80 citations · 685 across the 76 of their papers we have counts for
4 papers · 1 filter
Identification of a polymer growth process with an equilibrium multi-critical collapse phase transition: the meeting point of swollen, collapsed and crystalline polymers
Jason Doukas, Aleksander L Owczarek, Thomas Prellberg
We have investigated a polymer growth process on the triangular lattice where the configurations produced are self-avoiding trails. We show that the scaling behaviour of this proce…
Exact Solution of the Discrete (1+1)-dimensional RSOS Model in a Slit with Field and Wall Interactions
Aleksander L Owczarek, Thomas Prellberg
We present the solution of a linear Restricted Solid--on--Solid (RSOS) model confined to a slit. We include a field-like energy, which equivalently weights the area under the inter…
A simple model of a vesicle drop in a confined geometry
Aleksander L Owczarek, Thomas Prellberg
We present the exact solution of a two-dimensional directed walk model of a drop, or half vesicle, confined between two walls, and attached to one wall. This model is also a genera…
Enumeration of area-weighed Dyck paths with restricted height
Aleksander L Owczarek, Thomas Prellberg
We derive explicit expressions for -orthogonal polynomials arising in the enumeration of area-weighted Dyck paths with restricted height.