{ "id": "cond-mat/0407534", "version": "v1", "published": "2004-07-20T19:33:09.000Z", "updated": "2004-07-20T19:33:09.000Z", "title": "Transport in nanoscale systems: the microcanonical versus grand-canonical picture", "authors": [ "M. Di Ventra", "T. N. Todorov" ], "comment": "6 pages, 1 figure", "journal": "J. Phys. Cond. Matt. 16, 8025 (2004)", "doi": "10.1088/0953-8984/16/45/024", "categories": [ "cond-mat.mes-hall" ], "abstract": "We analyse a picture of transport in which two large but finite charged electrodes discharge across a nanoscale junction. We identify a functional whose minimisation, within the space of all bound many-body wavefunctions, defines an instantaneous steady state. We also discuss factors that favour the onset of steady-state conduction in such systems, make a connection with the notion of entropy, and suggest a novel source of steady-state noise. Finally, we prove that the true many-body total current in this closed system is given exactly by the one-electron total current, obtained from time-dependent density-functional theory.", "revisions": [ { "version": "v1", "updated": "2004-07-20T19:33:09.000Z" } ], "analyses": { "keywords": [ "nanoscale systems", "grand-canonical picture", "true many-body total current", "time-dependent density-functional theory", "finite charged electrodes discharge" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable" } } }