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 $\beta\simeq 0.45$.

Keywords

PhysicsKinetic energyPerturbation (astronomy)Phase transitionSymmetry (geometry)Perturbation theory (quantum mechanics)Symmetry breakingType (biology)Classical mechanicsMathematical physicsCondensed matter physicsQuantum mechanicsMathematicsGeometry

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Publication Info

Year
1995
Type
article
Volume
75
Issue
6
Pages
1226-1229
Citations
7117
Access
Closed

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Cite This

Tamás Vicsek, András Czirók, Eshel Ben‐Jacob et al. (1995). Novel Type of Phase Transition in a System of Self-Driven Particles. Physical Review Letters , 75 (6) , 1226-1229. https://doi.org/10.1103/physrevlett.75.1226

Identifiers

DOI
10.1103/physrevlett.75.1226