Kinetics of a one‐dimensional granular medium in the quasielastic limit
S McNamara, WR Young - Physics of Fluids A: Fluid Dynamics, 1993 - pubs.aip.org
The dynamics of a one‐dimensional granular medium has a finite time singularity if the
number of particles in the medium is greater than a certain critical value. The singularity
(''inelastic collapse'') occurs when a group of particles collides infinitely often in a finite time
so that the separations and relative velocities vanish. To avoid the finite time singularity, a
double limit in which the coefficient of restitution r approaches 1 and the number of particles
N becomes large, but is always below the critical number needed to trigger collapse, is …
number of particles in the medium is greater than a certain critical value. The singularity
(''inelastic collapse'') occurs when a group of particles collides infinitely often in a finite time
so that the separations and relative velocities vanish. To avoid the finite time singularity, a
double limit in which the coefficient of restitution r approaches 1 and the number of particles
N becomes large, but is always below the critical number needed to trigger collapse, is …
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