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DY: Fachverband Dynamik und Statistische Physik

DY 44: Pattern Formation I

DY 44.2: Vortrag

Mittwoch, 14. März 2018, 10:30–10:45, BH-N 334

Active phase separation: A generic approach — •Fabian Bergmann, Lisa Rapp, and Walter Zimmermann — Theoretische Physik I, Universität Bayreuth, 95440 Bayreuth, Germany

Many non-equilibrium systems with conservation constraints show self-organization phenomena resembling classic phase separation: from cell polarization to cell populations communicating via chemotaxis, and from dense active Brownian particles to mussels in ecology. We identify this behavior as kinetic phase separation and suggest for its generic description near onset a Cahn-Hilliard (CH) model [J. Chem. Phys. 28, 258 (1958)]. We introduce a general perturbative reduction scheme to establish the mathematical link between the proposed generic CH equation and system-specific models. We show this explicitely for two examples - cell polarization and chemotactic cells. The comparison of the cell polarization model to its approximation by the CH model veryfies the valitity of our generic approach. We thus suggest the CH equation as a generic model for phase separation applicable to many systems both in and outside of equilibrium.