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Teoreticheskaya i Matematicheskaya Fizika, 1996, Volume 109, Number 1, Pages 34–50
DOI: https://doi.org/10.4213/tmf1209
(Mi tmf1209)
 

This article is cited in 10 scientific papers (total in 10 papers)

Polymer stars in three dimensions. Three loop results

C. von Ferbera, Yu. Holovatchb

a University of Duisburg-Essen
b Institute for Condensed Matter Physics, National Academy of Sciences of Ukraine
References:
Abstract: We study the scaling properties of self-avoiding polymer stars and networks of arbitrarily given but fixed topology. We use the massive field theoretical renormalization group framework to calculate the critical exponents governing their universal properties (star exponents). Calculations are performed directly in three dimensions, renormalization group functions are obtained in the three-loop approximation. Resulting asymptotic series for star exponents are resummed with the help of Padé–Borel and conformal mapping transformations.
Received: 11.08.1995
English version:
Theoretical and Mathematical Physics, 1996, Volume 109, Issue 1, Pages 1274–1286
DOI: https://doi.org/10.1007/BF02069886
Bibliographic databases:
Language: Russian
Citation: C. von Ferber, Yu. Holovatch, “Polymer stars in three dimensions. Three loop results”, TMF, 109:1 (1996), 34–50; Theoret. and Math. Phys., 109:1 (1996), 1274–1286
Citation in format AMSBIB
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\by C.~von Ferber, Yu.~Holovatch
\paper Polymer stars in three dimensions. Three loop results
\jour TMF
\yr 1996
\vol 109
\issue 1
\pages 34--50
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\crossref{https://doi.org/10.4213/tmf1209}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1605497}
\zmath{https://zbmath.org/?q=an:0936.82508}
\transl
\jour Theoret. and Math. Phys.
\yr 1996
\vol 109
\issue 1
\pages 1274--1286
\crossref{https://doi.org/10.1007/BF02069886}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1996XH02300004}
Linking options:
  • https://www.mathnet.ru/eng/tmf1209
  • https://doi.org/10.4213/tmf1209
  • https://www.mathnet.ru/eng/tmf/v109/i1/p34
  • This publication is cited in the following 10 articles:
    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:324
    Full-text PDF :174
    References:33
    First page:1
     
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