Self-organization in systems of self-propelled particles

We investigate a discrete model consisting of self-propelled particles that obey simple interaction rules. We show that this model can self-organize and exhibit coherent localized solutions in one- and in two-dimensions. In one-dimension, the self-organized solution is a localized flock of finite ex...

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Bibliographic Details
Published inPhysical review. E, Statistical, nonlinear, and soft matter physics Vol. 63; no. 1 Pt 2; p. 017101
Main Authors Levine, H, Rappel, W J, Cohen, I
Format Journal Article
LanguageEnglish
Published United States 01.01.2001
Subjects
Animals
Behavior, Animal
Birds
Cell Movement
Computer Simulation
Fishes
Flight, Animal
Mathematical Computing
Models, Biological
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Summary:We investigate a discrete model consisting of self-propelled particles that obey simple interaction rules. We show that this model can self-organize and exhibit coherent localized solutions in one- and in two-dimensions. In one-dimension, the self-organized solution is a localized flock of finite extent in which the density abruptly drops to zero at the edges. In two-dimensions, we focus on the vortex solution in which the particles rotate around a common center and show that this solution can be obtained from random initial conditions, even in the absence of a confining boundary. Furthermore, we develop a continuum version of our discrete model and demonstrate that the agreement between the discrete and the continuum model is excellent.
ISSN:1539-3755
DOI:10.1103/PhysRevE.63.017101