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Pressure and Phase Equilibria in Interacting Active Brownian Spheres

Solon, Alexandre P; Stenhammar, Joakim LU ; Wittkowski, Raphael; Kardar, Mehran; Kafri, Yariv; Cates, Michael E and Tailleur, Julien (2015) In Physical Review Letters 114. p.198301-198301
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... (More)
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. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review Letters
volume
114
pages
198301 - 198301
publisher
American Physical Society
external identifiers
  • scopus:84930226363
ISSN
1079-7114
DOI
10.1103/PhysRevLett.114.198301
language
English
LU publication?
yes
id
076d56a2-a8da-4cfd-b446-8f426c40cd1c (old id 5425477)
alternative location
http://arxiv.org/pdf/1412.5475v2.pdf
date added to LUP
2015-06-30 13:25:57
date last changed
2017-10-22 03:26:17
@article{076d56a2-a8da-4cfd-b446-8f426c40cd1c,
  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.},
  author       = {Solon, Alexandre P and Stenhammar, Joakim and Wittkowski, Raphael and Kardar, Mehran and Kafri, Yariv and Cates, Michael E and Tailleur, Julien},
  issn         = {1079-7114},
  language     = {eng},
  pages        = {198301--198301},
  publisher    = {American Physical Society},
  series       = {Physical Review Letters},
  title        = {Pressure and Phase Equilibria in Interacting Active Brownian Spheres},
  url          = {http://dx.doi.org/10.1103/PhysRevLett.114.198301},
  volume       = {114},
  year         = {2015},
}