{ "id": "1212.2706", "version": "v2", "published": "2012-12-12T05:16:28.000Z", "updated": "2013-11-21T10:14:44.000Z", "title": "Stochastic Echo Phenomena in Nonequilibrium Systems", "authors": [ "Jae Dong Noh" ], "comment": "5 pages, 1 figure, revised version", "journal": "J. Korean Phys. Soc. 64, 504 (2014)", "doi": "10.3938/jkps.64.504", "categories": [ "cond-mat.stat-mech" ], "abstract": "A thermodynamic system is driven into a nonequilibrium condition when a time-dependent force or a nonconservative force represented by a protocol $\\lambda(t)$ is applied. Such a system is time irreversible in the sense that the motion under a protocol $\\lambda(0\\leq t\\leq \\tau)$ and the time-reversed motion under $\\lambda(\\tau-t)$ are not equally probable. We investigate a stochastic echo phenomenon in which a system is controlled by an optimal protocol to display the time-reversed motion. The optimal protocol is derived for a Langevin system. For the time-dependent driving case, simple harmonic oscillator systems are found to display the perfect stochastic echo phenomenon. We also show that any system driven by a time-independent nonconservative force has a dual system displaying the perfect stochastic echo phenomenon. Our study provides a novel perspective on the time-irreversibility of nonequilibrium systems.", "revisions": [ { "version": "v2", "updated": "2013-11-21T10:14:44.000Z" } ], "analyses": { "keywords": [ "nonequilibrium systems", "perfect stochastic echo phenomenon", "optimal protocol", "simple harmonic oscillator systems", "nonconservative force" ], "tags": [ "journal article" ], "publication": { "journal": "Journal of Korean Physical Society", "year": 2014, "month": "Feb", "volume": 64, "number": 4, "pages": 504 }, "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014JKPS...64..504N" } } }