{ "id": "1510.07333", "version": "v1", "published": "2015-10-26T00:17:54.000Z", "updated": "2015-10-26T00:17:54.000Z", "title": "Microscopic theory of a phase transition in a critical region: Bose-Einstein condensation in an interacting gas", "authors": [ "Vitaly V. Kocharovsky", "Vladimir V. Kocharovsky" ], "comment": "5 pages", "journal": "Physics Letters A 379, 466-470 (2015)", "doi": "10.1016/j.physleta.2014.10.052", "categories": [ "cond-mat.stat-mech" ], "abstract": "We present a microscopic theory of the second order phase transition in an interacting Bose gas that allows one to describe formation of an ordered condensate phase from a disordered phase across an entire critical region continuously. We derive the exact fundamental equations for a condensate wave function and the Green functions, which are valid both inside and outside the critical region. They are reduced to the usual Gross-Pitaevskii and Beliaev-Popov equations in a low-temperature limit outside the critical region. The theory is readily extendable to other phase transitions, in particular, in the physics of condensed matter and quantum fields.", "revisions": [ { "version": "v1", "updated": "2015-10-26T00:17:54.000Z" } ], "analyses": { "keywords": [ "microscopic theory", "bose-einstein condensation", "interacting gas", "second order phase transition", "low-temperature limit outside" ], "tags": [ "journal article" ], "publication": { "publisher": "Elsevier" }, "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable" } } }