. A hierarchy of equations similar to the BBGKY hierarchy for the reduced probability densities is derived. By invoking the molecular chaos assumption, an equation similar to the Boltzmann equation for the single particle probability density and the corresponding H-theorem is derived. (C) 2007 American Association of Physics Teachers.