Novel Type of Phase Transition in a System of SelfDriven Particles
Abstract
A simple model with a novel type of dynamics is introduced in order to investigate the emergence of selfordered 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, \v_{a}\ = 0) to finite net transport through spontaneous symmetry breaking of the rotational symmetry. The transition is continuous, since \v_{a}\ is found to scale as \(η_{c}η\)^{β} with β~=0.45.
 Publication:

Physical Review Letters
 Pub Date:
 August 1995
 DOI:
 10.1103/PhysRevLett.75.1226
 arXiv:
 arXiv:condmat/0611743
 Bibcode:
 1995PhRvL..75.1226V
 Keywords:

 Condensed Matter  Statistical Mechanics
 EPrint:
 Phys Rev Lett. 75(6):12261229 (1995)