Confinement of knotted polymers in a slit

Abstract

We investigate the effect of knot type on the properties of a ring polymer confined to a slit. For relatively wide slits, the more complex the knot, the more the force exerted by the polymer on the walls is decreased compared to an unknotted polymer of the same length. For more narrow slits the opposite is true. The crossover between these two regimes is, to first order, at smaller slit width for more complex knots. However, knot topology can affect these trends in subtle ways. Besides the force exerted by the polymers, we also study other quantities such as the monomer-density distribution across the slit and the anisotropic radius of gyration.

9 pages, 6 figures, submitted for publication

References in corpus (5)

• A directed walk model of a long chain polymer in a slit with attractive walls
• Knot-controlled ejection of a polymer from a virus capsid
• Polymers Confined between Two Parallel Plane Walls
• Universal properties of a single polymer chain in slit: Scaling versus MD simulations
• Effect of topology on dynamics of knots in polymers under tension

Cited by in corpus (8)

• Numerical study of linear and circular model DNA chains confined in a slit: metric and topological properties
• Influence of Rigidity and Knot Complexity on the Knotting of Confined Polymers
• Effect of bending rigidity on the knotting of a polymer under tension
• Ring polymers in confined geometries
• Lattice Knots in a Slab
• The free energy of compressed lattice knots
• Entropic force in a dilute solution of real ring polymer chains with different topological structures in a slit of two parallel walls with mixed boundary conditions
• Phase diagrams of confined square lattice links