23 citations · 148 across the 24 of their papers we have counts for
12 papers · 1 filter
Entropic exponents of grafted lattices stars
EJ Janse van Rensburg
The surface entropic exponents of half-space lattice stars grafted at their central nodes in a hard wall are estimated numerically using the PERM algorithm. In the square half-latt…
Numerical estimates of square lattice star vertex exponents
S Campbell, EJ Janse van Rensburg
We implement parallel versions of the GARM and Wang-Landau algorithms for stars and for acyclic uniform branched networks in the square lattice. These are models of monodispersed b…
Force-induced desorption of -star polymers: a self-avoiding walk model
EJ Janse van Rensburg, S G Whittington
We consider a simple cubic lattice self-avoiding walk model of 3-star polymers adsorbed at a surface and then desorbed by pulling with an externally applied force. We determine rig…
Polygons pulled from an adsorbing surface
AJ Guttmann, EJ Janse van Rensburg, I Jensen +1
We consider self-avoiding lattice polygons, in the hypercubic lattice, as a model of a ring polymer adsorbed at a surface and either being desorbed by the action of a force, or pus…
Self-avoiding walks adsorbed at a surface and pulled at their mid-point
EJ Janse van Rensburg, SG Whittington
We consider a self-avoiding walk on the -dimensional hypercubic lattice, terminally attached to an impenetrable hyperplane at which it can adsorb. When a force is applied the wa…
Self-avoiding walks subject to a force
EJ Janse van Rensburg, SG Whittington
We prove some theorems about self-avoiding walks attached to an impenetrable surface (i.e. positive walks) and subject to a force. Specifically we show the force dependence of the…
Forces and pressures in adsorbing partially directed walks
E. J. Janse van Rensburg, T. Prellberg
Polymers in confined spaces lose conformational entropy. This induces a net repulsive entropic force on the walls of the confining space. A model for this phenomenon is a lattice w…
Microcanonical Simulations of Adsorbing Self-Avoiding Walks
Esaias J. Janse van Rensburg
Linear polymers adsorbing on a wall can be modelled by half-space self-avoiding walks adsorbing on a line in the square lattice, or on a surface in the cubic lattice. In this paper…
The entropic pressure of a lattice polygon
F. Gassoumov, E. J. Janse van Rensburg
The entropic pressure in the vicinity of a two dimensional square lattice polygon is examined as a model of the entropic pressure near a planar ring polymer. The scaling of the pre…
Minimal knotted polygons in cubic lattices
E. J. Janse van Rensburg, A. Rechnitzer
An implementation of BFACF-style algorithms on knotted polygons in the simple cubic, face centered cubic and body centered cubic lattice is used to estimate the statistics and writ…
On the universality of knot probability ratios
E. J. Janse van Rensburg, A. Rechnitzer
Let denote the number of self-avoiding polygons of length on a regular three-dimensional lattice, and let be the number which have knot type . The probability…
BFACF-style algorithms for polygons in the body-centered and face-centered cubic lattices
E. J. Janse van Rensburg, A. Rechnitzer
In this paper the elementary moves of the BFACF-algorithm for lattice polygons are generalised to elementary moves of BFACF-style algorithms for lattice polygons in the body-centre…