Limits of analogy between self-avoidance and topology-driven swelling of polymer loops

N. T. Moore, A. Y. Grosberg

    Research output: Contribution to journalArticle

    Abstract

    The work addresses the analogy between trivial knotting and excluded volume in looped polymer chains of moderate length, where the effects of knotting are small. A simple expression for the swelling seen in trivially knotted loops is described and shown to agree with simulation data. Contrast between this expression and the well-known expression for excluded volume polymers leads to a graphical mapping of excluded volume to trivial knots, which may be useful for understanding where the analogy between the two physical forms is valid. The work also includes description of a new method for the computational generation of polymer loops via conditional probability. Although computationally intensive, this method generates loops without statistical bias, and thus is preferable to other loop generation routines in the region of interest.

    Original languageEnglish (US)
    Article number061803
    JournalPhysical Review E
    Volume72
    Issue number6
    DOIs
    StatePublished - Dec 2005

    Fingerprint

    Swelling
    avoidance
    swelling
    Analogy
    Polymers
    topology
    Topology
    polymers
    Trivial
    data simulation
    Conditional probability
    Region of Interest
    Knot
    Valid
    Simulation

    ASJC Scopus subject areas

    • Physics and Astronomy(all)
    • Condensed Matter Physics
    • Statistical and Nonlinear Physics
    • Mathematical Physics

    Cite this

    Limits of analogy between self-avoidance and topology-driven swelling of polymer loops. / Moore, N. T.; Grosberg, A. Y.

    In: Physical Review E, Vol. 72, No. 6, 061803, 12.2005.

    Research output: Contribution to journalArticle

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