44 citations · 91 across the 12 of their papers we have counts for
7 papers · 1 filter
Lattice Tadpoles
S G Whittington
We prove several rigorous results about the asymptotic behaviour of the numbers of tadpoles (or lassos) embedded in a lattice, including cases where the head is subject to a constr…
Exponential growth rate of lattice comb polymers
EJ Janse van Rensburg, SG Whittington
We investigate a lattice model of comb polymers and derive bounds on the exponential growth rate of the number of embeddings of the comb. A comb is composed of a backbone that is a…
Self-avoiding walks and polygons confined to a square
S G Whittington
We prove several rigorous results about the asymptotic behaviour of the numbers of polygons and self-avoiding walks confined to a square on the square lattice. Specifically we prov…
Adsorbed self-avoiding walks pulled at an interior vertex
C J Bradly, EJ Janse van Rensburg, A L Owczarek +1
We consider self-avoiding walks terminally attached to a surface at which they can adsorb. A force is applied, normal to the surface, to desorb the walk and we investigate how the…
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…
Pulling adsorbed self-avoiding walks from a surface
Anthony J. Guttmann, Iwan Jensen, Stu G. Whittington
We consider a self-avoiding walk model of polymer adsorption where the adsorbed polymer can be desorbed by the application of a force, concentrating on the case of the square latti…