Novel type of phase transition in a system of self-driven particles
| dc.creator | Vicsek, Tamas | |
| dc.creator | Czirok, Andras | |
| dc.creator | Ben-Jacob, Eshel | |
| dc.creator | Cohen, Inon | |
| dc.creator | Sochet, Ofer | |
| dc.date | 2006-11-29 | |
| dc.date.accessioned | 2026-07-07T07:31:31Z | |
| dc.date.available | 2026-07-07T07:31:31Z | |
| dc.description | A simple model with a novel type of dynamics is introduced in order to investigate the emergence of self-ordered motion in systems of particles with biologically motivated interaction. In our model particles are driven with a constant absolute velocity and at each time step assume the average direction of motion of the particles in their neighborhood with some random perturbation ($η$) added. We present numerical evidence that this model results in a kinetic phase transition from no transport (zero average velocity, $| {\bf v}_a | =0$) to finite net transport through spontaneous symmetry breaking of the rotational symmetry. The transition is continuous since $| {\bf v}_a |$ is found to scale as $(η_c-η)^β$ with $β\simeq 0.45$. | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0611743 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0611743 | |
| dc.identifier | Phys Rev Lett. 75(6):1226-1229 (1995) | |
| dc.identifier | doi:10.1103/PhysRevLett.75.1226 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/118782 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Novel type of phase transition in a system of self-driven particles | |
| dc.type | text |