Static scaling behavior of high-molecular-weight polymers in dilute solution: A reexamination

A. D. Sokal

    Research output: Contribution to journalArticle

    Abstract

    Previous theories of dilute polymer solutions have failed to distinguish clearly between two very different ways of taking the long-chain limit: I) N?8 at fixed temperature T, and II) N?8, T?T ? with x=N ? (T?T ?) fixed, where ? is a suitable crossover exponent. I argue that the modern two-parameters theory (continuum Edwards model) applies to case II–not case I–and in fact gives exactly the crossover scaling functions for x? 0 modulo two nonuniversal scale factors. A Wilson-type renormalization group clarifies the connection between crossover scaling functions and continuum field theories.

    Original languageEnglish (US)
    Pages (from-to)661-666
    Number of pages6
    JournalEPL
    Volume27
    Issue number9
    DOIs
    StatePublished - Sep 20 1994

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    molecular weight
    crossovers
    scaling
    polymers
    continuums
    exponents
    temperature

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

    Cite this

    Static scaling behavior of high-molecular-weight polymers in dilute solution : A reexamination. / Sokal, A. D.

    In: EPL, Vol. 27, No. 9, 20.09.1994, p. 661-666.

    Research output: Contribution to journalArticle

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