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Bistable clustering in driven granular mixtures

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  • Costantini, Giulio
  • Paolotti, Daniela
  • Cattuto, Ciro
  • Marini Bettolo Marconi, Umberto

Abstract

The behavior of a bidisperse inelastic gas vertically shaken in a compartmentalized container is investigated using two different approaches: the first is a mean-field dynamical model, which treats the number of particles in the two compartments and the associated kinetic temperatures in a self-consistent fashion; the second is an event-driven numerical simulation. Both approaches reveal a non-stationary regime, which has no counterpart in the case of monodisperse granular gases. Specifically, when the mass difference between the two species exceeds a certain threshold the populations display a bistable behavior, with particles of each species switching back and forth between compartments. The reason for such an unexpected behavior is attributed to the interplay of kinetic energy non-equipartition due to inelasticity with the energy redistribution induced by collisions. The mean-field model and numerical simulation are found to agree qualitatively.

Suggested Citation

  • Costantini, Giulio & Paolotti, Daniela & Cattuto, Ciro & Marini Bettolo Marconi, Umberto, 2005. "Bistable clustering in driven granular mixtures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 347(C), pages 411-428.
    • Handle: RePEc:eee:phsmap:v:347:y:2005:i:c:p:411-428
    DOI: 10.1016/j.physa.2004.08.084
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