{ "id": "1310.3762", "version": "v1", "published": "2013-10-14T17:49:37.000Z", "updated": "2013-10-14T17:49:37.000Z", "title": "Vortex distribution in a confining potential", "authors": [ "Yan Levin", "Matheus Girotto", "Alexandre Pereira dos Santos" ], "journal": "Physical Review E, 88, 032118 (2013)", "categories": [ "cond-mat.stat-mech" ], "abstract": "We study a model of interacting vortices in a type II superconductor. In the weak coupling limit, we constructed a mean-field theory which allows us to accurately calculate the vortex density distribution inside a confining potential. In the strong coupling limit, the correlations between the particles become important and the mean-field theory fails. Contrary to recent suggestions, this does not imply failure of the Boltzmann-Gibbs statistical mechanics, as we clearly demonstrate by comparing the results of Molecular Dynamics and Monte Carlo simulations.", "revisions": [ { "version": "v1", "updated": "2013-10-14T17:49:37.000Z" } ], "analyses": { "subjects": [ "05.40.Fb", "05.10.Gg", "05.20.-y", "05.45.-a" ], "keywords": [ "confining potential", "vortex distribution", "vortex density distribution inside", "mean-field theory fails", "monte carlo simulations" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review E", "doi": "10.1103/PhysRevE.88.032118", "year": 2013, "month": "Sep", "volume": 88, "number": 3, "pages": "032118" }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013PhRvE..88c2118G" } } }