Pressure and Phase Equilibria in Interacting Active Brownian Spheres
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)...
| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2015
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| Online Access: | http://hdl.handle.net/1721.1/96959 https://orcid.org/0000-0002-1112-5912 |
| _version_ | 1826199949025476608 |
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| author | Solon, Alexandre P. Stenhammar, Joakim Wittkowski, Raphael Kardar, Mehran Kafri, Yariv Cates, Michael E. Tailleur, Julien |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Solon, Alexandre P. Stenhammar, Joakim Wittkowski, Raphael Kardar, Mehran Kafri, Yariv Cates, Michael E. Tailleur, Julien |
| author_sort | Solon, Alexandre P. |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T11:28:41Z |
| format | Article |
| id | mit-1721.1/96959 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T11:28:41Z |
| publishDate | 2015 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/969592022-09-27T19:47:09Z Pressure and Phase Equilibria in Interacting Active Brownian Spheres Solon, Alexandre P. Stenhammar, Joakim Wittkowski, Raphael Kardar, Mehran Kafri, Yariv Cates, Michael E. Tailleur, Julien Massachusetts Institute of Technology. Department of Physics Kardar, Mehran 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. Engineering and Physical Sciences Research Council (Grant EP/J007404) National Science Foundation (U.S.) (Grant NSF PHY11-25925) 2015-05-12T12:21:28Z 2015-05-12T12:21:28Z 2015-05 2015-05-11T22:00:03Z Article http://purl.org/eprint/type/JournalArticle 0031-9007 1079-7114 http://hdl.handle.net/1721.1/96959 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 https://orcid.org/0000-0002-1112-5912 en http://dx.doi.org/10.1103/PhysRevLett.114.198301 Physical Review Letters Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. American Physical Society application/pdf American Physical Society American Physical Society |
| spellingShingle | Solon, Alexandre P. Stenhammar, Joakim Wittkowski, Raphael Kardar, Mehran Kafri, Yariv Cates, Michael E. Tailleur, Julien Pressure and Phase Equilibria in Interacting Active Brownian Spheres |
| title | Pressure and Phase Equilibria in Interacting Active Brownian Spheres |
| title_full | Pressure and Phase Equilibria in Interacting Active Brownian Spheres |
| title_fullStr | Pressure and Phase Equilibria in Interacting Active Brownian Spheres |
| title_full_unstemmed | Pressure and Phase Equilibria in Interacting Active Brownian Spheres |
| title_short | Pressure and Phase Equilibria in Interacting Active Brownian Spheres |
| title_sort | pressure and phase equilibria in interacting active brownian spheres |
| url | http://hdl.handle.net/1721.1/96959 https://orcid.org/0000-0002-1112-5912 |
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