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

  • Vicsek T
  • Czirk A
  • Ben-Jacob E
 et al. 
  • 1.1k


    Mendeley users who have this article in their library.
  • 3.3k


    Citations of this article.


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 $\beta\simeq 0.45$.

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document


  • Tams Vicsek

  • Andrs Czirk

  • Eshel Ben-Jacob

  • Inon Cohen

  • Ofer Shochet

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free