paper

Bifurcation Diagram for Compartmentalized Granular Gases

arXiv:nlin/0103019 · doi:10.1103/PhysRevE.63.061304

Abstract

The bifurcation diagram for a vibro-fluidized granular gas in N connected compartments is constructed and discussed. At vigorous driving, the uniform distribution (in which the gas is equi-partitioned over the compartments) is stable. But when the driving intensity is decreased this uniform distribution becomes unstable and gives way to a clustered state. For the simplest case, N=2, this transition takes place via a pitchfork bifurcation but for all N>2 the transition involves saddle-node bifurcations. The associated hysteresis becomes more and more pronounced for growing N. In the bifurcation diagram, apart from the uniform and the one-peaked distributions, also a number of multi-peaked solutions occur. These are transient states. Their physical relevance is discussed in the context of a stability analysis.

Phys. Rev. E, in press. Figure quality has been reduced in order to decrease file-size

References in corpus (1)

Cited by in corpus (18)