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Instabilities and Pattern Formation in Active Particle Suspensions: Kinetic Theory and Continuum Simulations
Abstract
We use kinetic theory and nonlinear continuum simulations to study the collective dynamics in suspensions of self-propelled particles. The stability of aligned suspensions is first analyzed, and we demonstrate that such suspensions are always unstable to fluctuations, a result that generalizes previous predictions by Simha and Ramaswamy. Isotropic suspensions are also considered, and it is shown that an instability for the particle stress occurs in that case. Using simulations, nonlinear effects are investigated, and the long-time behavior of the suspensions is observed to be characterized by the formation of strong density fluctuations, resulting in efficient fluid mixing.
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Citations
Cited by
Vicsek, T., & Zafeiris, A. (2012) · Physics Reports · doi:10.1016/j.physrep.2012.03.004 · Cited by 2,923
The Mechanics and Statistics of Active Matter
Ramaswamy, S. (2010) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-070909-104101 · Cited by 2,038
Emergence of macroscopic directed motion in populations of motile colloids
Bricard, A., Caussin, J.-B., Desreumaux, N., Dauchot, O., & Bartolo, D. (2013) · Nature · doi:10.1038/nature12673 · Cited by 990
Meso-scale turbulence in living fluids
Wensink, H. H., Dunkel, J., Heidenreich, S., Drescher, K., Goldstein, R. E., Löwen, H., & Yeomans, J. M. (2012) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1202032109 · Cited by 984
Fluid dynamics and noise in bacterial cell–cell and cell–surface scattering
Drescher, K., Dunkel, J., Cisneros, L. H., Ganguly, S., & Goldstein, R. E. (2011) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1019079108 · Cited by 782
Metadata
- Authors
- Saintillan, D., & Shelley, M. J.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2008-04-29
- Volume
- 100
- Issue
- 17
- Pages
- 178103-178103
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1995664116
- Cited by
- 475
- References
- 0
- FWCI
- 16.56
- Type
- journal article
- Language
- en
- Open access
- closed
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- Saintillan, D., & Shelley, M. J. (2008). Instabilities and Pattern Formation in Active Particle Suspensions: Kinetic Theory and Continuum Simulations. Physical Review Letters. https://doi.org/10.1103/physrevlett.100.178103
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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