Clustering instability in dissipative gases

Details Clustering instability in dissipative gases Clustering instability in dissipative gases

Mar 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993phrvl..70.1619g&link_type=abstract

Physical Review Letters (ISSN 0031-9007), vol. 70, no. 11, p. 1619-1622.

Physics

Condensed Matter

Statistical Mechanics

429

Energy Dissipation, Inelastic Collisions, Particle Collisions, Maxwell Equation, Statistical Mechanics, Kinetic Theory, Particle-Laden Flows, Other Topics In Mechanical And Acoustical Properties Of Condensed Matter

Scientific paper

It is shown that a gas composed of inelastically colliding particles is unstable to the formation of high density clusters. A possible physical mechanism underlying this instability is proposed. A theoretical analysis, based on the Jenkins-Richman equations, as well as a numerical simulation of the dynamics of an unforced system of hard disks in a periodic rectangular enclosure, renders support to the proposed mechanism. In particular, a simple formula for the characteristic intercluster distance is derived and found to be in agreement with the numerical results. Applications to granular systems of engineering interest as well as to astrophysics are briefly outlined.

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