{ "id": "1505.05796", "version": "v1", "published": "2015-05-21T17:21:13.000Z", "updated": "2015-05-21T17:21:13.000Z", "title": "Singularities in large deviation functions", "authors": [ "Yongjoo Baek", "Yariv Kafri" ], "comment": "Contribution to the JSTAT Special Issue based on the Galileo Galilei Institute Workshop \"Advances in Nonequilibrium Statistical Mechanics\"; 31 pages, 12 figures", "categories": [ "cond-mat.stat-mech" ], "abstract": "Large deviation functions of configurations exhibit very different behaviors in and out of thermal equilibrium. In particular, they exhibit singularities in a broad range of non-equilibrium models, which are absent in equilibrium. These singularities were first identified in finite-dimensional systems in the weak-noise limit. Recent studies have shown that they are also present in driven diffusive systems with an infinite-dimensional configuration space. This short review describes singularities appearing in both types of systems under a unified framework, presenting a classification of singularities into two broad categories. The types of singularities which were identified for finite-dimensional cases are compared to those found in driven diffusive systems.", "revisions": [ { "version": "v1", "updated": "2015-05-21T17:21:13.000Z" } ], "analyses": { "keywords": [ "large deviation functions", "singularities", "driven diffusive systems", "infinite-dimensional configuration space", "broad range" ], "publication": { "doi": "10.1088/1742-5468/2015/08/P08026", "journal": "Journal of Statistical Mechanics: Theory and Experiment", "year": 2015, "month": "Aug", "volume": 2015, "number": 8, "pages": "08026" }, "note": { "typesetting": "TeX", "pages": 31, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2015JSMTE..08..026B" } } }