Inelastic collapse and clumping in a one‐dimensional granular medium
S McNamara, WR Young - Physics of Fluids A: Fluid Dynamics, 1992 - pubs.aip.org
The dynamics of a one‐dimensional gas of inelastic point particles is investigated. To model
inelastic collisions, it is supposed that the relative velocity of two colliding particles is
reduced by a factor r, where 0< r< 1. The constant r is the coefficient of restitution. Because
the collisions are inelastic, particles can collide infinitely often in finite time so that the
relative separations and velocities of adjacent particles on the line become zero. The
minimal example of this ''inelastic collapse''requires r< 7− 4 7/8≊ 0.0718. With this restriction …
inelastic collisions, it is supposed that the relative velocity of two colliding particles is
reduced by a factor r, where 0< r< 1. The constant r is the coefficient of restitution. Because
the collisions are inelastic, particles can collide infinitely often in finite time so that the
relative separations and velocities of adjacent particles on the line become zero. The
minimal example of this ''inelastic collapse''requires r< 7− 4 7/8≊ 0.0718. With this restriction …
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