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

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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.