{ "id": "1307.6633", "version": "v3", "published": "2013-07-25T05:34:03.000Z", "updated": "2013-12-29T07:26:21.000Z", "title": "Non-equilibrium steady state and induced currents of a mesoscopically-glassy system: interplay of resistor-network theory and Sinai physics", "authors": [ "Daniel Hurowitz", "Saar Rahav", "Doron Cohen" ], "comment": "9 pages, 8 figures, proofed published version", "journal": "Phys. Rev. E 88, 062141 (2013)", "doi": "10.1103/PhysRevE.88.062141", "categories": [ "cond-mat.stat-mech", "cond-mat.mes-hall", "physics.chem-ph" ], "abstract": "We introduce an explicit solution for the non-equilibrium steady state (NESS) of a ring that is coupled to a thermal bath, and is driven by an external hot source with log-wide distribution of couplings. Having time scales that stretch over several decades is similar to glassy systems. Consequently there is a wide range of driving intensities where the NESS is like that of a random walker in a biased Brownian landscape. We investigate the resulting statistics of the induced current $I$. For a single ring we discuss how $sign(I)$ fluctuates as the intensity of the driving is increased, while for an ensemble of rings we highlight the fingerprints of Sinai physics on the $abs(I)$ distribution.", "revisions": [ { "version": "v3", "updated": "2013-12-29T07:26:21.000Z" } ], "analyses": { "subjects": [ "05.70.Ln", "05.60.-k", "05.40.-a", "73.23.-b" ], "keywords": [ "non-equilibrium steady state", "sinai physics", "induced current", "resistor-network theory", "mesoscopically-glassy system" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review E", "year": 2013, "month": "Dec", "volume": 88, "number": 6, "pages": "062141" }, "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013PhRvE..88f2141H" } } }