We discuss a new model of ideal granular gas consisting of a particle bouncing inelastically along a rough inclined plane. assuming a velocity-dependent inelastic interaction between the surface and the falling object we study the dynamical phase diagram which consists of three different phases: an accelerated motion, a stopping phase and a phase where the velocity fluctuates about a constant value. We analyze the statistical properties of the steady velocity regime and find that the velocity distribution is characterized by power law tails with a nonuniversal exponent beta which depends on the nature of the surface. An explanation for this phenomenon is presented and its relation with random multiplicative processes expounded.

Motion of a Granular Particle on a rough line

MARINI BETTOLO MARCONI, Umberto;CONTI, Massimo;
2000-01-01

Abstract

We discuss a new model of ideal granular gas consisting of a particle bouncing inelastically along a rough inclined plane. assuming a velocity-dependent inelastic interaction between the surface and the falling object we study the dynamical phase diagram which consists of three different phases: an accelerated motion, a stopping phase and a phase where the velocity fluctuates about a constant value. We analyze the statistical properties of the steady velocity regime and find that the velocity distribution is characterized by power law tails with a nonuniversal exponent beta which depends on the nature of the surface. An explanation for this phenomenon is presented and its relation with random multiplicative processes expounded.
2000
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11581/116732
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