Bifurcation diagram for compartmentalized granular gases

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Meer, Devaraj van der and Weele, Ko van der and Lohse, Detlef (2001) Bifurcation diagram for compartmentalized granular gases. Physical Review E: Statistical, nonlinear, and soft matter physics, 63 (061304). 061304-1. ISSN 1539-3755

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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, N52, 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.
Item Type:Article
Copyright:© 2001 The American Physical Society
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Science and Technology (TNW)
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Link to this item:http://purl.utwente.nl/publications/36522
Official URL:http://dx.doi.org/10.1103/PhysRevE.63.061304
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