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Generalized Thermodynamics of Phase Equilibria in Scalar Active Matter

2016/09/30 by Alexandre P. Solon, Joakim Stenhammar, Michael E. Cates +2 · 2 citations
Physics and Astronomy · #cond-mat.stat-mech #cond-mat.soft

paper · pdf · doi:10.1103/physreve.97.020602

published as Phys. Rev. E 97, 020602 (2018)

arxiv created 2018/02/21 · arxiv updated 2018/02/28

Abstract

Motility-induced phase separation (MIPS) arises generically in fluids of self-propelled particles when interactions lead to a kinetic slowdown at high densities. Starting from a continuum description of scalar active matter, akin to a generalized Cahn-Hilliard equation, we give a general prescription for the mean densities of coexisting phases in flux-free steady states that amounts, at a hydrodynamics scale, to extremizing an effective free energy. We illustrate our approach on two well-known models: self-propelled particles interacting either through a density-dependent propulsion speed or via direct pairwise forces. Our theory accounts quantitatively for their phase diagrams, providing a unified description of MIPS.

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