Collective Motion

Details Collective Motion Collective Motion

1999-02-09

arxiv.org/abs/physics/9902023v1

Physics

Biological Physics

13 pages incl. figures; to appear in the proceedings of the XV Sitges Conference

Scientific paper

10.1007/BFb0105013

With the aim of understanding the emergence of collective motion from local interactions of organisms in a "noisy" environment, we study biologically inspired, inherently non-equilibrium models consisting of self-propelled particles. In these models particles interact with their neighbors by turning towards the local average direction of motion. In the limit of vanishing velocities this behavior results in a dynamics analogous to some Monte Carlo realization of equilibrium ferromagnets. However, numerical simulations indicate the existence of new types of phase transitions which are not present in the corresponding ferromagnets. In particular, here we demonstrate both numerically and analytically that even in certain one dimensional self-propelled particle systems an ordered phase exists for finite noise levels.

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