Granular clustering self-consistent analysis for general coefficients of restitution

Details Granular clustering self-consistent analysis for general coefficients of restitution Granular clustering self-consistent analysis for general coefficients of restitution

2006-05-16

arxiv.org/abs/cond-mat/0605422v1

Physical Review E vol 73, 051303 (2006)

Physics

Condensed Matter

Statistical Mechanics

4 figures

Scientific paper

10.1103/PhysRevE.73.051303

We study the equilibrium behavior of one-dimensional granular clusters and one-particle granular gases for a variety of velocity dependent coefficients of restitution $r$. We obtain equations describing of the long time behavior for the cluster's pressure, r.m.s. velocity and granular inter-spacing. We show that for extremely long times, clusters with velocity dependent coefficients of restitution are unstable and dissolve into homogeneous, quasi-elastic gases, but clusters with velocity independent $r$ are permanent. This is in accordance with hydrodynamic studies pointing to the transient nature of density instabilities for granular gases with velocity dependent $r$.

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