{ "id": "0806.4332", "version": "v2", "published": "2008-06-26T15:02:20.000Z", "updated": "2008-11-06T15:24:41.000Z", "title": "Superstatistical distributions from a maximum entropy principle", "authors": [ "Erik Van der Straeten", "Christian Beck" ], "journal": "Phys. Rev. E 78, 051101 (2008)", "doi": "10.1103/PhysRevE.78.051101", "categories": [ "cond-mat.stat-mech" ], "abstract": "We deal with a generalized statistical description of nonequilibrium complex systems based on least biased distributions given some prior information. A maximum entropy principle is introduced that allows for the determination of the distribution of the fluctuating intensive parameter $\\beta$ of a superstatistical system, given certain constraints on the complex system under consideration. We apply the theory to three examples: The superstatistical quantum mechanical harmonic oscillator, the superstatistical classical ideal gas, and velocity time series as measured in a turbulent Taylor-Couette flow.", "revisions": [ { "version": "v2", "updated": "2008-11-06T15:24:41.000Z" } ], "analyses": { "subjects": [ "05.20.-y", "05.30.-d", "05.70.Ln", "89.70.Cf" ], "keywords": [ "maximum entropy principle", "superstatistical distributions", "superstatistical quantum mechanical harmonic oscillator", "nonequilibrium complex systems", "velocity time series" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review E", "year": 2008, "month": "Nov", "volume": 78, "number": 5, "pages": "051101" }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2008PhRvE..78e1101V" } } }