{ "id": "math/9906194", "version": "v1", "published": "1999-06-28T22:00:05.000Z", "updated": "1999-06-28T22:00:05.000Z", "title": "Recent results and open problems on the hydrodynamics of disordered asymmetric exclusion and zero-range processes", "authors": [ "Timo Seppalainen" ], "comment": "Proceedings of II Escola Brasileira de Probabilidade (Barra do Sahy, Sao Paulo, August 1998)", "journal": "Resenhas IME-USP 4 (1999), 1-15", "categories": [ "math.PR", "math-ph", "math.MP" ], "abstract": "This paper summarizes results and some open problems about the large-scale and long-time behavior of asymmetric, disordered exclusion and zero-range processes. These processes have randomly chosen jump rates at the sites of the underlying lattice. The interesting feature is that for suitably distributed random rates there is a phase transition where the process behaves differently at high and low densities. Some of this distinction is visible on the hydrodynamic scale.", "revisions": [ { "version": "v1", "updated": "1999-06-28T22:00:05.000Z" } ], "analyses": { "subjects": [ "60K35", "82C22" ], "keywords": [ "disordered asymmetric exclusion", "zero-range processes", "open problems", "paper summarizes results", "randomly chosen jump rates" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "1999math......6194S" } } }