What is the length of a knot in a polymer?

B. Marcone*, E. Orlandini, A. L. Stella, F. Zonta

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

104 Citations (Scopus)


We give statistical definitions of the length, l, of a loose prime knot tied into a long, fluctuating ring macromolecule. Monte Carlo results for the equilibrium, good solvent regime show that <l> ∼ Nt, where N is the ring length and t ≃ 0.75 is independent of the knot type. In the collapsed regime below the theta temperature, length determinations based on the entropic competition of different knots within the same ring show knot delocalization (t ≃ 1).

Original languageEnglish
Pages (from-to)L15-L21
JournalJournal of Physics A: Mathematical and General
Issue number1
Publication statusPublished - 7 Jan 2005
Externally publishedYes


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