Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2010-02-04
EPL 91, 34002 (2010)
Physics
Condensed Matter
Statistical Mechanics
6 pages, 7 figures; new version contains 2 new figures and text describing cascades
Scientific paper
10.1209/0295-5075/91/34002
We study inelastic gases in two dimensions using event-driven molecular dynamics simulations. Our focus is the nature of the stationary state attained by rare injection of large amounts of energy to balance the dissipation due to collisions. We find that under such extreme driving, with the injection rate much smaller than the collision rate, the velocity distribution has a power-law high energy tail. The numerically measured exponent characterizing this tail is in excellent agreement with predictions of kinetic theory over a wide range of system parameters. We conclude that driving by rare but powerful energy injection leads to a well-mixed gas and constitutes an alternative mechanism for agitating granular matter. In this distinct nonequilibrium steady-state, energy cascades from large to small scales. Our simulations also show that when the injection rate is comparable with the collision rate, the velocity distribution has a stretched exponential tail.
Ben-Naim Eli
Kang Woowon
Machta Jon
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