title: Bifurcation diagram for compartmentalized granular gases.
abstract: The bifurcation diagram for a vibrofluidized 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 multipeaked solutions occur. These are transient states. Their physical relevance is discussed in the context of a stability analysis.
authors: Department of Applied Physics, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands.
authors: D
authors: D
authors: van der Meer
authors: K
authors: K
authors: van der Weele
authors: D
authors: D
authors: Lohse