Elasticity of a polydisperse hard-sphere crystal
arXiv:0806.3123 · doi:10.1103/PhysRevE.78.011404
Abstract
A general Monte Carlo simulation method of calculating the elastic constants of polydisperse hard-sphere colloidal crystal was developed. The elastic constants of a size polydisperse hard sphere fcc crystal is calculated. The pressure and three elastic constants(C11, C12 and C44) increase significantly with the polydispersity. It was also found from extrapolation that there is a mechanical terminal polydispersity above which a fcc crystal will be mechanically unstable.
17 pages, 3 figures
References in corpus (11)
- An efficient, multiple range random walk algorithm to calculate the density of states
- Multicanonical Ensemble: A New Approach to Simulate First-order Phase Transitions
- Determining the density of states for classical statistical models: A random walk algorithm to produce a flat histogram
- Transition Matrix Monte Carlo Method
- Equilibrium phase behavior of polydisperse hard spheres
- Elastic constants from microscopic strain fluctuations
- Large difference in the elastic properties of fcc and hcp hard-sphere crystals
- Equilibrium glassy phase in a polydisperse hard sphere system
- Grand canonical ensemble simulation studies of polydisperse fluids
- A non-equilibrium Monte Carlo approach to potential refinement in inverse problems
- Effect of polydispersity on the relative stability of hard-sphere crystals