Entropically stabilized quasicrystals are usually modeled as equilibrium ensembles of random tilings although the corresponding kinetics may be very slow. In a recently published model we showed how to circumvent this problem by a growth process with reversible dynamics. In the limit of vanishing growth velocity the grown samples are representative of the equilibrium ensemble. Here, we consider bulk and surface properties of this model, an annealing procedure that heals tears, as well as the extension to other symmetries.

• Received 1 May 1998

DOI:https://doi.org/10.1103/PhysRevB.58.8347