We present the exact solutions of various directed walk models of polymers confined to a slit and interacting with the walls of the slit via an attractive potential. We consider three geometricâ€¦ (More)

We analyse directed walk models of random copolymer adsorption and localization. Ideally we would like to solve the quenched problem, but it appears to be intractable even for simple directed models.â€¦ (More)

We consider a self-avoiding walk on the simple cubic lattice, as a model of localization of a random copolymer at an interface between two immiscible liquids. The vertices of the walk are coloured Aâ€¦ (More)

BACKGROUND
The study was conducted to assess socio-behavioral and biological factors associated with unplanned pregnancy in the US cohort of a microbicide trial.
STUDY DESIGN
We conducted aâ€¦ (More)

We present Monte Carlo results on a model of polymers in a condensed phase, over a range of monomer densities. We imagine cutting a cube out of the system. This cube will typically have severalâ€¦ (More)

We consider a self-avoiding walk model of polymer adsorption where the adsorbed polymer can be desorbed by the application of a force, concentrating on the case of the square lattice. Using seriesâ€¦ (More)

We consider self-avoiding polygons on the simple cubic lattice with a torsion fugacity. We use Monte Carlo methods to generate large samples as a function of the torsion fugacity and the number ofâ€¦ (More)

Abstract We consider a self-avoiding walk confined between two parallel planes (or lines), with an energy term associated with each vertex of the walk in the confining planes. We allow the energyâ€¦ (More)

We consider the number of embeddings of k p-spheres in Z d , with p +2 d 2p+1, stratiied by the p-dimensional volumes of the spheres. We show for p + 2 < d that the number of embeddings of a xed linkâ€¦ (More)