Velocity distribution in granular gases of viscoelastic particles

Brilliantov N, Pöschel T (2000)


Publication Language: English

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2000

Journal

Book Volume: 61

Pages Range: 5573-5587

DOI: 10.1103/PhysRevE.61.5573

Abstract

The velocity distribution in a homogeneously cooling granular gas has been studied in the viscoelastic regime, when the restitution coefficient of colliding particles depends on the impact velocity. We show that for viscoelastic particles a simple scaling hypothesis is violated, i.e., that the time dependence of the velocity distribution does not scale with the mean square velocity as in the case of particles interacting via a constant restitution coefficient. The deviation from the Maxwellian distribution does not depend on time monotonically. For the case of small dissipation we detected two regimes of evolution of the velocity distribution function: Starting from the initial Maxwellian distribution, the deviation first increases with time on a collision time scale saturating at some maximal value; then it decays to zero on a much larger time scale which corresponds to the temperature relaxation. For larger values of the dissipation parameter there appears an additional intermediate relaxation regime. Analytical calculations for small dissipation agree well with the results of a numerical analysis.

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APA:

Brilliantov, N., & Pöschel, T. (2000). Velocity distribution in granular gases of viscoelastic particles. Physical Review E, 61, 5573-5587. https://dx.doi.org/10.1103/PhysRevE.61.5573

MLA:

Brilliantov, Nikolai, and Thorsten Pöschel. "Velocity distribution in granular gases of viscoelastic particles." Physical Review E 61 (2000): 5573-5587.

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