{ "id": "1601.07859", "version": "v1", "published": "2016-01-28T18:54:35.000Z", "updated": "2016-01-28T18:54:35.000Z", "title": "Fluctuation-Dissipation Theorem and Detailed-Balance in Langevin Systems", "authors": [ "Hyun Keun Lee", "Sourabh Lahiri", "Hyunggyu Park" ], "comment": "5 pages, 1 figure", "categories": [ "cond-mat.stat-mech" ], "abstract": "We report that the well-known equivalence between the fluctuation-dissipation theorem, the detailed-balance, and the absence of heat dissipation in a steady state does not hold, in general. It is shown that the fluctuation-dissipation theorem and the detailed-balance become mutually exclusive as soon as a velocity-dependent force is involved. A different relation among the three conditions is proposed, which is illustrated with a few example systems. It turns out that any of the three conditions, alone, cannot be an identifier of equilibrium, in general.", "revisions": [ { "version": "v1", "updated": "2016-01-28T18:54:35.000Z" } ], "analyses": { "keywords": [ "fluctuation-dissipation theorem", "langevin systems", "detailed-balance", "example systems", "well-known equivalence" ], "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable" } } }