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Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=54195#.VPAyACzQrzE Author(s)     Vira A. Boluh 1 , Alexei L. Rebenko 2* Affiliation(s) 1 Faculty of Mathematics, Zhytomyr, Ukraine . 2 Institute of Mathematics, Ukrainian National Academy of Sciences, Kyiv, Ukraine . ABSTRACT A continuous infinite system of point particles interacting via two-body strong superstable potential is considered in the framework of cell gas (CG) model of classical statistical mechanics. We consider free energy of this model as an approximation of the correspondent value of the continuous system. It converges to the free energy of the conventional continuous gas if the parameter of approximation...

Read  full  paper  at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=54195#.VO7a8CzQrzE Author(s)   Vira A. Boluh 1 , Alexei L. Rebenko 2*   Affiliation(s) 1 Faculty of Mathematics, Zhytomyr, Ukraine . 2 Institute of Mathematics, Ukrainian National Academy of Sciences, Kyiv, Ukraine . ABSTRACT A continuous infinite system of point particles interacting via two-body strong superstable potential is considered in the framework of cell gas (CG) model of classical statistical mechanics. We consider free energy of this model as an approximation of the correspondent value of the continuous system. It converges to the free energy of the conventional continuous gas if the parameter of approximation α →0 for any values of an inverse temperature β ＞0 and volume per particle ν ＞0.   KEYWORDS Strong Superstable Potential , Quasi-Lattice Approximation , Cell Gas Cite this paper Boluh, V. and Rebenko, A. (2015) ...