Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2010-09-03
Physics
Condensed Matter
Soft Condensed Matter
17 pages, submitted to Phys. Rev. E
Scientific paper
We perform a comparative study of the free energies and the density distributions in hard sphere crystals using Monte Carlo simulations and density functional theory (employing Fundamental Measure functionals). Using a recently introduced technique (Schilling and Schmid, J. Chem. Phys 131, 231102 (2009)) we obtain crystal free energies to a high precision. The free energies from Fundamental Measure theory are in good agreement with the simulation results and demonstrate the applicability of these functionals to the treatment of other problems involving crystallization. The agreement between FMT and simulations on the level of the free energies is also reflected in the density distributions around single lattice sites. Overall, the peak widths and anisotropy signs for different lattice directions agree, however, it is found that Fundamental Measure theory gives slightly narrower peaks with more anisotropy than seen in the simulations. Among the three types of Fundamental Measure functionals studied, only the White Bear II functional (Hansen-Goos and Roth, J. Phys.: Condens. Matter 18, 8413 (2006)) exhibits sensible results for the equilibrium vacancy concentration and a physical behavior of the chemical potential in crystals constrained by a fixed vacancy concentration.
Goerig S.
Haertel A.
Loewen Hartmut
Oettel Martin
Radu Marc
No associations
LandOfFree
Free energies, vacancy concentrations and density distribution anisotropies in hard--sphere crystals: A combined density functional and simulation study does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Free energies, vacancy concentrations and density distribution anisotropies in hard--sphere crystals: A combined density functional and simulation study, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Free energies, vacancy concentrations and density distribution anisotropies in hard--sphere crystals: A combined density functional and simulation study will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-684618