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Stability of Gibbs distributions
V. V. Krivolapova, G. I. Nazin
Abstract:
Lattice systems with binary interaction are considered. The Gibbs distributions
characterizing the states of the systems are determined by generating functionals
that satisfy Bogolyubov's equation. It is shown that to different regularity conditions
of the Gibbs distributions there correspond different natures of the continuous
dependence of the solutions of the Bogolyubov equation on the external field. This
makes it possible to regard the regularity conditions as conditions of stability of
the Gibbs distributions with respect to weak perturbations of them by external fields.
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Theoretical and Mathematical Physics, 1985, 65:2, 1172–1176
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Received: 30.03.1984
Citation:
V. V. Krivolapova, G. I. Nazin, “Stability of Gibbs distributions”, TMF, 65:2 (1985), 296–302; Theoret. and Math. Phys., 65:2 (1985), 1172–1176
Citation in format AMSBIB
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\by V.~V.~Krivolapova, G.~I.~Nazin
\paper Stability of Gibbs distributions
\jour TMF
\yr 1985
\vol 65
\issue 2
\pages 296--302
\mathnet{http://mi.mathnet.ru/tmf5104}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=823668}
\transl
\jour Theoret. and Math. Phys.
\yr 1985
\vol 65
\issue 2
\pages 1172--1176
\crossref{https://doi.org/10.1007/BF01017942}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1985C929000013}
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http://mi.mathnet.ru/eng/tmf5104 http://mi.mathnet.ru/eng/tmf/v65/i2/p296
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