Stability analysis of the homogeneous hydrodynamics of a model for a confined granular gas
arXiv:1610.02217 · doi:10.1103/PhysRevE.93.062907
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 (23)
- Clustering, Order, and Collapse in a Driven Granular Monolayer
- Crystallization of a quasi-two-dimensional granular fluid
- Caging dynamics in a granular fluid
- Two-dimensional melting far from equilibrium in a granular monolayer
- Randomly Driven Granular Fluids: collisional statistics and short scale structure
- A kinetic approach to granular gases
- The dynamics of thin vibrated granular layers
- Fluctuations and Criticality of a Granular Solid-Liquid-like Phase Transition
- Structure factors in granular experiments with homogeneous fluidization
- Sudden chain energy transfer events in vibrated granular media
- Chapman-Enskog expansion about nonequilibrium states: the sheared granular fluid
- Hydrodynamic modes in a confined granular fluid
- Growing non-equilibrium length in granular fluids: from experiment to fluctuating hydrodynamics
- Universal reference state in a driven homogeneous granular gas
- Transport properties for driven granular fluids in situations close to homogeneous steady states
- Roles of energy dissipation in a liquid-solid transition of out-of-equilibrium systems
- Linear hydrodynamics for driven granular gases
- Hydrodynamics for a model of a confined quasi-two-dimensional granular gas
- The homogeneous steady state of a confined granular gas
- Shear viscosity of a model for confined granular media
- Transport coefficients of solid particles immersed in a viscous gas
- Homogeneous hydrodynamics of a collisional model of confined granular gases
- Dynamics of Annihilation I : Linearized Boltzmann Equation and Hydrodynamics
Cited by in corpus (15)
- Molecular dynamics of partially confined Lennard-Jones gases: Velocity autocorrelation function, mean squared displacement, and collective excitations
- Enskog kinetic theory for a model of a confined quasi-two-dimensional granular fluid
- Understanding the instability of a vibrated granular monolayer
- Energy nonequipartition in a collisional model of a confined quasi-two-dimensional granular mixture
- Homogeneous dynamics in a vibrated granular monolayer
- Kinetic theory of a confined quasi-one-dimensional gas of hard disks
- Non-equilibrium coexistence between a fluid and a hotter or colder crystal of granular hard disks
- Dynamics of an inelastic tagged particle under strong confinement
- Navier--Stokes transport coefficients for a model of a confined quasi-two-dimensional granular binary mixture
- 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
- Kinetic model for a confined quasi-two-dimensional gas of inelastic hard spheres
- Stability of the homogeneous steady state for a model of a confined quasi-two-dimensional granular fluid
- Transport properties in a model of confined granular mixtures at moderate densities