6 papers
Exploring Critical Points of Energy Landscapes: From Low-Dimensional Examples to Phase Field Crystal PDEs
Priya Subramanian, Ioannis G. Kevrekidis, Panayotis G. Kevrekidis
In the present work we explore the application of a few root-finding methods to a series of prototypical examples. The methods we consider include: (a) the so-called continuous-tim…
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…
Invariant states in inclined layer convection. Part 2. Bifurcations and connections between branches of invariant states
Florian Reetz, Priya Subramanian, Tobias M. Schneider
Convection in a layer inclined against gravity is a thermally driven non-equilibrium system, in which both buoyancy and shear forces drive spatio-temporally complex flow. As a func…
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…
Structural crossover in a model fluid exhibiting two length scales: repercussions for quasicrystal formation
M. C. Walters, P. Subramanian, A. J. Archer +1
We investigate the liquid state structure of the two-dimensional (2D) model introduced by Barkan et al. [Phys. Rev. Lett. 113, 098304 (2014)], which exhibits quasicrystalline and o…