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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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Structure Formation in Granular Gases of Viscoelastic Particles

Structure Formation in Granular Gases of Viscoelastic Particles

Chapter:
(p.239) 26 Structure Formation in Granular Gases of Viscoelastic Particles
Source:
Kinetic Theory of Granular Gases
Author(s):

Nikolai V. Brilliantov

Thorsten Pöschel

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198530381.003.0026

This chapter begins with a discussion of linearized equations for hydrodynamic modes. It then discusses stability analysis of the hydrodynamic modes and structure formation, and structure formation as a transient process. The stability analysis of hydrodynamic equations for a gas of viscoleastic particles shows that the conditions of instability for shear and heat modes depend on time. Thus, structure formation in granular gases is a transient process. Over time, the granular gas returns to the homogeneous cooling state.

Keywords:   hydrodynamic equations, linearized equations, structure formation, granular gas

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