Conformational Entropy of a Branched Polymer

Alexander Grosberg, Alexander Gutin, Eugene Shakhnovich

    Research output: Contribution to journalArticlepeer-review

    Abstract

    We consider the globular state of a randomly branched polymer macromolecule with an annealed structure of branchings. We extend for a branched polymer the main steps of the Lifshitz theory of the globular phase and arrive at a generalized Lifshitz equation for conformational entropy. Both the ensemble with given density distributions for all types of particles (ends, branch points, linear chains, etc.) and the one with given total density and chemical potentials of different particles are considered. The entropy of a branched polymer confinement up to some scale R is shown to scale as N(a/R)4, contrary to N(a/R)2 for linear polymers; simple scaling arguments are given to explain this difference. The effect of nonlocality, or correlations between ends and branch points, is shown to cause a tendency toward microphase segregation in a branched system.

    Original languageEnglish (US)
    Pages (from-to)3718-3727
    Number of pages10
    JournalMacromolecules
    Volume28
    Issue number10
    DOIs
    StatePublished - May 1 1995

    ASJC Scopus subject areas

    • Organic Chemistry
    • Polymers and Plastics
    • Inorganic Chemistry
    • Materials Chemistry

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