We give statistical definitions of the length, 1, of a loose prime knot tied into a long, fluctuating ring macromolecule. Monte Carlo results for the equilibrium, good solvent regime show that (1) similar to N(t), where N is the ring length and t similar or equal to 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 similar or equal to 1).

What is the length of a knot in a polymer?

MARCONE, BORIS;ORLANDINI, ENZO;STELLA, ATTILIO;ZONTA, FRANCESCO
2005

Abstract

We give statistical definitions of the length, 1, of a loose prime knot tied into a long, fluctuating ring macromolecule. Monte Carlo results for the equilibrium, good solvent regime show that (1) similar to N(t), where N is the ring length and t similar or equal to 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 similar or equal to 1).
File in questo prodotto:
Non ci sono file associati a questo prodotto.
Pubblicazioni consigliate

Caricamento pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11577/2450447
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 100
  • ???jsp.display-item.citation.isi??? 94
social impact