%0 Journal Article %1 Vicsek1995 %A Vicsek, Tamás %A Czirók, András %A Ben-Jacob, Eshel %A Cohen, Inon %A Shochet, Ofer %D 1995 %I American Physical Society %J Phys. Rev. Lett. %K swarms %N 6 %P 1226--1229 %R 10.1103/PhysRevLett.75.1226 %T Novel Type of Phase Transition in a System of Self-Driven Particles %V 75 %X 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 (η) added. We present numerical evidence that this model results in a kinetic phase transition from no transport (zero average velocity, |va| = 0) to finite net transport through spontaneous symmetry breaking of the rotational symmetry. The transition is continuous, since |va| is found to scale as (ηc-η)β with β≃0.45.

@article{Vicsek1995, 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 (η) added. We present numerical evidence that this model results in a kinetic phase transition from no transport (zero average velocity, |va| = 0) to finite net transport through spontaneous symmetry breaking of the rotational symmetry. The transition is continuous, since |va| is found to scale as (ηc-η)β with β≃0.45.}, added-at = {2011-04-14T13:44:05.000+0200}, author = {Vicsek, Tamás and Czirók, András and Ben-Jacob, Eshel and Cohen, Inon and Shochet, Ofer}, biburl = {https://www.bibsonomy.org/bibtex/27f8fc6e611d2e8134dac668fe0e1d450/rincedd}, doi = {10.1103/PhysRevLett.75.1226}, file = {Vicsek1995 - Novel Type of Phase Transition in a System of Self-Driven Particles.pdf:Swarms/Vicsek1995 - Novel Type of Phase Transition in a System of Self-Driven Particles.pdf:PDF}, groups = {public}, interhash = {8ae6d05e6f557850b246a8cf1560449e}, intrahash = {7f8fc6e611d2e8134dac668fe0e1d450}, jlprojects = {consensus_algorithms}, journal = {Phys. Rev. Lett.}, keywords = {swarms}, number = 6, numpages = {3}, pages = {1226--1229}, publisher = {American Physical Society}, timestamp = {2011-04-15T14:55:24.000+0200}, title = {Novel Type of Phase Transition in a System of Self-Driven Particles}, username = {rincedd}, volume = 75, year = 1995 }