Aleks Owczarek

Exact solution of weighted partially directed walks crossing a square

Nicholas R Beaton, Aleks L Owczarek

Journal article  |  2023  |  Journal of Physics A: Mathematical and Theoretical

Abstract We consider partially directed walks crossing a $L\times L$ square weighted according to their len..

Self-avoiding walks contained within a square

Anthony J Guttmann, Iwan Jensen, Aleksander L Owczarek

Journal article  |  2022  |  JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

We have studied self-avoiding walks contained within an L × L square whose end-points can lie anywhere within, or on, the boundari..

Polymer collapse of a self-avoiding trail model on a two-dimensional inhomogeneous lattice

CJ Bradly, AL Owczarek

Journal article  |  2022  |  PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS

The study of the effect of random impurities on the collapse of a flexible polymer in dilute solution has had recent attention wit..

Critical scaling of lattice polymers confined to a box without endpoint restriction

CJ Bradly, AL Owczarek

Journal article  |  2022  |  JOURNAL OF MATHEMATICAL CHEMISTRY

We study self-avoiding walks on the square lattice restricted to a square box of side L weighted by a length fugacity without rest..

Exact solution of directed walk models of polymeric zipping with pulling in two and three dimensions

NR Beaton, AL Owczarek

Journal article  |  2021  |  Physica A: Statistical Mechanics and its Applications

© 2020 Elsevier B.V. We provide the exact solution of several variants of simple models of the zipping transition of two bound pol..

Effect of Lattice Inhomogeneity on Collapsed Phases of Semi-stiff ISAW Polymers

CJ Bradly, AL Owczarek

Journal article  |  2021  |  JOURNAL OF STATISTICAL PHYSICS

We investigate semi-stiff interacting self-avoiding walks on the square lattice with random impurities. The walks are simulated us..

Quarter-Plane Lattice Paths with Interacting Boundaries: The Kreweras and Reverse Kreweras Models

Nicholas R Beaton, Aleksander L Owczarek, Ruijie Xu

Book Chapter  |  2021  |  Springer Proceedings in Mathematics and Statistics

Lattice paths in the quarter plane have led to a large and varied set of results in recent years. One major project has been the c..

Adsorption of two-dimensional polymers with two- and three-body self-interactions

Nathann T Rodrigues, Tiago J Oliveira, Thomas Prellberg, Aleksander L Owczarek

Journal article  |  2019  |  PHYSICAL REVIEW E

Using extensive Monte Carlo simulations, we investigate the surface adsorption of self-avoiding trails on the triangular lattice w..

Adsorbed self-avoiding walks pulled at an interior vertex

CJ Bradly, EJ Janse van Rensburg, AL Owczarek, SG Whittington

Journal article  |  2019  |  JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

We consider self-avoiding walks terminally attached to a surface at which they can adsorb. A force is applied, normal to the surfa..

Exact solution of some quarter plane walks with interacting boundaries

NR Beaton, AL Owczarek, A Rechnitzer

Journal article  |  2019  |  ELECTRONIC JOURNAL OF COMBINATORICS

The set of random walks with different step sets (of short steps) in the quarter plane has provided a rich set of models that have..