Velocity Distribution of Driven Inelastic One-component Maxwell gas
arXiv:1701.03600 · doi:10.1103/PhysRevE.95.032909
Abstract
The nature of the velocity distribution of a driven granular gas, though well studied, is unknown as to whether it is universal or not, and if universal what it is. We determine the tails of the steady state velocity distribution of a driven inelastic Maxwell gas, which is a simple model of a granular gas where the rate of collision between particles is independent of the separation as well as the relative velocity. We show that the steady state velocity distribution is non-universal and depends strongly on the nature of driving. The asymptotic behavior of the velocity distribution are shown to be identical to that of a non-interacting model where the collisions between particles are ignored. For diffusive driving, where collisions with the wall are modelled by an additive noise, the tails of the velocity distribution is universal only if the noise distribution decays faster than exponential.
8 pages, 6 figures
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Cited by in corpus (10)
- Mpemba effect in driven granular Maxwell gases
- Mpemba effect in anisotropically driven inelastic Maxwell gases
- Producing suprathermal tails in the stationary velocity distribution
- Asymptotic behavior of the velocity distribution of driven inelastic gas with scalar velocities: analytical results
- Hydrodynamics of granular particles on a line
- Velocity distribution of driven granular gases
- Asymptotic velocity distribution of a driven one dimensional binary granular Maxwell gas
- Monotonicity in the averaging process
- State-dependent driving: A route to non-equilibrium stationary states
- Finite-time consensus in a compromise process