{ "id": "1604.02900", "version": "v1", "published": "2016-04-11T11:52:23.000Z", "updated": "2016-04-11T11:52:23.000Z", "title": "Inhomogeneous distribution of particles and temperature in self-gravitating system", "authors": [ "B. I. Lev" ], "comment": "10 pages, no figures", "categories": [ "cond-mat.stat-mech" ], "abstract": "Self-gravitating system are non-equilibrium a priory. A new approach is proposed, which employs a non-equilibrium statistical operator into account inhomogeneous distribution of particles and temperature. The method involves the saddle - point procedure to find the dominant contribution to the partition function and thus to obtain all thermodynamic parameters of the system. Probable peculiar features in the behavior of self-gravitating system are considered for various condition. The equation of state for self-gravitating system has been obtained. A new length of statistical instability and parameter of the spatial inhomogeneous distribution of particles and temperature are obtained for real gravitating system.", "revisions": [ { "version": "v1", "updated": "2016-04-11T11:52:23.000Z" } ], "analyses": { "keywords": [ "self-gravitating system", "temperature", "non-equilibrium statistical operator", "account inhomogeneous distribution", "real gravitating system" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2016arXiv160402900L" } } }