COMPUTER STUDIES OF A PHASE-TRANSITION OF ICOSAHEDRAL QUASI-CRYSTALS

In this paper, we present results of Monte Carlo simulations of icosah edral quasicrystals, which investigate the structural change from a Pe nrose-like phase to a random tiling phase. We demonstrate a finite tem perature transition (k(B) T(c) = 1.52 +/- 0.05 in units of mismatch en ergies), which implies that equilibrium quasicrystalline materials can be energetically stabilized at finite temperature and can undergo a t ransition to a random tiling phase at high temperature. The structural change characterized by ''sheet'' statistics and ''sheet magnetizatio n'' is illustrated. Dynamic phasons are locked below T(c).