181 citations · 1.9k across the 66 of their papers we have counts for
39 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…
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…
Square lattice self-avoiding walks and biased differential approximants
Iwan Jensen
The model of self-avoiding lattice walks and the asymptotic analysis of power-series have been two of the major research themes of Tony Guttmann. In this paper we bring the two tog…
Universal features of cluster numbers in percolation
Stephan Mertens, Iwan Jensen, Robert M. Ziff
The number of clusters per site in percolation at the critical point is not itself a universal quantity---it depends upon the lattice and percolation type (site or…
Pressure exerted by a grafted polymer on the limiting line of a semi-infinite square lattice
Iwan Jensen, Wellington G. Dantas, Carlos M. Marques +1
Using exact enumerations of self-avoiding walks (SAWs) we compute the inhomogeneous pressure exerted by a two-dimensional end-grafted polymer on the grafting line which limits a se…
Comment on `Series expansions from the corner transfer matrix renormalization group method: the hard-squares model'
Iwan Jensen
Earlier this year Chan extended the low-density series for the hard-squares partition function to 92 terms. Here we analyse this extended series focusing on the behaviour at…