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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.