Article,

Towards a continuum theory of clustering in a freely cooling inelastic gas

, and .
Europhysics Letters (EPL), 70 (4): 478-484 (2005)

Abstract

We performed molecular-dynamics simulations to investigate the clustering instability of a freely cooling dilute gas of inelastically colliding disks in a quasi–one-dimensional setting. We observe that, as the gas cools, the shear stress becomes negligibly small, and the gas flows by inertia only. Finite-time singularities, intrinsic in such a flow, are arrested only when close-packed clusters are formed. We observe that the late-time dynamics of this system are describable by the Burgers equation with vanishing viscosity, and predict the long-time coarsening behavior.

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