Flory theory of randomly branched polymers

Ralf Everaers, Alexander Y. Grosberg, Michael Rubinstein, Angelo Rosa

    Research output: Contribution to journalArticle

    Abstract

    Randomly branched polymer chains (or trees) are a classical subject of polymer physics with connections to the theory of magnetic systems, percolation and critical phenomena. More recently, the model has been reconsidered for RNA, supercoiled DNA and the crumpling of topologically-constrained polymers. While solvable in the ideal case, little is known exactly about randomly branched polymers with volume interactions. Flory theory provides a simple, unifying description for a wide range of branched systems, including isolated trees in good and θ-solvent, and tree melts. In particular, the approach provides a common framework for the description of randomly branched polymers with quenched connectivity and for randomly branching polymers with annealed connectivity. Here we review the Flory theory for interacting trees in the asymptotic limit of very large polymerization degree for good solvent, θ-solutions and melts, and report its predictions for annealed connectivity in θ-solvents. We compare the predictions of Flory theory for randomly branched polymers to a wide range of available analytical and numerical results and conclude that they are qualitatively excellent and quantitatively good in most cases.

    Original languageEnglish (US)
    Pages (from-to)1223-1234
    Number of pages12
    JournalSoft Matter
    Volume13
    Issue number6
    DOIs
    StatePublished - 2017

    Fingerprint

    Polymers
    polymers
    polymer physics
    Superhelical DNA
    predictions
    polymerization
    deoxyribonucleic acid
    Physics
    Polymerization
    RNA
    interactions

    ASJC Scopus subject areas

    • Chemistry(all)
    • Condensed Matter Physics

    Cite this

    Everaers, R., Grosberg, A. Y., Rubinstein, M., & Rosa, A. (2017). Flory theory of randomly branched polymers. Soft Matter, 13(6), 1223-1234. https://doi.org/10.1039/c6sm02756c

    Flory theory of randomly branched polymers. / Everaers, Ralf; Grosberg, Alexander Y.; Rubinstein, Michael; Rosa, Angelo.

    In: Soft Matter, Vol. 13, No. 6, 2017, p. 1223-1234.

    Research output: Contribution to journalArticle

    Everaers, R, Grosberg, AY, Rubinstein, M & Rosa, A 2017, 'Flory theory of randomly branched polymers', Soft Matter, vol. 13, no. 6, pp. 1223-1234. https://doi.org/10.1039/c6sm02756c
    Everaers R, Grosberg AY, Rubinstein M, Rosa A. Flory theory of randomly branched polymers. Soft Matter. 2017;13(6):1223-1234. https://doi.org/10.1039/c6sm02756c
    Everaers, Ralf ; Grosberg, Alexander Y. ; Rubinstein, Michael ; Rosa, Angelo. / Flory theory of randomly branched polymers. In: Soft Matter. 2017 ; Vol. 13, No. 6. pp. 1223-1234.
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