Pressure and Phase Equilibria in Interacting Active Brownian Spheres
We derive from first principles the mechanical pressure \(P\), defined as the force per unit area on a bounding wall, in a system of spherical, overdamped, active Brownian particles at density \(\rho\). Our exact result relates \(P\), in closed form, to bulk correlators and shows that (i) \(P(\rho)\...
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| creator | Solon, A P Stenhammar, J Wittkowski, R Kardar, M Kafri, Y Cates, M E Tailleur, J |
| description | We derive from first principles the mechanical pressure \(P\), defined as the force per unit area on a bounding wall, in a system of spherical, overdamped, active Brownian particles at density \(\rho\). Our exact result relates \(P\), in closed form, to bulk correlators and shows that (i) \(P(\rho)\) 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; (iii) \(P(\rho)\) 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 \(P\). |
| doi_str_mv | 10.48550/arxiv.1412.5475 |
| format | Article |
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| subjects | Brownian motion Correlators First principles Motility Phase equilibria Phase separation Physics - Soft Condensed Matter Physics - Statistical Mechanics |
| title | Pressure and Phase Equilibria in Interacting Active Brownian Spheres |
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