Evolution of Reduced Distribution Functions. IV. Momentum Moments of the One‐Body Function

TLDR: In this article, the Fourier-Laplace transformed kinetic equation is applied numerically to the study of the relaxation to equilibrium of a system of hard spheres, and the time dependence of the first few momentum moments is computed using a numerical Laplace transform inversion procedure.

Abstract: The solution to a Fourier–Laplace transformed kinetic equation is applied numerically to the study of the relaxation to equilibrium of a system of hard spheres. Two different initial distribution functions are considered, and their evolution is studied by computing the time dependence of the first few momentum moments, using a numerical Laplace transform inversion procedure. Physically meaningful results are obtained in for densities less than about 15% of closest packing, where a fast induction period and a slower exponential relaxation are found.