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cluster instability

Mathematical Modelling of Natural Phenomena (1)

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Mechanisms of Cluster Formation in Force-Free GranularGases
C. Salueña, L. Almazán, N. V. Brilliantov
Journal:

Mathematical Modelling of Natural Phenomena / Volume 6 / Issue 4 / 2011

Published online by Cambridge University Press:

18 July 2011, pp. 175-190

Print publication:

2011
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The evolution of a force-free granular gas with a constant restitution coefficient isstudied by means of granular hydrodynamics. We numerically solve the hydrodynamicequations and analyze the mechanisms of cluster formation. According to our findings, thepresently accepted mode-enslaving mechanism may not be responsible for the latterphenomenon. On the contrary, we observe that the cluster formation is mainly driven byshock-waves, which spontaneously originate and develop in the system. This agrees with apreviously suggested mechanism of formation of density singularities in one-dimensionalgranular gases.