All Outputs (3)

Shape of transition layers in a differential--delay equation (2017)
Journal Article
Wattis, J. A. (in press). Shape of transition layers in a differential--delay equation. IMA Journal of Applied Mathematics, https://doi.org/10.1093/imamat/hxx011

We use asymptotic techniques to describe the bifurcation from steady-state to a periodic solution in the singularly perturbed delayed logistic equation εx˙(t) = −x(t)+ λ f(x(t − 1)) with ε ≪ 1. The solution has the form of plateaus of approximatel... Read More about Shape of transition layers in a differential--delay equation.

Monte Carlo simulation of single-chain square-well homopolymers (2017)
Journal Article
Wicks, T. J., Wattis, J. A., & Graham, R. (2018). Monte Carlo simulation of single-chain square-well homopolymers. Manuscript submitted for publication

We present Monte Carlo simulations of the crystallisation transition of single-chain square-well homopolymers. We combine parallel tempering with a non-standard choice of tempering levels, a bespoke biasing strategy and a method to map results betwe... Read More about Monte Carlo simulation of single-chain square-well homopolymers.

Band-gaps in long Josephson junctions with periodic phase-shifts (2017)
Journal Article
Ahmad, S., Susanto, H., & Wattis, J. A. (2017). Band-gaps in long Josephson junctions with periodic phase-shifts. Physics Letters A, 381(13), https://doi.org/10.1016/j.physleta.2017.01.062

We investigate analytically and numerically a long Josephson junction on an infnite domain, having arbitrary periodic phase shift of k, that is, the so-called 0-k long Josephson junction. The system is described by a one-dimensional sine-Gordon equat... Read More about Band-gaps in long Josephson junctions with periodic phase-shifts.