130 citations · 2k across the 94 of their papers we have counts for
32 papers · 1 filter
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…
New scaling laws for self-avoiding walks: bridges and worms
Bertrand Duplantier, Anthony J Guttmann
We show how the theory of the critical behaviour of -dimensional polymer networks gives a scaling relation for self-avoiding {\em bridges} that relates the critical exponent for…
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…
On the growth constant for square-lattice self-avoiding walks
Jesper Lykke Jacobsen, Christian R. Scullard, Anthony J. Guttmann
The growth constant for two-dimensional self-avoiding walks on the honeycomb lattice was conjectured by Nienhuis in 1982, and since that time the corresponding results for the squa…
On a square-ice analogue of plane partitions
Suresh Govindarajan, Anthony J. Guttmann, Varsha Subramanyan
We study a one-parameter family () of configurations that are square-ice analogues of plane partitions. Using an algorithm due to Bratley and McKay, we carry out…
Series extension: Predicting approximate series coefficients from a finite number of exact coefficients
Anthony J Guttmann
Given the first 20-100 coefficients of a typical generating function of the type that arises in many problems of statistical mechanics or enumerative combinatorics, we show that th…