Diffusion in a Granular Fluid - Simulation
arXiv:cond-mat/0201369 · doi:10.1103/PhysRevE.65.051304
Abstract
The linear response description for impurity diffusion in a granular fluid undergoing homogeneous cooling is developed in the preceeding paper. The formally exact Einstein and Green-Kubo expressions for the self-diffusion coefficient are evaluated there from an approximation to the velocity autocorrelation function. These results are compared here to those from molecular dynamics simulations over a wide range of density and inelasticity, for the particular case of self-diffusion. It is found that the approximate theory is in good agreement with simulation data up to moderate densities and degrees of inelasticity. At higher density, the effects of inelasticity are stronger, leading to a significant enhancement of the diffusion coefficient over its value for elastic collisions. Possible explanations associated with an unstable long wavelength shear mode are explored, including the effects of strong fluctuations and mode coupling.
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Cited by in corpus (41)
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- Grad's moment method for a granular fluid at moderate densities. Navier-Stokes transport coefficients
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- Steady state representation of the homogeneous cooling state of a granular gas
- Enskog kinetic theory for multicomponent granular suspensions
- Enskog kinetic theory of rheology for a moderately dense inertial suspension
- Homogeneous states in driven granular mixtures: Enskog kinetic theory versus molecular dynamics simulations
- Modified Sonine approximation for granular binary mixtures
- Exact time-averaged thermal conductance for small systems: Comparison between direct calculation and Green-Kubo formalism
- Energy nonequipartition in a collisional model of a confined quasi-two-dimensional granular mixture
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- Diffusion transport coefficients for granular binary mixtures at low density. Thermal diffusion segregation
- Scaling and aging in the homogeneous cooling state of a granular fluid of hard particles
- Steady base states for non-Newtonian granular hydrodynamics
- Mass transport of an impurity in a strongly sheared granular gas
- Navier--Stokes transport coefficients for a model of a confined quasi-two-dimensional granular binary mixture
- Kinetic Theory of Response Functions for the Hard Sphere Granular Fluid
- Tracer diffusion coefficients in a moderately dense granular suspension. Stability analysis and thermal diffusion segregation
- Generalized time evolution of the homogeneous cooling state of a granular gas with positive and negative coefficient of normal restitution
- Self-diffusion in a quasi-two dimensional gas of hard spheres
- Uniform self-diffusion in a granular gas
- Singular Energy Distributions in Granular Media
- Power-law decay of the velocity autocorrelation function of a granular fluid in the homogeneous cooling state
- Mobility and diffusion of intruders in granular suspensions. Einstein relation
- A note on the violation of the Einstein relation in a driven moderately dense granular gas
- Transport properties in a model of confined granular mixtures at moderate densities
- Diffusion of intruders in a granular gas thermostatted by a bath of elastic hard spheres
- Kinetic theory of polydisperse granular mixtures: influence of the partial temperatures on transport properties. A review