{ "id": "1407.0277", "version": "v2", "published": "2014-06-30T02:55:33.000Z", "updated": "2014-09-25T09:29:44.000Z", "title": "Virial expansion and condensation with a new generating function", "authors": [ "Vishnu M. Bannur" ], "comment": "article, 9 pages, revised", "categories": [ "cond-mat.stat-mech", "hep-ph" ], "abstract": "Mayer's convergence method for virial expansion and condensation is studied using a new generating function for canonical partition function, which directly depends on irreducible cluster integral, $\\beta_k$, unlike Mayer's work where it depends on reducible cluster integral, $b_l$. The virial expansion, criteria for it's validity and criteria for condensation, etc. are derived from our generating function. All earlier Mayer's results are obtained from this new generating function.", "revisions": [ { "version": "v1", "updated": "2014-06-30T02:55:33.000Z", "comment": "article, 9 pages", "journal": null, "doi": null }, { "version": "v2", "updated": "2014-09-25T09:29:44.000Z" } ], "analyses": { "keywords": [ "generating function", "virial expansion", "condensation", "mayers convergence method", "earlier mayers results" ], "tags": [ "journal article" ], "publication": { "doi": "10.1016/j.physa.2014.10.053", "journal": "Physica A Statistical Mechanics and its Applications", "year": 2015, "month": "Feb", "volume": 419, "pages": 675 }, "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable", "inspire": 1304307, "adsabs": "2015PhyA..419..675B" } } }