New corner stones in dissipative granular gases
| dc.creator | Evesque, P. | |
| dc.date | 2005-07-12 | |
| dc.date.accessioned | 2026-07-07T03:05:58Z | |
| dc.date.available | 2026-07-07T03:05:58Z | |
| dc.description | Theory of granular dissipative gas is discussed based on Boltzmann's equation and in view of recent experimental results in micro-gravity during few CNES and ESA campaigns [9,11]. It is recalled that the Boltzmann's distribution is a steady solution only when collisions are elastic; hence it is not applicable in the case of dissipative granular gas. The first experimental case concerns non-interacting balls in a vibrated cylindrical box, which proves that rotation-induced dissipation has important consequence: it reduces the efficient phase space dimension of this billiard-like system from 13-d to 1-d, since the motion is 1d and quasi-periodic for large enough forcing; the result remains valid with 2 balls. The second experiment concern the dynamics of interacting particles in the case of a small number (N= 12,24,36,48) of grains: The typical speed of a balls is found to vary linearly with the piston speed, but decreases when the number of balls N increases. The distribution of waiting times T1 between successive ball-gauge collisions follows an exponential distribution experimentally, i.e. P(T1)= exp(-T1/To), proving uncorrelated motions of balls. The amplitude I of the ball-gauge impacts is found to decrease exponentially p(I)=exp(-I/Io).This is temptatively explained using a model "a la Boltzmann" associated with the notion of "velostat", and a second model is proposed based on dissipation. Experiments show the coupling between rotation and translation during collisions cannot be neglected, because it generates efficient dissipation. | |
| dc.description | 46 pages + 1 page, 12 Figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0507267 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0507267 | |
| dc.identifier | Poudres & Grains 14, 8-53, (2004), ISSN 1257-3957 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/26644 | |
| dc.subject | Soft Condensed Matter | |
| dc.title | New corner stones in dissipative granular gases | |
| dc.type | text |