Imperfect pitchfork bifurcation in asymmetric two-compartment granular gas

doi:10.1088/1674-1056/22/5/054701

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

Received: 04 December 2012
Revised: 23 December 2012
Accepted manuscript online:

PACS:	47.20.Ky	(Nonlinearity, bifurcation, and symmetry breaking)
	45.70.-n	(Granular systems)
	05.70.Ln	(Nonequilibrium and irreversible thermodynamics)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11034010 and 11274354), the Chinese Academy of Sciences "Strategic Priority Research Program - SJ-10" (Grant No. XDA04020200), and the Special Fund for Earthquake Research of China (Grant No. 201208011).

Corresponding Authors: Hou Mei-Ying
E-mail: mayhou@aphy.iphy.ac.cn

Cite this article:

Zhang Yin (张因), Li Yin-Chang (李寅阊), Liu Rui (刘锐), Cui Fei-Fei (崔非非), Pierre Evesque, Hou Mei-Ying (厚美瑛) Imperfect pitchfork bifurcation in asymmetric two-compartment granular gas 2013 Chin. Phys. B 22 054701

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