116 citations · 391 across the 18 of their papers we have counts for
18 papers
Dense Packing of Tetrahedra in Cylinders
Gabrielle N. Jones, Adil Mughal, Philipp W. A. Schönhöfer +1
We present the first systematic investigation of regular tetrahedra densely packed within a circular cylinder. Combining numerical simulations with exact analytical theory, we clas…
Equilibrium configurations of hard spheres in a cylindrical harmonic potential
Jens Winkelmann, Adil Mughal, Denis Weaire +1
A line of hard spheres confined by a transverse harmonic potential, with hard walls at its ends, exhibits a variety of buckled structures as it is compressed longitudinally. Here w…
Homogeneous and heterogeneous populations of active rods in two-dimensional channels
Vladimir Khodygo, Martin T. Swain, Adil Mughal
Active swarms, consisting of individual agents which consume energy to move or produce work, are known to generate a diverse range of collective behaviors. Many examples of active…
Demonstration and interpretation of "scutoid" cells in a quasi-2D soap froth
A. Mughal, S. J. Cox, D. Weaire +2
Recently a novel type of epithelial cell has been discovered and dubbed the "scutoid". It is induced by curvature of the bounding surfaces. We show by simulations and experiments t…
Theory of rotational columnar structures of soft spheres
Jens Winkelmann, Adil Mughal, David B. Williams +2
There is a growing interest in cylindrical structures of hard and soft particles. A promising new method to assemble such structures has recently been introduced by Lee et al. [T.…
Columnar structures of soft spheres: Metastability and hysteresis
Adil Mughal, Jens Winkelmann, Denis Weaire +1
Previously we reported on the stable (i.e. minimal enthalpy) structures of soft monodisperse spheres in a long cylindrical channel. Here, we present further simulations, which sign…
Simulation and observation of line-slip structures in columnar structures of soft spheres
Jens Winkelmann, Benjamin Haffner, Denis Weaire +2
We present the computed phase diagram of columnar structures of soft spheres under pressure, of which the main feature is the appearance and disappearance of line slips, the sheari…
How bees and foams respond to curved confinement: level set boundary representations in the Surface Evolver
Adil Mughal, Tomas Libertiny, Gerd Schroeder-Turk
We present a Surface Evolver framework for simulating single bubbles and multicellular foams trapped between curved parallel surfaces. We are able to explore a range of geometries…
Curvature driven motion of soap cells in toroidal Hele-Shaw cells
A. Mughal, S. J. Cox, G. E. Schroeder-Turk
We investigate the equilibrium properties of a single area-minimising bubble trapped between two narrowly-separated parallel curved plates. We begin with the simple case of a a bub…
Phyllotaxis, disk packing and Fibonacci numbers
Adil Mughal, Denis Weaire
We consider the evolution of the packing of disks (representing the position of buds) that are introduced at the top of a surface which has the form of a growing stem. They migrate…
Theory of cylindrical dense packings of disks
Adil Mughal, Denis Weaire
We have previously explored cylindrical packings of disks and their relation to sphere packings. Here we extend the analytical treatment of disk packings, analysing the rules for p…
Packing of softly repulsive particles in a spherical box - a generalised Thomson problem
A. Mughal
We study the (near or close to) ground state distribution of N softly repelling particles trapped in the interior of a spherical box. The charges mutually interact via an inverse p…
Compaction of cereal grain
J. Wychowaniec, I. Griffiths, A. Gay +1
We report on simple shaking experiments to measure the compaction of a column of Firth oat grain. Such grains are elongated anisotropic particles with a bimodal polydispersity. In…
Screw symmetry in columnar crystals
A. Mughal
We show that the optimal packing of hard spheres in an infinitely long cylinder yields structures characterised by a screw symmetry. Each packing can be assembled by stacking a bas…
Dense packings of spheres in cylinders I. Simulations
A. Mughal, H. K. Chan, D. Weaire +1
We study the optimal packing of hard spheres in an infinitely long cylinder, using simulated annealing, and compare our results with the analogous problem of packing disks on the u…
Phyllotactic description of hard sphere packing in cylindrical channels
Adil Mughal, Ho Kei Chan, Denis Weaire
We develop a simple analytical theory that relates dense sphere packings in a cylinder to corresponding disk packings on its surface. It applies for ratios R=D/d (where d and D are…
Curvature in conformal mappings of 2D lattices and foam structure
A. Mughal, D. Weaire
The elegant properties of conformal mappings, when applied to two dimensional (2D) lattices, find interesting applications in 2D foams and other cellular or close packed structures…
Topological defects in the crystalline state of one-component plasmas of non-uniform density
A. Mughal, M. A. Moore
We study the ground state properties of classical Coulomb charges interacting with a 1/r potential moving on a plane but confined either by a circular hard wall boundary or by a ha…