17 citations · 84 across the 13 of their papers we have counts for
11 papers · 1 filter
Efimov-DNA Phase diagram: three stranded DNA on a cubic lattice
Somendra M. Bhattacharjee, Damien Paul Foster
We define a generalised model for three-stranded DNA consisting of two chains of one type and a third chain of a different type. The DNA strands are modelled by random walks on the…
Critical Behaviour of Magnetic Polymers in Two and Three Dimensions
Damien Paul Foster, Debjyoti Majumdar
We explore the critical behaviour of two and three dimensional lattice models of polymers in dilute solution where the monomers carry a magnetic moment which interacts ferromagneti…
Surface critical behaviour of the vertex-interacting self-avoiding walk on the square lattice
Damien P. Foster, Claire Pinettes
The phase diagram and surface critical behaviour of the vertex-interacting self-avoiding walk are examined using transfer matrix methods extended using DMRG and coupled with finite…
Generalised interacting self-avoiding trails on the square lattice: phase diagram and critical behaviour
Damien P. Foster
A generalised model for interacting self-avoiding trails on the square lattice is presented and studied using numerical transfer matrix methods. The model differentiates between on…
Surface critical behaviour of the Interacting Self-Avoiding Trail on the square lattice
Damien P Foster
The surface critical behaviour of the interacting self-avoiding trail is examined using transfer matrix methods coupled with finite-size scaling. Particular attention is paid to th…
Bethe approximation for a DNA-like self-avoiding walk model with variable solvent quality
D P Foster, C Pinettes
The phase diagram and critical behaviour of a simple toy model for DNA zipping/unzipping is examined in the framework of the Bethe approximation. The effects of solvent quality are…
Bethe approximation for the hydrogen-bonding self-avoiding walk in a solvent
D. P. Foster, M. Aniambossou
A square-lattice model for the formation of secondary structures in proteins, the hydrogen-bonding model, extended to include the effects of solvent quality, is examined in the fra…
The statistical mechanics of the two-dimensional hydrogen-bonding self-avoiding walk including solvent effects
D P Foster, C Pinettes
A two-dimensional square-lattice model for the formation of secondary structures in proteins, the hydrogen-bonding model, is extended to include the effects of solvent quality. Thi…
Critical behaviour of the bond-interacting self-avoiding walk
Damien Foster
The phase diagram for the bond-interacting self-avoiding walk is calculated using transfer matrices on finite strips. The model is shown to have a richer phase diagram than the rel…
The ferro/antiferromagnetic q-state Potts model
D P Foster, C Gerard
The critical properties of the mixed ferro/antiferromagnetic q-state Potts model on the square lattice are investigated using the numerical transfer matrix technique. The transitio…
Gas of self-avoiding loops on the brickwork lattice
F. Eghbal, D. Foster, H. Orland
An exact calculation of the phase diagram for a loop gas model on the brickwork lattice is presented. The model includes a bending energy. In the dense limit, where all the lattice…