Abstract
The representation of aperiodic, globally ordered, structures by means of hyperlattices is utilized in a general theory of random spatial processes to obtain an extended structural diffusion model of disordered systems. Two characteristic parameters of the model, determining the spatial rate of decay of coherence between local structures, lead to a distinction between two extreme types of disordered systems: (1) normal liquids and glasses and (2) disordered quasicrystals whose bond orientations and lengths are preserved over macroscopic distances. A continuous range of disordered phases exists between the two extremes. With a proper choice of the local structure, the model offers a concise description of pair distributions and structure factors of condensed disordered phases.
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