Hydrodynamic modes in a confined granular fluid

Abstract

Confined granular fluids, placed in a shallow box that is vibrated vertically, can achieve homogeneous stationary states thanks to energy injection mechanisms that take place throughout the system. These states can be stable even at high densities and inelasticities allowing for a detailed analysis of the hydrodynamic modes that govern the dynamics of granular fluids. Analyzing the decay of the time correlation functions it is shown that there is a crossover between a quasielastic regime in which energy evolves as a slow mode, to a inelastic regime, with energy slaved to the other conserved fields. The two regimes have well differentiated transport properties and, in the inelastic regime, the dynamics can be described by a reduced hydrodynamics with modified longitudinal viscosity and sound speed. The crossover between the two regimes takes place at a wavevector that is proportional to the inelasticity. A two dimensional granular model, with collisions that mimic the energy transfers that take place in a confined system is studied by means of microscopic simulations. The results show excellent agreement with the theoretical framework and allows the validation of hydrodynamic-like models.

8 figures, accepted in Phys. Rev. E

References in corpus (5)

• Inherent Rheology of a Granular Fluid in Uniform Shear Flow
• Structure factors in granular experiments with homogeneous fluidization
• Modified Sonine approximation for the Navier-Stokes transport coefficients of a granular gas
• Effect of inelasticity on the phase transitions of a thin vibrated granular layer
• Kinetic Theory and Hydrodynamics of Dense, Reacting Fluids far from Equilibrium

Cited by in corpus (39)

• Roles of energy dissipation in a liquid-solid transition of out-of-equilibrium systems
• Hydrodynamics for a model of a confined quasi-two-dimensional granular gas
• Enskog kinetic theory for a model of a confined quasi-two-dimensional granular fluid
• Quasi-crystalline order in vibrated granular matter
• The homogeneous steady state of a confined granular gas
• Stability analysis of the homogeneous hydrodynamics of a model for a confined granular gas
• Dynamics of a first order transition to an absorbing state
• Homogeneous states in driven granular mixtures: Enskog kinetic theory versus molecular dynamics simulations
• Shear viscosity of a model for confined granular media
• Kinetic Equation and Non-equilibrium Entropy for a Quasi-two-dimensional Gas
• Understanding the instability of a vibrated granular monolayer
• Enhancing (quasi-)long-range order in a two-dimensional driven crystal
• Effective two-dimensional model for granular matter with phase separation
• Homogeneous hydrodynamics of a collisional model of confined granular gases
• Memory effects in the relaxation of a confined granular gas
• Interplay between an absorbing phase transition and synchronization in a driven granular system
• Energy nonequipartition in a collisional model of a confined quasi-two-dimensional granular mixture
• The Enskog equation for confined elastic hard spheres
• Hyperuniformity and conservation laws in non-equilibrium systems
• Experimental observation of gapped shear waves and liquid-like to gas-like dynamical crossover in active granular matter
• Homogeneous dynamics in a vibrated granular monolayer
• Kinetic theory of a confined quasi-one-dimensional gas of hard disks
• Non-equilibrium steady states, coexistence and criticality in driven quasi-two-dimensional granular matter
• Navier--Stokes transport coefficients for a model of a confined quasi-two-dimensional granular binary mixture
• Attractor non-equilibrium stationary states in perturbed long-range interacting systems
• 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
• Diffusion of impurities in a moderately dense confined granular gas
• Confined granular gases under the influence of vibrating walls
• Inhomogeneous cooling state of a strongly confined granular gas at low density
• Dynamical and structural properties of an absorbing phase transition: a case study from granular systems
• Wave spectroscopy in a driven granular material
• Heat flux of a granular gas with homogeneous temperature
• Kinetic model for a confined quasi-two-dimensional gas of inelastic hard spheres
• Transport properties in a model of confined granular mixtures at moderate densities
• Stability of the homogeneous steady state for a model of a confined quasi-two-dimensional granular fluid
• Ballistic propagation of density correlations and excess wall forces in quenched granular media
• Conservation laws and slow dynamics determine the universality class of interfaces in active matter
• Kinetic Theory of Chiral Active Disks: Odd Transport and Torque Density