{ "id": "1304.1852", "version": "v1", "published": "2013-04-06T04:23:40.000Z", "updated": "2013-04-06T04:23:40.000Z", "title": "Random Matrix Theory approach to Mesoscopic Fluctuations of Heat Current", "authors": [ "Martin Schmidt", "Tsampikos Kottos", "Boris Shapiro" ], "comment": "6 pages,3 figures", "categories": [ "cond-mat.stat-mech" ], "abstract": "We consider an ensemble of fully connected networks of N oscillators coupled harmonically with random springs and show, using Random Matrix Theory considerations, that both the average phonon heat current and its variance are scale-invariant and take universal values in the large N-limit. These anomalous mesoscopic uctuations is the hallmark of strong correlations between normal modes.", "revisions": [ { "version": "v1", "updated": "2013-04-06T04:23:40.000Z" } ], "analyses": { "subjects": [ "44.10.+i", "05.45.-a", "05.60.-k" ], "keywords": [ "random matrix theory approach", "mesoscopic fluctuations", "random matrix theory considerations", "average phonon heat current", "normal modes" ], "tags": [ "journal article" ], "publication": { "doi": "10.1103/PhysRevE.88.022126", "journal": "Physical Review E", "year": 2013, "month": "Aug", "volume": 88, "number": 2, "pages": "022126" }, "note": { "typesetting": "TeX", "pages": 6, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013PhRvE..88b2126S" } } }