A few notes about polymer knots

A. Y. Grosberg

    Research output: Contribution to journalArticlepeer-review


    Basic theoretical results on knots in a single polymer chain are reviewed. The probability of a knot upon random chain closure and the effect of a preexisting knot on the physical characteristics of a molecule are considered. The probability of a knot in the linear chain is related to knot entropy and the minimum work required for a knot to become untied in a thermodynamically equilibrium environment. However, when chain topology is fixed by end closure, it controls, for example, the average radius of gyration of a coil: a coil appears to be more compact as compared with a phantom one when a knot is more complex than a certain threshold, and more swollen in the opposite case.

    Original languageEnglish (US)
    Pages (from-to)70-79
    Number of pages10
    JournalPolymer Science - Series A
    Issue number1
    StatePublished - Jan 2009

    ASJC Scopus subject areas

    • Polymers and Plastics
    • Materials Chemistry


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