80 citations · 685 across the 76 of their papers we have counts for
62 papers · 1 filter
Random sampling of self-avoiding theta-graphs
Nicholas R. Beaton, Aleksander L. Owczarek
Theta-graphs are a type of spatial graph with two vertices connected by three edges. We investigate embeddings of theta-graphs in the square and simple cubic lattices, using a comb…
Exact solution of asymmetric gelation between three walks on the square lattice
Aleksander L Owczarek, Andrew Rechnitzer
We find and analyse the exact solution of a model of three different polymers with asymmetric contact interactions in two dimensions, modelling a scenario where there are different…
Compressed self-avoiding walks in two and three dimensions
C J Bradly, N R Beaton, A L Owczarek
We consider the phase transition induced by compressing a self-avoiding walk in a slab where the walk is attached to both walls of the slab in two and three dimensions, and the res…
Lattice polymers near a permeable interface
C J Bradly, N R Beaton, A L Owczarek
We study the localisation of lattice polymer models near a permeable interface in two dimensions. Localisation can arise due to an interaction between the polymer and the interface…
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…
Critical behaviour of the extended-ballistic transition for pulled self-avoiding walks
C. J. Bradly, A. L. Owczarek
In order to study long chain polymers many lattice models accommodate a pulling force applied to a particular part of the chain, often a free endpoint. This is in addition to well-…