Modelling Quasicrystal Growth
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.
Cite
@article{arxiv.cond-mat/9903074,
title = {Modelling Quasicrystal Growth},
author = {Uwe Grimm and Dieter Joseph},
journal= {arXiv preprint arXiv:cond-mat/9903074},
year = {2007}
}
Comments
21 pages, 9 figures: tutorial review presented at a summer school on quasicrystals in Chemnitz 1997; will eventually be published in a book called "Quasicrystals" which unfortunately grows even slower than the patterns discussed in this review; see also math-ph/9901014 and cond-mat/9903010