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

Alexander Y. Grosberg

    Research output: Contribution to journalArticlepeer-review

    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

    ASJC Scopus subject areas

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

    Fingerprint Dive into the research topics of 'Total curvature and total torsion of a freely jointed circular polymer with n ≫ 1 segments'. Together they form a unique fingerprint.

    Cite this