The entropic pressure of lattice knots

Abstract

The entropic pressure in the vicinity of a cubic lattice knot is examined as a model of the entropic pressure near a knotted ring polymer in a good solvent. A model for the scaling of the pressure is developed and this is tested numerically by sampling lattice knots using a Monte Carlo algorithm. Good agreement is found between scaling predictions and numerical experiments.

References in corpus (8)

• Critical Exponents of the N-vector model
• Accurate estimate of the critical exponent $\nu$ for self-avoiding walks via a fast implementation of the pivot algorithm
• What is the length of a knot in a polymer?
• A directed walk model of a long chain polymer in a slit with attractive walls
• Exact enumeration of self-avoiding walks
• Pressure exerted by a grafted polymer on the limiting line of a semi-infinite square lattice
• The Compressibility of Minimal Lattice Knots
• The entropic pressure of a lattice polygon

Cited by in corpus (1)

• Osmotic pressure of compressed lattice knots