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Pressure and Phase Equilibria in Interacting Active Brownian Spheres
Open accessAbstract
We derive a microscopic expression for the mechanical pressure P in a system of spherical active Brownian particles at density ρ. Our exact result relates P, defined as the force per unit area on a bounding wall, to bulk correlation functions evaluated far away from the wall. It shows that (i) P(ρ) is a state function, independent of the particle-wall interaction; (ii) interactions contribute two terms to P, one encoding the slow-down that drives motility-induced phase separation, and the other a direct contribution well known for passive systems; and (iii) P is equal in coexisting phases. We discuss the consequences of these results for the motility-induced phase separation of active Brownian particles and show that the densities at coexistence do not satisfy a Maxwell construction on P.
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Cites
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Hydrodynamics of soft active matter
Marchetti, M. C., Joanny, J. F., Ramaswamy, S., Liverpool, T. B., Prost, J., Rao, M., & Simha, R. A. (2013) · Reviews of Modern Physics · doi:10.1103/revmodphys.85.1143 · Cited by 4,130
Self-Motile Colloidal Particles: From Directed Propulsion to Random Walk
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Living Crystals of Light-Activated Colloidal Surfers
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Cited by
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
The statistical physics of active matter: From self-catalytic colloids to living cells
Fodor, É., & Cristina Marchetti, M. (2018) · Physica A: Statistical Mechanics and its Applications · doi:10.1016/j.physa.2017.12.137 · Cited by 267
Metadata
- Authors
- Solon, A. P., Stenhammar, J., Wittkowski, R., Kardar, M., Kafri, Y., Cates, M. E., & Tailleur, J.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2015-05-11
- Volume
- 114
- Issue
- 19
- Pages
- 198301-198301
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1954810786
- Cited by
- 368
- References
- 26
- FWCI
- 27.99
- Type
- journal article
- Language
- en
- Open access
- bronze
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