{ "id": "1402.1628", "version": "v1", "published": "2014-02-07T12:59:33.000Z", "updated": "2014-02-07T12:59:33.000Z", "title": "Driven colloidal suspensions in confinement and density functional theory: Microstructure and wall-slip", "authors": [ "Artem A. Aerov", "Matthias Krüger" ], "comment": "11 pages, 8 figures", "categories": [ "cond-mat.stat-mech", "cond-mat.soft" ], "abstract": "We theoretically investigate general properties of driven (sheared) colloidal suspensions in confinement, based on methods of classical density functional theory. In the absence of an exact closed (Smoluchowski-) equation for the one-particle density under shear, we formulate a set of general conditions for approximations, and show that a simple closure fulfills them. The exact microscopic stress tensor is identified. Exemplifying the situation near a wall (oriented parallel to the direction of shear), we note that the microscopic shear stress is not necessarily homogeneous. Formulating a second equation additional to the Smoluchowski equation, we achieve a homogeneous shear stress, and thereby compute the local flow velocity near the wall. This finally leads to a slip length of the complex fluid at the wall.", "revisions": [ { "version": "v1", "updated": "2014-02-07T12:59:33.000Z" } ], "analyses": { "keywords": [ "density functional theory", "driven colloidal suspensions", "confinement", "microstructure", "exact microscopic stress tensor" ], "tags": [ "journal article" ], "publication": { "doi": "10.1063/1.4866450", "journal": "Journal of Chemical Physics", "year": 2014, "month": "Mar", "volume": 140, "number": 9, "pages": "094701" }, "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014JChPh.140i4701A" } } }