Issue |
Europhys. Lett.
Volume 51, Number 6, September II 2000
|
|
---|---|---|
Page(s) | 685 - 690 | |
Section | Interdisciplinary physics and related areas of science and technology | |
DOI | https://doi.org/10.1209/epl/i2000-00393-0 | |
Published online | 01 September 2002 |
Motion of a granular particle on a rough line
1
Dipartimento di Matematica e Fisica, Università di Camerino
and INFM
Via Madonna delle Carceri, I-62032 Camerino (MC), Italy
2
Dipartimento di Fisica, Università “La Sapienza”
and INFM
Piazzale A. Moro 2, 00185 Roma, Italy
Received:
20
December
1999
Accepted:
17
July
2000
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 β which depends on the nature of the surface. An explanation for this phenomenon is presented and its relation with random multiplicative processes expounded.
PACS: 83.70.Fn – Granular solids / 45.70.-n – Granular systems / 05.45.-a – Nonlinear dynamics and nonlinear dynamical systems
© EDP Sciences, 2000
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