Universal reference state in a driven homogeneous granular gas

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...

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Bibliographic Details
Published in:Physical review. E, Statistical, nonlinear, and soft matter physics Statistical, nonlinear, and soft matter physics, 2012-05, Vol.85 (5 Pt 1), p.051301-051301, Article 051301
Main Authors: García de Soria, María Isabel, Maynar, Pablo, Trizac, Emmanuel
Format: Article
Language:English
Subjects:
Condensed Matter
Physics
Statistical Mechanics
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Summary: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 the Boltzmann equation level for the one-particle distribution function and the 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.
ISSN:1539-3755
1550-2376
DOI:10.1103/PhysRevE.85.051301