{ "id": "1803.06159", "version": "v1", "published": "2018-03-16T10:44:35.000Z", "updated": "2018-03-16T10:44:35.000Z", "title": "Generalized thermodynamics of Motility-Induced Phase Separation: Phase equilibria, Laplace pressure, and change of ensembles", "authors": [ "Alexandre P. Solon", "Joakim Stenhammar", "Michael E. Cates", "Yariv Kafri", "Julien Tailleur" ], "comment": "33 pages, 14 figures", "categories": [ "cond-mat.stat-mech" ], "abstract": "Motility-induced phase separation (MIPS) leads to cohesive active matter in the absence of cohesive forces. We present, extend and illustrate a recent generalized thermodynamic formalism which accounts for its binodal curve. Using this formalism, we identify both a generalized surface tension, that controls finite-size corrections to coexisting densities, and generalized forces, that can be used to construct new thermodynamic ensembles. Our framework is based on a non-equilibrium generalization of the Cahn-Hilliard equation and we discuss its application to active particles interacting either via quorum-sensing interactions or directly through pairwise forces.", "revisions": [ { "version": "v1", "updated": "2018-03-16T10:44:35.000Z" } ], "analyses": { "keywords": [ "motility-induced phase separation", "laplace pressure", "phase equilibria", "controls finite-size corrections", "generalized surface tension" ], "note": { "typesetting": "TeX", "pages": 33, "language": "en", "license": "arXiv", "status": "editable" } } }