Hydrodynamic Description of Granular Convection

Details Hydrodynamic Description of Granular Convection Hydrodynamic Description of Granular Convection

1995-04-21

arxiv.org/abs/adap-org/9504005v1

Nonlinear Sciences

Adaptation and Self-Organizing Systems

14 pages, RevTex 11pages + 3 pages figures (Type csh <file name>)

Scientific paper

10.1103/PhysRevLett.75.2328

We present a hydrodynamic model that captures the essence of granular dynamics in a vibrating bed. We carry out the linear stability analysis and uncover the instability mechanism that leads to the appearance of the convective rolls via a supercritical bifurcation of a bouncing solution. We also explicitly determine the onset of convection as a function of control parameters and confirm our picture by numerical simulations of the continuum equations.

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