{ "id": "cond-mat/0610309", "version": "v2", "published": "2006-10-11T17:10:28.000Z", "updated": "2007-05-20T20:31:06.000Z", "title": "Heat conduction and diffusion of hard disks in a narrow channel", "authors": [ "Adam Lipowski", "Dorota Lipowska" ], "comment": "4 pages, accepted in Phys.Rev.E", "journal": "Phys. Rev. E 75, 052201 (2007)", "doi": "10.1103/PhysRevE.75.052201", "categories": [ "cond-mat.stat-mech" ], "abstract": "Using molecular dynamics we study heat conduction and diffusion of hard disks in one dimensional narrow channels. When collisions preserve momentum the heat conduction $\\kappa$ diverges with the number of disks $N$ as $\\kappa\\sim N^\\alpha$ $(\\alpha \\approx 1/3)$. Such a behaviour is seen both when the ordering of disks is fixed ('pen-case' model), and when they can exchange their positions. Momentum conservation results also in sound-wave effects that enhance diffusive behaviour and on an intermediate time scale (that diverges in the thermodynamic limit) normal diffusion takes place even in the 'pen-case' model. When collisions do not preserve momentum, $\\kappa$ remains finite and sound-wave effects are absent.", "revisions": [ { "version": "v2", "updated": "2007-05-20T20:31:06.000Z" } ], "analyses": { "keywords": [ "hard disks", "sound-wave effects", "collisions preserve momentum", "intermediate time scale", "dimensional narrow channels" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. E" }, "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable" } } }