Collective motion of active Brownian particles in one dimension
European Physical Journal: Special Topics, ISSN: 1951-6355, Vol: 187, Issue: 1, Page: 127-134
2010
- 24Citations
- 36Captures
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Article Description
We analyze a model of active Brownian particles with non-linear friction and velocity coupling in one spatial dimension. The model exhibits two modes of motion observed in biological swarms: A disordered phase with vanishing mean velocity and an ordered phase with finite mean velocity. Starting from the microscopic Langevin equations, we derive mean-field equations of the collective dynamics. We identify the fixed points of the mean-field equations corresponding to the two modes and analyze their stability with respect to the model parameters. Finally, we compare our analytical findings with numerical simulations of the microscopic model. © 2010 EDP Sciences and Springer.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=77957242768&origin=inward; http://dx.doi.org/10.1140/epjst/e2010-01277-0; http://link.springer.com/10.1140/epjst/e2010-01277-0; http://link.springer.com/content/pdf/10.1140/epjst/e2010-01277-0; http://link.springer.com/content/pdf/10.1140/epjst/e2010-01277-0.pdf; http://link.springer.com/article/10.1140/epjst/e2010-01277-0/fulltext.html; http://www.springerlink.com/index/10.1140/epjst/e2010-01277-0; http://www.springerlink.com/index/pdf/10.1140/epjst/e2010-01277-0; https://dx.doi.org/10.1140/epjst/e2010-01277-0; https://link.springer.com/article/10.1140/epjst/e2010-01277-0; https://link.springer.com/article/10.1140%2Fepjst%2Fe2010-01277-0
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