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Kinetic Theory of Granular Gases$
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Nikolai V. Brilliantov and Thorsten Pöschel

Print publication date: 2004

Print ISBN-13: 9780198530381

Published to Oxford Scholarship Online: January 2010

DOI: 10.1093/acprof:oso/9780198530381.001.0001

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Sonine Polynomials Expansion of The Velocity Distribution Function

Sonine Polynomials Expansion of The Velocity Distribution Function

Chapter:
(p.62) 7 Sonine Polynomials Expansion of The Velocity Distribution Function
Source:
Kinetic Theory of Granular Gases
Author(s):

Nikolai V. Brilliantov

Thorsten Pöschel

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198530381.003.0007

The velocity distribution of function of a granular gas is different from the Maxwell distribution. It may be represented in the form of a Sonine polynomials expansion. This chapter shows that the coefficients of this expansion describe the moments of the velocity distribution function. The first non-trivial Sonine coefficient a2 is of particular interest for the gas kinetics.

Keywords:   velocity distribution function, Maxwell distribution, Sonine polynomials expansoin

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