{ "id": "1407.1213", "version": "v1", "published": "2014-07-04T13:04:18.000Z", "updated": "2014-07-04T13:04:18.000Z", "title": "Anomalous diffusion for inertial particles under gravity in parallel flows", "authors": [ "Marco Martins Afonso" ], "comment": "5 figures", "journal": "PRE 89, 063021 (2014)", "doi": "10.1103/PhysRevE.89.063021", "categories": [ "physics.flu-dyn", "nlin.CD" ], "abstract": "We investigate the bounds between normal or anomalous effective diffusion for inertial particles transported by parallel flows. The infrared behavior of the fluid kinetic-energy spectrum, i.e. the possible presence of long-range spatio-temporal correlations, is modeled as a power law by means of two parameters, and the problem is studied as a function of these latter. Our results, obtained in the limit of weak relative inertia, extend well-known results for tracers and apply to particles of any mass density, subject to gravity and Brownian diffusion. We consider both steady and time-dependent flows, and cases of both vanishing and finite particle sedimentation.", "revisions": [ { "version": "v1", "updated": "2014-07-04T13:04:18.000Z" } ], "analyses": { "subjects": [ "47.27.E-", "47.27.tb", "47.55.D-" ], "keywords": [ "inertial particles", "parallel flows", "anomalous diffusion", "long-range spatio-temporal correlations", "extend well-known results" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review E", "year": 2014, "month": "Jun", "volume": 89, "number": 6, "pages": "063021" }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014PhRvE..89f3021M" } } }