Abstract:
A representation is found for the coefficients of the expansion of the one-point correlation function (the one-particle distribution density) in a series in powers of the activity that makes it possible to calculate, at least approximately, the first few coefficients of the expansion. The results can also be used to investigate problems of the thermodynamic limit in the grand canonical ensemble.
Citation:
G. I. Kalmykov, “Representation of the power-series expansion coefficients for the one-point correlation function in the grand canonical ensemble”, TMF, 97:3 (1993), 452–458; Theoret. and Math. Phys., 97:3 (1993), 1405–1408
\Bibitem{Kal93}
\by G.~I.~Kalmykov
\paper Representation of the power-series expansion coefficients for the one-point correlation function in the grand canonical ensemble
\jour TMF
\yr 1993
\vol 97
\issue 3
\pages 452--458
\mathnet{http://mi.mathnet.ru/tmf1752}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1257882}
\zmath{https://zbmath.org/?q=an:0815.60099}
\transl
\jour Theoret. and Math. Phys.
\yr 1993
\vol 97
\issue 3
\pages 1405--1408
\crossref{https://doi.org/10.1007/BF01015771}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993NL72600011}
Linking options:
https://www.mathnet.ru/eng/tmf1752
https://www.mathnet.ru/eng/tmf/v97/i3/p452
This publication is cited in the following 5 articles:
Georgiy I. Kalmykov, “Frame classification of the reduced labeled blocks”, Discrete Math. Appl., 26:1 (2016), 1–11
G. I. Kalmykov, “A Representation of Virial Coefficients That Avoids the Asymptotic Catastrophe”, Theoret. and Math. Phys., 130:3 (2002), 432–447
G. I. Kalmykov, “Estimating the convergence radius of Mayer expansions: The nonnegative potential case”, Theoret. and Math. Phys., 116:3 (1998), 1063–1073
G. I. Kalmykov, “On the density in the grand canonical ensemble”, Theoret. and Math. Phys., 100:1 (1994), 834–845
G. I. Kalmykov, “Expansion of the correlation functions of the grand canonical ensemble in powers of the activity”, Theoret. and Math. Phys., 101:1 (1994), 1224–1234