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

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

2005-03-31

arxiv.org/abs/cond-mat/0503763v1

Physics

Condensed Matter

Statistical Mechanics

7 pages, 5 eps figures, to appear in Europhys. Lett

Scientific paper

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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