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The Bogolubov generating functional method in statistical physics and the Wigner transform (Poster Presentation)
Author(s) -
Prykarpatsky Anatoliy K.,
Bogolubov Nikolai N.
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700983
Subject(s) - transformation (genetics) , convergence (economics) , statistical physics , operator (biology) , distribution (mathematics) , physics , mathematical physics , mathematics , diagram , mathematical analysis , biochemistry , chemistry , statistics , repressor , transcription factor , economics , gene , economic growth
We show that the N.N. Bogolubov generating functional method is a very effective tool for studying distribution functions of both equilibrium and non equilibrium states of classical many‐particle dynamical systems. In some cases the Bogolubov generating functionals can be represented by means of infinite Ursell‐Mayer diagram expansions, whose convergence holds under some additional constraints on statistical system. The classical Bogolubov idea [1] to use the Wigner density operator transformation for studying the non equilibrium distribution functions is developed and new analytic non‐stationary solution to the classical N.N. Bogolubov evolution functional equation is constructed. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)