Pressure and Phase Equilibria in Interacting Active Brownian Spheres
Name
PhysRevLett.114.198301.pdf
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374.96 KB
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Author(s)
Solon, Alexandre P.
Stenhammar, Joakim
Wittkowski, Raphael
Kardar, Mehran
Kafri, Yariv
Cates, Michael E.
Tailleur, Julien
Date Issued
May 2015
Journal
Physical Review Letters
Publisher
American Physical Society
Citation
Solon, Alexandre P., Joakim Stenhammar, Raphael Wittkowski, Mehran Kardar, Yariv Kafri, Michael E. Cates, and Julien Tailleur. “Pressure and Phase Equilibria in Interacting Active Brownian Spheres.” Physical Review Letters 114, no. 19 (May 2015). © 2015 American Physical Society
Version
Final published version
Abstract
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.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevLett.114.198301
