| Issue |
J. Phys. I France
Volume 5, Number 9, September 1995
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|---|---|---|
| Page(s) | 1119 - 1128 | |
| DOI | https://doi.org/10.1051/jp1:1995185 | |
DOI: 10.1051/jp1:1995185
J. Phys. I France 5 (1995) 1119-1128
1 Groupe Matière Condensée et Matériaux (U.R.A 804), Université de Rennes I, Campus de Beaulieu, 35042 Rennes Cedex, France
2 Physique et Mécanique des Milieux Hétérogènes (U.R.A 857), Ecole Supérieure de Physique et Chimie Industrielles de la Ville de Paris, 10 rue Vauquelin, 75231 Paris Cedex 05, France
© Les Editions de Physique 1995
J. Phys. I France 5 (1995) 1119-1128
Spontaneous Formation of Vortex in a System of Self Motorised Particles
Y. Limon Duparcmeur1, H. Herrmann2 and J. P. Troadec11 Groupe Matière Condensée et Matériaux (U.R.A 804), Université de Rennes I, Campus de Beaulieu, 35042 Rennes Cedex, France
2 Physique et Mécanique des Milieux Hétérogènes (U.R.A 857), Ecole Supérieure de Physique et Chimie Industrielles de la Ville de Paris, 10 rue Vauquelin, 75231 Paris Cedex 05, France
(Received 29 March 1995, received in final form 9 May 1995, accepted 11 May 1995)
Abstract
We study a system of disks with inelastic collisions. Energy is given to the system via a force of
constant modulus, applied on each particle in the direction of its velocity. This system shows a
dynamical phase transition from a disordered system towards a system organized into a vortex when
the dissipation is increased. The state equation of the disordered system is obtained by using
kinetic theory arguments. We also show that the transition is similar to the kinetic-cluster
transition observed in the cooling of a gas of inelastic particles.
© Les Editions de Physique 1995