Pressure and Phase Equilibria in Interacting Active Brownian Spheres
(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:
https://lup.lub.lu.se/record/5425477
- author
- Solon, Alexandre P ; Stenhammar, Joakim LU ; Wittkowski, Raphael ; Kardar, Mehran ; Kafri, Yariv ; Cates, Michael E and Tailleur, Julien
- organization
- publishing date
- 2015
- 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
- pmid:26024201
- 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
- 2016-04-01 10:57:05
- date last changed
- 2022-04-12 19:03:31
@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 = {{https://lup.lub.lu.se/search/files/2262763/8570281.pdf}},
doi = {{10.1103/PhysRevLett.114.198301}},
volume = {{114}},
year = {{2015}},
}