38 citations · 218 across the 29 of their papers we have counts for
8 papers · 1 filter
Partition function zeros of adsorbing Dyck paths
NR Beaton, EJ Janse van Rensburg
The zeros of the size- partition functions for a statistical mechanical model can be used to help understand the critical behaviour of the model as . Here we use wei…
Adsorbing staircase polygons subject to a force
Nicholas R. Beaton
We study several models of staircase polygons on the rotated square lattice, which interact with an impenetrable surface while also being pushed towards or pulled away f…
Polygons in restricted geometries subjected to infinite forces
Nicholas R Beaton, Jeremy W Eng, Christine E Soteros
We consider self-avoiding polygons in a restricted geometry, namely an infinite tube in . These polygons are subjected to a force , parallel to the infi…
A solvable non-directed model of polymer adsorption
Nicholas R. Beaton, Gerasim K. Iliev
Prudent walks are self-avoiding walks which cannot step towards an already occupied vertex. We introduce a new model of adsorbing prudent walks on the square lattice, which start o…
Compressed self-avoiding walks, bridges and polygons
Nicholas R. Beaton, Anthony J. Guttmann, Iwan Jensen +1
We study various self-avoiding walks (SAWs) which are constrained to lie in the upper half-plane and are subjected to a compressive force. This force is applied to the vertex or ve…
Two-dimensional self-avoiding walks and polymer adsorption: Critical fugacity estimates
Nicholas R. Beaton, Anthony J. Guttmann, Iwan Jensen
Recently Beaton, de Gier and Guttmann proved a conjecture of Batchelor and Yung that the critical fugacity of self-avoiding walks interacting with (alternate) sites on the surface…
A numerical adaptation of SAW identities from the honeycomb to other 2D lattices
Nicholas R Beaton, Anthony J Guttmann, Iwan Jensen
Recently, Duminil-Copin and Smirnov proved a long-standing conjecture by Nienhuis that the connective constant of self-avoiding walks on the honeycomb lattice is $\sqrt{2+\sqrt{2}}…
The critical fugacity for surface adsorption of self-avoiding walks on the honeycomb lattice is
Nicholas R. Beaton, Mireille Bousquet-Mélou, Jan de Gier +2
In 2010, Duminil-Copin and Smirnov proved a long-standing conjecture of Nienhuis, made in 1982, that the growth constant of self-avoiding walks on the hexagonal (a.k.a. honeycomb)…