38 citations · 218 across the 29 of their papers we have counts for
7 papers · 1 filter
Exact solution of weighted partially directed walks crossing a square
Nicholas R. Beaton, Aleksander L. Owczarek
We consider partially directed walks crossing a square weighted according to their length by a fugacity . The exact solution of this model is computed in three diffe…
Exact solutions of directed walk models of polymeric zipping with pulling in two and three dimensions
Nicholas R. Beaton, Aleksander L. Owczarek
We provide the exact solution of several variants of simple models of the zipping transition of two bound polymers, such as occurs in DNA/RNA, in two and three dimensions using pai…
Semi-flexible directed polymers in a strip with attractive walls
Nicholas R. Beaton, Leo Li, Jonathon Liu +1
We study a model of a semiflexible long chain polymer confined to a two-dimensional slit of width , and interacting with the walls of the slit. The interactions with the walls a…
Two-dimensional interacting self-avoiding walks: new estimates for critical temperatures and exponents
Nicholas R Beaton, Anthony J Guttmann, Iwan Jensen
We investigate, by series methods, the behaviour of interacting self-avoiding walks (ISAWs) on the honeycomb lattice and on the square lattice. This is the first such investigation…
Knotting statistics for polygons in lattice tubes
Nicholas R. Beaton, Jeremy W. Eng, Christine E. Soteros
We study several related models of self-avoiding polygons in a tubular subgraph of the simple cubic lattice, with a particular interest in the asymptotics of the knotting statistic…
Adsorption of self-avoiding walks at a defect
Nicholas R. Beaton
We consider the model of self-avoiding walks on the -dimensional hypercubic lattice interacting with a -dimensional defect, where . Such an interaction can be…
The critical pulling force for self-avoiding walks
Nicholas R. Beaton
Self-avoiding walks are a simple and well-known model of long, flexible polymers in a good solvent. Polymers being pulled away from a surface by an external agent can be modelled w…