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[2012.09803] Phase Diagram of Active Brownian Spheres: Crystallization and the Metastability of Motility-Induced Phase Separation We gratefully acknowledge support from the Simons Foundation and member institutions. > cond-mat > arXiv:2012.09803 All papers Titles Authors Abstracts Full text (Help | Advanced search) Full-text links: Download: PDF Other formats Current browse context: cond-mat.soft < prev | next > new | recent | 2012 Change to browse by: cond-mat cond-mat.stat-mech References & Citations NASA ADS Bookmark (what is this?) Condensed Matter > Soft Condensed Matter Title: Phase Diagram of Active Brownian Spheres: Crystallization and the Metastability of Motility-Induced Phase Separation Authors: Ahmad K. Omar, Katherine Klymko, Trevor GrandPre, Phillip L. Geissler (Submitted on 17 Dec 2020 (v1), last revised 26 Apr 2021 (this version, v4)) Abstract: Motility-induced phase separation (MIPS), the phenomenon in which purely repulsive active particles undergo a liquid-gas phase separation, is among the simplest and most widely studied examples of a nonequilibrium phase transition. Here, we show that states of MIPS coexistence are in fact only metastable for three-dimensional active Brownian particles over a very broad range of conditions, decaying at long times through an ordering transition we call active crystallization. At an activity just above the MIPS critical point, the liquid-gas binodal is superseded by the crystal-fluid coexistence curve, with solid, liquid, and gas all coexisting at the triple point where the two curves intersect. Nucleating an active crystal from a disordered fluid, however, requires a rare fluctuation that exhibits the nearly close-packed density of the solid phase. The corresponding barrier to crystallization is surmountable on a feasible timescale only at high activity, and only at fluid densities near maximal packing. The glassiness expected for such dense liquids at equilibrium is strongly mitigated by active forces, so that the lifetime of liquid-gas coexistence declines steadily with increasing activity, manifesting in simulations as a facile spontaneous crystallization at extremely high activity. Comments: Final version. Formerly titled "Active Crystallization" Subjects: Soft Condensed Matter (cond-mat.soft); Statistical Mechanics (cond-mat.stat-mech) Journal reference: Phys. Rev. Lett. 126, 188002 (2021) DOI: 10.1103/PhysRevLett.126.188002 Cite as: arXiv:2012.09803 [cond-mat.soft]   (or arXiv:2012.09803v4 [cond-mat.soft] for this version) Submission history From: Ahmad Omar . [view email] [v1] Thu, 17 Dec 2020 18:11:26 GMT (14589kb,D) [v2] Thu, 24 Dec 2020 05:34:41 GMT (15408kb,AD) [v3] Wed, 17 Mar 2021 04:31:24 GMT (15648kb,D) [v4] Mon, 26 Apr 2021 04:38:43 GMT (15649kb,D) Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?) Link back to: arXiv, form interface, contact. About Help contact arXivClick here to contact arXiv Contact subscribe to arXiv mailingsClick here to subscribe Subscribe Copyright Privacy Policy Web Accessibility Assistance arXiv Operational Status Get status notifications via email or slack