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Active Brownian particles: From individual to collective stochastic dynamics
Open accessAbstract
Abstract We review theoretical models of individual motility as well as collective dynamics and pattern formation of active particles. We focus on simple models of active dynamics with a particular emphasis on nonlinear and stochastic dynamics of such self-propelled entities in the framework of statistical mechanics. Examples of such active units in complex physico-chemical and biological systems are chemically powered nano-rods, localized patterns in reaction-diffusion system, motile cells or macroscopic animals. Based on the description of individual motion of point-like active particles by stochastic differential equations, we discuss different velocity-dependent friction functions, the impact of various types of fluctuations and calculate characteristic observables such as stationary velocity distributions or diffusion coefficients. Finally, we consider not only the free and confined individual active dynamics but also different types of interaction between active particles. The resulting collective dynamical behavior of large assemblies and aggregates of active units is discussed and an overview over some recent results on spatiotemporal pattern formation in such systems is given.
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Cites
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Inherent noise can facilitate coherence in collective swarm motion
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Circular Motion of Asymmetric Self-Propelling Particles
Kümmel, F., ten Hagen, B., Wittkowski, R., Buttinoni, I., Eichhorn, R., Volpe, G., Löwen, H., & Bechinger, C. (2013) · Physical Review Letters · doi:10.1103/physrevlett.110.198302 · Cited by 469
Actin Flows Mediate a Universal Coupling between Cell Speed and Cell Persistence
Maiuri, P., Rupprecht, J.-F., Wieser, S., Ruprecht, V., Bénichou, O., Carpi, N., Coppey, M., De Beco, S., Gov, N., Heisenberg, C.-P., et al. (2015) · Cell · doi:10.1016/j.cell.2015.01.056 · Cited by 450
Emergent behavior in active colloids
Zöttl, A., & Stark, H. (2016) · Journal of Physics: Condensed Matter · doi:10.1088/0953-8984/28/25/253001 · Cited by 426
Computational models for active matter
Shaebani, M. R., Wysocki, A., Winkler, R. G., Gompper, G., & Rieger, H. (2020) · Nature Reviews Physics · doi:10.1038/s42254-020-0152-1 · Cited by 355
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Metadata
- Authors
- Romanczuk, P., Bär, M., Ebeling, W., Lindner, B., & Schimansky-Geier, L.
- Venue
- The European Physical Journal Special Topics
- Published
- 2012-03
- Volume
- 202
- Issue
- 1
- Pages
- 1-162
- ISSN
- 1951-6355 (ISSN-L)
- 1951-6401
- OpenAlex
- W1989543568
- Cited by
- 1,129
- References
- 9
- FWCI
- 35.63
- Type
- journal article
- Language
- en
- Open access
- green
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- Romanczuk, P., Bär, M., Ebeling, W., Lindner, B., & Schimansky-Geier, L. (2012). Active Brownian particles: From individual to collective stochastic dynamics. The European Physical Journal Special Topics. https://doi.org/10.1140/epjst/e2012-01529-y
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