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Article Dans Une Revue Granular Matter Année : 2012

The onset of inelastic collapse in a one-dimensional granular gas

Résumé

We examine the onset of inelastic collapse for a cluster of 10 ≤ N ≤ 50 grains colliding with a fixed wall. When the restitution coefficient ẽ is less than a threshold, the cluster does not bounce off the wall, but comes to rest after an infinite number of collisions. Near the collapse threshold, a nearly periodic sequence of collisions is established that can be identified by tracking the most energetic collisions. The length of this sequence grows exponentially with N. The dispersal of a colliding cluster can be compared to the decay of a radioactive nucleus: the cluster has a fixed probability per unit time (measured in collisions) of dispersing. The "half-life" of the cluster grows exponentially as the restitution coefficient is decreased. Thus the onset of inelastic collapse is characterized by an exponentially growing time scale.

Dates et versions

hal-00909671 , version 1 (26-11-2013)

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Citer

Sean Mcnamara. The onset of inelastic collapse in a one-dimensional granular gas. Granular Matter, 2012, 14 (2), pp.121-126. ⟨10.1007/s10035-012-0327-2⟩. ⟨hal-00909671⟩
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