4 papers · 1 filter
Random tiling quasicrystals in three dimensions
W. Ebinger, J. Roth, H. -R. Trebin
Three-dimensional icosahedral random tilings with rhombohedral cells are studied in the semi-entropic model. We introduce a global energy measure defined by the variance of the qua…
Random Tiling Transition in Three Dimensions
W. Ebinger, J. Roth, H. -R. Trebin
Three-dimensional icosahedral random tilings are studied in the semi-entropic model. We introduce a global energy measure defined by the variance of the quasilattice points in orth…
Icosahedral coincidence rotations
Johannes Roth, Reinhard Lück
The coincidence problem for three-dimensional discrete structures with icosahedral symmetry is reinvestigated. We present a parametric description of the coincidence rotations base…
Atomic Self-Diffusion in Quasicrystals: A Molecular Dynamics Study
Johannes Roth, Franz Gaehler
We present a molecular dynamics study on atomic self-diffusion in Frank-Kasper type dodecagonal quasicrystals. It is found that the quasicrystal-specific flip mechanism for atomic…