Title:
Absence of inelastic collapse in a realistic three ball model

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Goldman, Daniel I.
Shattuck, M. D.
Bizon, C.
McCormick, W. D.
Swift, J. B.
Swinney, Harry L.
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Abstract
Inelastic collapse, the process in which a number of partially inelastic balls dissipate their energy through an infinite number of collisions in a finite amount of time, is studied for three balls on an infinite line and on a ring (i.e., a line segment with periodic boundary conditions). Inelastic collapse has been shown to exist for systems in which collisions occur with a coefficient of restitution r independent of the relative velocities of the colliding particles. In the present study, a more realistic model is assumed for r: r=1 for relative velocity equal to zero, and r decreases monotonically for increasing relative velocity. With this model, inelastic collapse does not occur for three balls on a line or a ring.
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1998-04
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