67 citations · 356 across the 24 of their papers we have counts for
4 papers · 1 filter
A constant of motion for ideal grain growth in three dimensions
Erdem Eren, Jeremy Kyle Mason
Most metallic and ceramic materials are comprised of a space-filling collection of crystalline grains separated by grain boundaries. While this grain structure has been studied for…
Configuration spaces of hard spheres
O. B. Ericok, K. Ganesan, J. K. Mason
Hard sphere systems are often used to model simple fluids. The configuration spaces of hard spheres in a three-dimensional torus modulo various symmetry groups are comparatively si…
Topological transitions during grain growth on a finite element mesh
Erdem Eren, Jeremy K. Mason
The topological transitions that occur to the grain boundary network during grain growth in a material with uniform grain boundary energies are believed to be known. The same is no…
Quotient Maps and Configuration Spaces of Hard Disks
O. B. Ericok, J. K. Mason
Hard disks systems are often considered as prototypes for simple fluids. In a statistical mechanics context, the hard disk configuration space is generally quotiented by the action…