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Modelling Quasicrystal Growth

Uwe Grimm·Dieter Joseph
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Abstract

Understanding the growth of quasicrystals poses a challenging problem, not the least because the quasiperiodic order present in idealized mathematical models of quasicrystals prohibit simple local growth algorithms. This can only be circumvented by allowing for some degree of disorder, which of course is always present in real quasicrystalline samples. In this review, we give an overview of the present state of theoretical research, addressing the problems, the different approaches and the results obtained so far.

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Uwe Grimm, Dieter Joseph. 1999-03-04. Modelling Quasicrystal Growth. https://arxiv.org/abs/cond-mat/9903074

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