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Granular Patterns$
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Igor Aranson and Lev Tsimring

Print publication date: 2008

Print ISBN-13: 9780199534418

Published to Oxford Scholarship Online: January 2009

DOI: 10.1093/acprof:oso/9780199534418.001.0001

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Phase transitions, clustering, and coarsening in granular gases

Phase transitions, clustering, and coarsening in granular gases

(p.59) 4 Phase transitions, clustering, and coarsening in granular gases
Granular Patterns

Igor S. Aranson

Lev S. Tsimring

Oxford University Press

This chapter discusses theoretical approaches to modeling patterns that emerge in dilute granular systems with or without external excitation. It begins with the simplest possible realization of such a system: a freely cooling granular gas. It is shown that this system exhibits complicated dynamics as it loses energy via inelastic collisions, including clustering and inelastic collapse. Similar instabilities also occur in driven granular gases. The most common experimental realization of driven granular gases has been in vertically vibrated granular sub-monolayers. At sufficiently high frequency of vibrations, the vibrating surface is qualitatively similar to a thermal bath supplying kinetic energy to the particles. Experiments show that despite of spatially-uniform energy injection (heating), the grains separate in dilute gas and a dense (sometimes even crystalline) cluster with distinctly different temperatures. The chapter also describes the bistability leading to the formation and coarsening of dense clusters in such systems.

Keywords:   inelastic collapse, clustering, bistability, granular gas, sub-monolayers

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