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

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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 Ferber^a, Yu. Holovatch^b

^a University of Duisburg-Essen
^b Institute for Condensed Matter Physics, National Academy of Sciences of Ukraine

Full-text PDF (281 kB) Citations (10)

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DOI: https://doi.org/10.4213/tmf1209

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

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\pages 34--50

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\jour Theoret. and Math. Phys.

\yr 1996

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\pages 1274--1286

\crossref{https://doi.org/10.1007/BF02069886}

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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:

V Blavatska, R Metzler, “Conformational properties of complex polymers: rosette versus star-like structures”, J. Phys. A: Math. Theor., 48:13 (2015), 135001
Himmi M., Mohammadi L., “Extensive Study of Interaction Force Between Spherical Colloids and Star Polymers”, Int. J. Mod. Phys. B, 26:17 (2012), 1250105
Blavatska V., von Ferber C., Holovatch Yu., “Star copolymers in porous environments: Scaling and its manifestations”, Phys Rev E, 83:1, Part 1 (2011), 011803
Blavatska, V, “Scaling of complex polymers: New universality classes and beyond”, Philosophical Magazine, 88:33–35 (2008), 4085
Blavats'ka, V, “Entropy-induced separation of star polymers in porous media”, Physical Review E, 74:3 (2006), 031801
Schulte-Frohlinde, V, “Scaling of star polymers: high order results”, Physics Letters A, 328:4–5 (2004), 335
von Ferber, C, “Two-dimensional copolymers and multifractality: Comparing perturbative expansions, Monte Carlo simulations, and exact results”, Physical Review E, 65:4 (2002), 042801
Likos, CN, “Effective interactions in soft condensed matter physics”, Physics Reports-Review Section of Physics Letters, 348:4–5 (2001), 267
von Ferber, C, “Triplet interactions in star polymer solutions”, European Physical Journal E, 2:4 (2000), 311
von Ferber, C, “Copolymer networks and stars: Scaling exponents”, Physical Review E, 56:6 (1997), 6370

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Full-text PDF :	194
References:	44
First page:	1

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