23 citations · 162 across the 20 of their papers we have counts for
5 papers · 1 filter
A self-interacting partially directed walk subject to a force
R. Brak, P. Dyke, J. Lee +4
We consider a directed walk model of a homopolymer (in two dimensions) which is self-interacting and can undergo a collapse transition, subject to an applied tensile force. We revi…
Polymers with self-attraction and stiffness: a generic phase structure
J. Krawczyk, A. L. Owczarek, T. Prellberg
Recently it has been shown that a two-dimensional model of self-attracting polymers based on attracting segments displays two phase transitions, a theta-like collapse between swoll…
Semi-flexible hydrogen-bonded and non-hydrogen bonded lattice polymers
J Krawczyk, AL Owczarek, T Prellberg
We investigate the addition of stiffness to the lattice model of hydrogen-bonded polymers in two and three dimensions. We find that, in contrast to polymers that interact via a hom…
Scaling of the atmosphere of self-avoiding walks
A. L. Owczarek, T. Prellberg
The number of free sites next to the end of a self-avoiding walk is known as the atmosphere. The average atmosphere can be related to the number of configurations. Here we study th…
Counting Defective Parking Functions
Peter J. Cameron, Daniel Johannsen, Thomas Prellberg +1
Suppose that drivers each choose a preferred parking space in a linear car park with spaces. Each driver goes to the chosen space and parks there if it is free, and otherwi…