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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 A or B randomly and independently. The two liquid phases are represented by the two half-spaces z > 0 and z < 0, and the plane z = 0 corresponds to the interfaceâ€¦ (More)

We report on a Monte Carlo study of so-called two-choice-spiral self-avoiding walks on the square lattice. These have the property that their geometric size (such as is measured by the radius of gyration) scales anisotropically, with exponent values that seem to defy rational fraction conjectures. This polymer model was previously understood to be in aâ€¦ (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 link type of k equivolume p-spheres grows with increasing p-dimensional volume at an exponential rate which is independent of the link type. For d = p +2 we deriveâ€¦ (More)

- C. E. Soteros, Michael Szafron
- Biochemical Society transactions
- 2013

By performing strand-passages on DNA, typeÂ II topoisomerases are known to resolve topological constraints that impede normal cellular functions. The full details of this enzyme-DNA interaction mechanism are, however, not completely understood. To better understand this mechanism, researchers have proposed and studied a variety of random polygon models ofâ€¦ (More)

- S. G. Whittington, C. E. Soteros, Esaias J. Janse van Rensburg
- Computers & Chemistry
- 1990

- C. E. Soteros
- 2007

The probability that an embedding of a graph in Z 3 is knotted is investigated. For any given graph (embeddable in Z 3) without cut edges, it is shown that this probability approaches 1 at an exponential rate as the number of edges in the embedding goes to innnity. Furthermore, at least for a subset of these graphs, the rate at which the probabilityâ€¦ (More)

- C. E. Soteros
- 2007

Polymers in dilute solution are expected to collapse from expanded to compact structures as either solvent quality or temperature is reduced. This collapse phase transition can be modelled using a lattice animal model which includes both monomer-solvent molecule interactions and monomer-monomer interactions. We discuss a Monte Carlo algorithm developed byâ€¦ (More)

- Rachel Kuske, David Lyder, Jonathan C. Samuel, C. E. Soteros, David Wolfe
- 2007

Eggs are natural objects that possess very complex surfaces, namely their shells, characterized by such features as pinholes, \starry nights", cage marks or thin shells, stretch marks, strains or discolouration, as well as internal aws such as blood in the yolks, etc. At present the candling of eggs for these features is done by two means: 1] Manual, whichâ€¦ (More)

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