{ "id": "math/0608437", "version": "v2", "published": "2006-08-17T05:18:47.000Z", "updated": "2007-01-13T13:48:20.000Z", "title": "Exact connections between current fluctuations and the second class particle in a class of deposition models", "authors": [ "Marton Balazs", "Timo Seppalainen" ], "comment": "Second version, results a bit more clear; 23 pages", "journal": "Journal of Stat. Phys., Volume 127, Number 2 / April, 2007", "doi": "10.1007/s10955-007-9291-3", "categories": [ "math.PR" ], "abstract": "We consider a large class of nearest neighbor attractive stochastic interacting systems that includes the asymmetric simple exclusion, zero range, bricklayers' and the symmetric K-exclusion processes. We provide exact formulas that connect particle flux (or surface growth) fluctuations to the two-point function of the process and to the motion of the second class particle. Such connections have only been available for simple exclusion where they were of great use in particle current fluctuation investigations.", "revisions": [ { "version": "v2", "updated": "2007-01-13T13:48:20.000Z" } ], "analyses": { "subjects": [ "60K35", "82C41" ], "keywords": [ "second class particle", "exact connections", "deposition models", "attractive stochastic interacting systems", "neighbor attractive stochastic interacting" ], "tags": [ "journal article" ], "publication": { "journal": "Journal of Statistical Physics", "year": 2007, "month": "Apr", "volume": 127, "number": 2, "pages": 431 }, "note": { "typesetting": "TeX", "pages": 23, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007JSP...127..431B" } } }