4 papers
Genuine Nonlinearity and its Connection to the Modified Korteweg - de Vries Equation in Phase Dynamics
Daniel James Ratliff
The study of hyperbolic waves involves various notions which help characterise how these structures evolve. One important facet is the notion of \emph{genuine nonlinearity}, namely…
Spatiotemporal chaos and quasipatterns in coupled reaction-diffusion systems
Jennifer K. Castelino, Daniel J. Ratliff, Alastair M. Rucklidge +2
In coupled reaction-diffusion systems, modes with two different length scales can interact to produce a wide variety of spatiotemporal patterns. Three-wave interactions between the…
Deriving phase field crystal theory from dynamical density functional theory: consequences of the approximations
Andrew J. Archer, Daniel J. Ratliff, Alastair M. Rucklidge +1
Phase field crystal (PFC) theory, extensively used for modelling the structure of solids, can be derived from dynamical density functional theory (DDFT) via a sequence of approxima…
Which wavenumbers determine the thermodynamic stability of soft matter quasicrystals?
D. J. Ratliff, A. J. Archer, P. Subramanian +1
For soft matter to form quasicrystals an important ingredient is to have two characteristic lengthscales in the interparticle interactions. To be more precise, for stable quasicrys…