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On the evolution of the empirical measure for the Hard-Sphere dynamics

We prove that the evolution of marginals associated to the empirical measure of a finite system of hard spheres is driven by the BBGKY hierarchical expansion. The usual hierarchy of equations for $L^1$ measures is obtained as a corollary. We discuss the ambiguities arising in the corresponding notion of microscopic series solution to the Boltzmann-Enskog equation.

preprint2015arXivOpen access
Mario PulvirentiSergio Simonella
cond-mat.stat-mechmath-phmath.MP
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Mario PulvirentiSergio Simonella

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