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Teoreticheskaya i Matematicheskaya Fizika, 1994, Volume 98, Number 1, Pages 90–105 (Mi tmf1404)  
This article is cited in 1 scientific paper (total in 1 paper)

Exactly solvable lattice model of rooted branched polymers

E. I. Kornilov, V. B. Priezzhev

Joint Institute for Nuclear Research
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Abstract: A lattice model of rooted branched polymers that has an exact solution in all dimensions is considered. Kirchhoff's theorem is used to calculate the partition function of the model. Universal behavior of the thermodynamic functions of the model in the close-packing limit is found. A matrix procedure for calculating the correlation functions is developed. The mean number of atoms of a polymer with given valence is calculated for arbitrary densities. computed in the whole density range of polymers.
Received: 19.11.1992
English version:
Theoretical and Mathematical Physics, 1994, Volume 98, Issue 1, Pages 61–71
DOI: https://doi.org/10.1007/BF01015125
Bibliographic databases:
Language: Russian
Citation: E. I. Kornilov, V. B. Priezzhev, “Exactly solvable lattice model of rooted branched polymers”, TMF, 98:1 (1994), 90–105; Theoret. and Math. Phys., 98:1 (1994), 61–71
Citation in format AMSBIB
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\by E.~I.~Kornilov, V.~B.~Priezzhev
\paper Exactly solvable lattice model of rooted branched polymers
\jour TMF
\yr 1994
\vol 98
\issue 1
\pages 90--105
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1291370}
\zmath{https://zbmath.org/?q=an:0815.60101}
\transl
\jour Theoret. and Math. Phys.
\yr 1994
\vol 98
\issue 1
\pages 61--71
\crossref{https://doi.org/10.1007/BF01015125}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1994NV61800009}
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  • https://www.mathnet.ru/eng/tmf1404
  • https://www.mathnet.ru/eng/tmf/v98/i1/p90
    • This publication is cited in the following 1 articles:
    1. L M Stratychuk, C E Soteros, “Statistics of collapsed lattice animals: rigorous results and Monte Carlo simulations”, J. Phys. A: Math. Gen., 29:22 (1996), 7067  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:360
    Full-text PDF :152
    References:57
    First page:1
     
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