{ "id": "hep-ph/9507306", "version": "v2", "published": "1995-07-14T02:26:47.000Z", "updated": "1995-07-14T18:43:32.000Z", "title": "Condensation of bosons in kinetic regime", "authors": [ "D. V. Semikoz", "I. I. Tkachev" ], "comment": "23 pages plus 11 uuencoded figures, LaTeX, REVTEX 3.0 version", "journal": "Phys.Rev. D55 (1997) 489-502", "doi": "10.1103/PhysRevD.55.489", "categories": [ "hep-ph", "astro-ph", "cond-mat" ], "abstract": "We study the kinetic regime of the Bose-condensation of scalar particles with weak $\\lambda \\phi^4$ self-interaction. The Boltzmann equation is solved numerically. We consider two kinetic stages. At the first stage the condensate is still absent but there is a nonzero inflow of particles towards ${\\bf p} = {\\bf 0}$ and the distribution function at ${\\bf p} ={\\bf 0}$ grows from finite values to infinity in a finite time. We observe a profound similarity between Bose-condensation and Kolmogorov turbulence. At the second stage there are two components, the condensate and particles, reaching their equilibrium values. We show that the evolution in both stages proceeds in a self-similar way and find the time needed for condensation. We do not consider a phase transition from the first stage to the second. Condensation of self-interacting bosons is compared to the condensation driven by interaction with a cold gas of fermions; the latter turns out to be self-similar too. Exploiting the self-similarity we obtain a number of analytical results in all cases.", "revisions": [ { "version": "v2", "updated": "1995-07-14T18:43:32.000Z" } ], "analyses": { "subjects": [ "05.30.Jp", "95.35.+d", "32.80.Pj" ], "keywords": [ "kinetic regime", "first stage", "kinetic stages", "bose-condensation", "scalar particles" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. D" }, "note": { "typesetting": "RevTeX", "pages": 23, "language": "en", "license": "arXiv", "status": "editable", "inspire": 397234 } } }