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Imperfect pitchfork bifurcation in asymmetric two-compartment granular gas
Authors:Zhang Yin  Li Yin-Chang  Liu Rui  Cui Fei-Fei  Pierre Evesque  and Hou Mei-Ying
Affiliation:[1]Beijing National Laboratory for Condensed Matter Physics and CAS Key Laboratory of Soft Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China [2]Department of Physics, Beijing Institute of Technology, Beijing 100081, China [3]Laboratory MSSMat, UMR 8579 CNRS, Ecole Centrale Paris, 92295 Chatenay-Malabry, France
Abstract:The clustering behavior of a mono-disperse granular gas is experimentally studied in an asymmetric two-compartment setup. Unlike the random clustering in either compartment in the case of symmetric configuration when lowering the shaking strength to below a critical value, the directed clustering is observed, which corresponds to an imperfect pitchfork bifurcation. Numerical solutions of the flux equation using a modified simple flux function show qualitative agreements with the experimental results. The potential application of this asymmetric structure is discussed.
Keywords:compartmentalized granular gases   directed clustering   imperfect pitchfork bifurcation
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