Abstract
We demonstrate that a system of self-propelled particles exhibits spontaneous symmetry breaking and self-organization in one dimension, in contrast with previous analytical predictions. To explain this surprising result we derive a new continuum theory that can account for the development of the symmetry broken state and belongs to the same universality class as the discrete self-propelled particle model.
Keywords
PhysicsUniversality (dynamical systems)Phase transitionSymmetry breakingClassical mechanicsCollective motionDimension (graph theory)Statistical physicsKinetic energyRenormalization groupSymmetry (geometry)Spontaneous symmetry breakingDiscrete symmetryTheoretical physicsQuantum mechanicsHomogeneous spaceMathematics
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Publication Info
- Year
- 1999
- Type
- article
- Volume
- 82
- Issue
- 1
- Pages
- 209-212
- Citations
- 270
- Access
- Closed
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Cite This
András Czirók,
Albert‐László Barabási,
Tamás Vicsek
(1999).
Collective Motion of Self-Propelled Particles: Kinetic Phase Transition in One Dimension.
Physical Review Letters
, 82
(1)
, 209-212.
https://doi.org/10.1103/physrevlett.82.209
Identifiers
- DOI
- 10.1103/physrevlett.82.209