title: Granular clustering: self-consistent analysis for general coefficients of restitution.
abstract: 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 the long-time behavior for the cluster's pressure, rms velocity, and granular interspacing. We show that for extremely long times, clusters with velocity-dependent coefficients of restitution are unstable and dissolve into homogeneous, quasielastic 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.
authors.affiliation: Departamento de Física, Pontifícia Universidade Católica do Rio de Janeiro, CP 38071, 22452-970 Rio de Janeiro, Brazil.
authors.forename: E
authors.initials: E
authors.lastname: Thiesen
authors.forename: W A M
authors.initials: WA
authors.lastname: Morgado