5 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…
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…