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

  • Vicsek T
  • Czirk A
  • Ben-Jacob E
 et al. 
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Abstract

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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Authors

  • Tams Vicsek

  • Andrs Czirk

  • Eshel Ben-Jacob

  • Inon Cohen

  • Ofer Shochet

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