1 citations · 1 across the 3 of their papers we have counts for
4 papers
Haruspicy 3: The directed bond-animal generating function is not D-finite
Andrew Rechnitzer
While directed site-animals have been solved on several lattices, directed bond-animals remain unsolved on any non-trivial lattice. In this paper we demonstrate that the anisotropi…
Stretching of a chain polymer adsorbed at a surface
J. Krawczyk, T. Prellberg, A. Rechnitzer +1
In this paper we present simulations of a surface-adsorbed polymer subject to an elongation force. The polymer is modelled by a self-avoiding walk on a regular lattice. It is confi…
Haruspicy 2: The anisotropic generating function of self-avoiding polygons not D-finite
Andrew Rechnitzer
We prove that the anisotropic generating function of self-avoiding polygons is not a D-finite function - proving a conjecture of Guttmann and Enting. This result is also generalise…
Polymer Simulations with a flat histogram stochastic growth algorithm
Thomas Prellberg, Jaroslaw Krawczyk, Andrew Rechnitzer
We present Monte Carlo simulations of lattice models of polymers. These simulations are intended to demonstrate the strengths of a powerful new flat histogram algorithm which is ob…