Total curvature and total torsion of a freely jointed circular polymer with n ≫ 1 segments

Alexander Y. Grosberg

    Research output: Contribution to journalArticle

    Abstract

    A study was conducted to find that both total curvature and total torsion of the closed random polygon are not equal to π/2 per bond, but have corrections proportional to 1/n with universal coefficients close to 1.2 by using different methods. Many geometrical characteristics of closed polymer loops modeled as polygons of n > 1 edges. The joint probability distribution of all vectors was considered in the closed polygon to ensure the correct normalization. The study suggested that nπ/2n is an average angle of n turn for the polygon, because of the connection of smooth curves. It is concluded that both total curvature an total torsion deviates from the expected linear in n behavior and correction to both curvature and torsion do not depend on n because of opposite signs.

    Original languageEnglish (US)
    Pages (from-to)4524-4527
    Number of pages4
    JournalMacromolecules
    Volume41
    Issue number12
    DOIs
    StatePublished - Jun 24 2008

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    Torsional stress
    Polymers
    Probability distributions

    ASJC Scopus subject areas

    • Materials Chemistry

    Cite this

    Total curvature and total torsion of a freely jointed circular polymer with n ≫ 1 segments. / Grosberg, Alexander Y.

    In: Macromolecules, Vol. 41, No. 12, 24.06.2008, p. 4524-4527.

    Research output: Contribution to journalArticle

    Grosberg, Alexander Y. / Total curvature and total torsion of a freely jointed circular polymer with n ≫ 1 segments. In: Macromolecules. 2008 ; Vol. 41, No. 12. pp. 4524-4527.
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