Computer studies of a phase transition of icosahedral quasicrystals
In this paper, we present results of Monte Carlo simulations of icosahedral quasicrystals, which investigate the structural change from a Penrose-like phase to a random tiling phase. We demonstrate a finite temperature transition (kBTc= 1 .52+-0.05 in units of mismatch energies), which implies that equilibrium quasicrystalline materials can be energetically stabilized at finite temperature and can undergo a transition to a random tiling phase at high temperature. The structural change characterized by "sheet" statistics and "sheet magnetization" is illustrated. Dynamic phasons are locked below Tc.