6 papers
Singularities in phase separation models: a spectral element approach for the nonlocal Cahn-Hilliard equation
Andrés Miniguano-Trujillo, Andrea Poiatti, Maurizio Grasselli +2
The nonlocal Cahn-Hilliard equation provides a natural extension of the classical model for phase separation by incorporating long-range interactions through a singular convolution…
Critical coupling thresholds for tilted Kuramoto-Vicsek models with a confining potential
Benedetta Bertoli, Benjamin D. Goddard, Grigorios A. Pavliotis
We study a Kuramoto-Vicsek model of self-propelled particles with periodic boundary conditions subject to a constant angular tilt and a confining potential, and its mean-field (Fok…
Interactions between droplets in immiscible liquid suspensions and the influence of surfactants
A. J. Archer, D. N. Sibley, B. D. Goddard
We develop a general method for determining the effective interaction potential between two or more droplets suspended within a fluid phase. Our approach is based on classical dens…
Classical density functional theory for nanoparticle-laden droplets
Melih Gül, Andrew J Archer, Benjamin D Goddard +1
Droplets of a pure fluid, such as water, in an open container surrounded by gas, are thermodynamically unstable and evaporate quickly. In a recent paper [Archer et al. J. Chem. Phy…
Stability of stationary states for mean field models with multichromatic interaction potentials
Benedetta Bertoli, Benjamin D. Goddard, Grigorios A. Pavliotis
We consider weakly interacting diffusions on the torus, for multichromatic interaction potentials. We consider interaction potentials that are not H-stable, leading to phase transi…
Coexisting multiphase and interfacial behaviour of ouzo
David N. Sibley, Benjamin D. Goddard, Fouzia F. Ouali +2
Multi-component liquid mixtures can be both complex and fascinating, with some systems being amenable to simple experimentation at home, giving valuable insight into fundamental as…