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Exact results for the homogeneous cooling state of an inelastic hard-sphere gas

Published online by Cambridge University Press:  01 June 1998

L. BRENIG  and
J. M. SALAZAR
L. BRENIG
Affiliation:
Service de Physique Statistique, Plasmas et Optique Non Linéaire, Université Libre de Bruxelles, Campus Plaine CP231, Boulevard du Triomphe, B-1050 Bruxelles, Belgium
J. M. SALAZAR
Affiliation:
Laboratoire de Recherches sur la Réactivité des Solides Université de Bourgogne, BP 400, 21011 Dijon, France
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Abstract

The infinite set of moments of the two-particle distribution function is found exactly for the uniform cooling state of a hard-sphere gas with inelastic collisions. Their form shows that velocity correlations cannot be neglected, and consequently the ‘molecular chaos’ hypothesis leading to the inelastic Boltzmann and Enskog kinetic equations must be questioned.

Type
Research Article
Information
Journal of Plasma Physics , Volume 59 , Issue 4 , June 1998 , pp. 639 - 646
Copyright
© 1998 Cambridge University Press

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