Universal reference state in a driven homogeneous granular gas

Abstract

We study the dynamics of a homogeneous granular gas heated by a stochastic thermostat, in the low density limit. It is found that, before reaching the stationary regime, the system quickly "forgets" the initial condition and then evolves through a universal state that does not only depend on the dimensionless velocity, but also on the instantaneous temperature, suitably renormalized by its steady state value. We find excellent agreement between the theoretical predictions at Boltzmann equation level for the one-particle distribution function, and Direct Monte Carlo simulations. We conclude that at variance with the homogeneous cooling phenomenology, the velocity statistics should not be envisioned as a single-parameter, but as a two-parameter scaling form, keeping track of the distance to stationarity.

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Cited by in corpus (31)

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• Enskog kinetic theory for multicomponent granular suspensions
• Memory effect in uniformly heated granular gases
• Linear hydrodynamics for driven granular gases
• Transport coefficients for driven granular mixtures at low-density
• Hydrodynamics for a model of a confined quasi-two-dimensional granular gas
• Homogeneous steady states in a granular fluid driven by a stochastic bath with friction
• Stability analysis of the homogeneous hydrodynamics of a model for a confined granular gas
• Homogeneous states in driven granular mixtures: Enskog kinetic theory versus molecular dynamics simulations
• Strong non-exponential relaxation and memory effects in a fluid with non-linear drag
• Lattice models for granular-like velocity fields: Hydrodynamic limit
• Homogeneous hydrodynamics of a collisional model of confined granular gases
• Memory effects in the relaxation of a confined granular gas
• Transport coefficients of solid particles immersed in a viscous gas
• Time-dependent homogeneous states of binary granular suspensions
• Transport coefficients for granular suspensions at moderate densities
• Homogeneous dynamics in a vibrated granular monolayer
• Statistics of the dissipated energy in driven diffusive systems
• Linear response in the uniformly heated granular gas
• Optimal control of uniformly heated granular fluids in linear response
• Global stability and $H$-theorem in lattice models with non-conservative interactions
• Confined granular gases under the influence of vibrating walls
• Generalized time evolution of the homogeneous cooling state of a granular gas with positive and negative coefficient of normal restitution
• Navier-Stokes transport coefficients for driven inelastic Maxwell models
• Enskog kinetic theory of binary granular suspensions: heat flux and stability analysis of the homogeneous steady state
• Inelastic Maxwell models for monodisperse gas-solid flows
• Instabilities in granular gas-solid flows
• Kinetic glass transition in granular gases and non-linear molecular fluids