Breakdown of the Sonine expansion for the velocity distribution of granular gases

Brilliantov NV, Pöschel T (2006)

Publication Language: English

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2006

Journal

EPL - Europhysics Letters Institute of Physics: EPL

Publisher: Institute of Physics: EPL

Book Volume: 74

Pages Range: 424-430

Journal Issue: 3

DOI: 10.1209/epl/i2005-10555-6

Abstract

The velocity distribution of a granular gas is analyzed in terms of the Sonine polynomials expansion. We derive an analytical expression for the third Sonine coefficient a. In contrast to frequently used assumptions this coefficient is of the same order of magnitude as the second Sonine coefficient a. For small inelasticity the theoretical result is in good agreement with numerical simulations. The next-order Sonine coefficients a, and a are determined numerically. While these coefficients are negligible for small dissipation, their magnitude grows rapidly with increasing inelasticity for 0 < ε ≲ 0.6. We conclude that this behavior of the Sonine coefficients manifests the breakdown of the Sonine polynomial expansion caused by the increasing impact of the overpopulated high-energy tail of the distribution function. © EDP Sciences.

Authors with CRIS profile

Thorsten Pöschel Lehrstuhl für Multiscale Simulation of Particulate Systems

Involved external institutions

Universität Potsdam DE Germany (DE)

How to cite

APA:

Brilliantov, N.V., & Pöschel, T. (2006). Breakdown of the Sonine expansion for the velocity distribution of granular gases. EPL - Europhysics Letters, 74(3), 424-430. https://doi.org/10.1209/epl/i2005-10555-6

MLA:

Brilliantov, Nikolai V., and Thorsten Pöschel. "Breakdown of the Sonine expansion for the velocity distribution of granular gases." EPL - Europhysics Letters 74.3 (2006): 424-430.

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