TY - JOUR

T1 - What is the length of a knot in a polymer?

AU - Marcone, B.

AU - Orlandini, E.

AU - Stella, A. L.

AU - Zonta, F.

PY - 2005/1/7

Y1 - 2005/1/7

N2 - 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 ∼ 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).

AB - 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 ∼ 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).

UR - http://www.scopus.com/inward/record.url?scp=11844274617&partnerID=8YFLogxK

U2 - 10.1088/0305-4470/38/1/L03

DO - 10.1088/0305-4470/38/1/L03

M3 - Article

AN - SCOPUS:11844274617

SN - 0305-4470

VL - 38

SP - L15-L21

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 1

ER -