44 citations · 91 across the 12 of their papers we have counts for
12 papers
Lattice Tadpoles
S G Whittington
We prove several rigorous results about the asymptotic behaviour of the numbers of tadpoles (or lassos) embedded in a lattice, including cases where the head is subject to a constr…
Mixing, segregation, and collapse transitions of interacting copolymer rings
EJ Janse van Rensburg, E Orlandini, MC Tesi +1
A system of two self and mutual interacting ring polymers, close together in space, can display several competing equilibrium phases and phase transitions. Using Monte Carlo simula…
Exponential growth rate of lattice comb polymers
EJ Janse van Rensburg, SG Whittington
We investigate a lattice model of comb polymers and derive bounds on the exponential growth rate of the number of embeddings of the comb. A comb is composed of a backbone that is a…
Force-induced desorption of copolymeric comb polymers
EJ Janse van Rensburg, CE Soteros, SG Whittington
We investigate a lattice model of comb copolymers that can adsorb at a surface and that are subject to a force causing desorption. The teeth and the backbone of the comb are chemic…
Self-avoiding walks and polygons confined to a square
S G Whittington
We prove several rigorous results about the asymptotic behaviour of the numbers of polygons and self-avoiding walks confined to a square on the square lattice. Specifically we prov…
Thermodynamic and topological properties of copolymer rings with a segregation/mixing transition
EJ Janse van Rensburg, E Orlandini, MC Tesi +1
Two ring polymers close to each other in space may be either in a segregated phase if there is a strong repulsion between monomers in the polymers, or intermingle in a mixed phase…