Steady state representation of the homogeneous cooling state of a granular gas

Abstract

The properties of a dilute granular gas in the homogeneous cooling state are mapped to those of a stationary state by means of a change in the time scale that does not involve any internal property of the system. The new representation is closely related with a general property of the granular temperature in the long time limit. The physical and practical implications of the mapping are discussed. In particular, simulation results obtained by the direct simulation Monte Carlo method applied to the scaled dynamics are reported. This includes ensemble averages and also the velocity autocorrelation function, as well as the self-diffusion coefficient obtained from the latter by means of the Green-Kubo representation. In all cases, the obtained results are compared with theoretical predictions.

References in corpus (8)

• Sand as Maxwell's demon
• Statistical mechanics of fluidized granular media: short range velocity correlations
• A model for the atomic-scale structure of a dense, nonequilibrium fluid: the homogeneous cooling state of granular fluids
• Diffusion in a Granular Fluid - Simulation
• Diffusion of impurities in a granular gas
• Transversal inhomogeneities in dilute vibrofluidized granular fluids
• Green-Kubo Expressions for a Granular Gas
• Hydrodynamic Modes for Granular Gases

Cited by in corpus (18)

• Kovacs-like memory effect in driven granular gases
• Universal reference state in a driven homogeneous granular gas
• Hydrodynamic modes, Green-Kubo relations, and velocity correlations in dilute granular gases
• Scaling and universality of critical fluctuations in granular gases
• Memory effect in uniformly heated granular gases
• Towards an $H$-theorem for granular gases
• Breakdown of fluctuation-dissipation relations in granular gases
• The shearing instability of a dilute granular mixture
• Shear state of freely evolving granular gases
• Scaling and aging in the homogeneous cooling state of a granular fluid of hard particles
• Optimal control of uniformly heated granular fluids in linear response
• Generalized time evolution of the homogeneous cooling state of a granular gas with positive and negative coefficient of normal restitution
• Fluctuating hydrodynamics for dilute granular gases: a Monte Carlo study
• Approach to consensus in models of continuous-opinion dynamics: a study inspired by the physics of granular gases
• Uniform self-diffusion in a granular gas
• Power-law decay of the velocity autocorrelation function of a granular fluid in the homogeneous cooling state
• Fluctuating hydrodynamics in a vertically vibrated granular fluid with gravity
• Power injected in a granular gas