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

N. T. Moore, A. Y. Grosberg

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    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 - Statistical, Nonlinear, and Soft Matter Physics
    Volume72
    Issue number6
    DOIs
    StatePublished - Dec 1 2005

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    ASJC Scopus subject areas

    • Statistical and Nonlinear Physics
    • Statistics and Probability
    • Condensed Matter Physics

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