Novel type of phase transition in a system of self-driven particles

Details Novel type of phase transition in a system of self-driven particles Novel type of phase transition in a system of self-driven particles

2006-11-29

arxiv.org/abs/cond-mat/0611743v1

Phys Rev Lett. 75(6):1226-1229 (1995)

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1103/PhysRevLett.75.1226

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 ($\eta$) 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 $(\eta_c-\eta)^\beta$ with $\beta\simeq 0.45$.

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