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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| Published in | Physical review. E, Statistical, nonlinear, and soft matter physics Vol. 63; no. 1 Pt 2; p. 017101 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
United States
01.01.2001
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| Subjects | |
| Online Access | Get more information |
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| Abstract | 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. |
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| AbstractList | 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. |
| Author | Cohen, I Levine, H Rappel, W J |
| Author_xml | – sequence: 1 givenname: H surname: Levine fullname: Levine, H organization: Department of Physics, University of California-San Diego, La Jolla, CA 92093-0319, USA – sequence: 2 givenname: W J surname: Rappel fullname: Rappel, W J – sequence: 3 givenname: I surname: Cohen fullname: Cohen, I |
| BackLink | https://www.ncbi.nlm.nih.gov/pubmed/11304390$$D View this record in MEDLINE/PubMed |
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