{ "id": "1612.08404", "version": "v1", "published": "2016-12-26T15:30:18.000Z", "updated": "2016-12-26T15:30:18.000Z", "title": "Microscopic derivation of the hydrodynamics of active-Brownian-particle suspensions", "authors": [ "Stefano Steffenoni", "Gianmaria Falasco", "Klaus Kroy" ], "categories": [ "cond-mat.stat-mech", "cond-mat.soft" ], "abstract": "We derive the hydrodynamic equations of motion for a fluid of active particles described by under- damped Langevin equations that reduce to the Active-Brownian-Particle model, in the overdamped limit. The contraction into the hydrodynamic description is performed by locally averaging the par- ticle dynamics with the non-equilibrium many-particle probability density, whose formal expression is found in the physically relevant limit of high-friction through a multiple-time-scale analysis. This approach permits to identify the conditions under which self-propulsion can be subsumed into the fluid stress tensor and thus to define systematically and unambiguously the local pressure of the active fluid.", "revisions": [ { "version": "v1", "updated": "2016-12-26T15:30:18.000Z" } ], "analyses": { "keywords": [ "active-brownian-particle suspensions", "microscopic derivation", "non-equilibrium many-particle probability density", "fluid stress tensor", "hydrodynamic description" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }