Stability analysis of the homogeneous hydrodynamics of a model for a confined granular gas

Abstract

The linear hydrodynamic stability of a model for confined quasi-two-dimensional granular gases is analyzed. The system exhibits homogeneous hydrodynamics, i.e. there are macroscopic evolution equations for homogeneous states. The stability analysis is carried out around all these states and not only the homogeneous steady state reached eventually by the system. It is shown that in some cases the linear analysis is not enough to reach a definite conclusion on the stability, and molecular dynamics simulation results are presented to elucidate these cases. The analysis shows the relevance of nonlinear hydrodynamic contributions to describe the behavior of spontaneous fluctuations occurring in the system, that lead even to the transitory formation of clusters of particles. The conclusion is that the system is always stable. The relevance of the results for describing the instabilities of confined granular gases observed experimentally is discussed.

References in corpus (6)

• Crystallization of a quasi-two-dimensional granular fluid
• Caging dynamics in a granular fluid
• Universal reference state in a driven homogeneous granular gas
• Hydrodynamics for a model of a confined quasi-two-dimensional granular gas
• Shear viscosity of a model for confined granular media
• Dynamics of Annihilation I : Linearized Boltzmann Equation and Hydrodynamics

Cited by in corpus (7)

• Kinetic theory of a confined quasi-one-dimensional gas of hard disks
• Dynamics of an inelastic tagged particle under strong confinement
• Non-equilibrium coexistence between a fluid and a hotter or colder crystal of granular hard disks
• Diffusion of impurities in a moderately dense confined granular gas
• Inhomogeneous cooling state of a strongly confined granular gas at low density
• Heat flux of a granular gas with homogeneous temperature
• Transport properties in a model of confined granular mixtures at moderate densities