1 citations · 1 across the 4 of their papers we have counts for
4 papers
Exact lattice summations for Lennard-Jones potentials coupled to a three-body Axilrod-Teller-Muto term applied to cuboidal phase transitions
Andres Robles-Navarro, Shaun Cooper, Andreas A. Buchheit +4
This work provides a rigorous analysis of Bain-type cuboidal lattice transformations, which connect the face-centered cubic (fcc), mean-centered cubic (mcc), body-centered cubic (b…
Exploring the mechanism of phase transitions between the hexagonal close-packed and the cuboidal structures
Andres Robles-Navarro, Shaun Cooper, Odile R. Smits +1
By introducing appropriate lattice parameters for a bi-lattice smoothly connecting the hexagonal close-packed (hcp) with the cuboidal structures, namely the body-centered (bcc) and…
A Minimum Property for Cuboidal Lattice Sums
Shaun Cooper, Peter Schwerdtfeger
We analyse a family of lattices considered by Conway and Sloane and show that the corresponding Epstein zeta function attains a local minimum for the body-centred cubic lattice.
Lattice Instabilities Along the Transformation from Hexagonal to Cuboidal Structures in Hard- and Soft-Sphere Models
Andres Robles-Navarro, Shaun Cooper, Andreas W. Hauser +3
The diffusionless Burgers-Bain phase transition from a hcp arrangement to a cuboidal lattice (fcc and bcc) is analysed in great detail for Lennard-Jones solids. From the lattice ve…