Electronic Resource
Springer
Letters in mathematical physics
36 (1996), S. 291-300
ISSN:
1573-0530
Keywords:
20H15
;
82D25
;
43A40
;
quasicrystals
;
Meyer's theory of harmonious sets
;
ideal local configuration
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Physics
Notes:
Abstract We present a new general mechanism for a dynamical generation (growth) of quasicrystals (and crystals) in any dimension. The growth process proceeds in elementary steps starting from a chosen seed and the notion of an ideal local configuration. Each step is governed by local information inside of the physical space of the quasicrystal: A point is added to existing quasicrystal points only if its locally defined phase matches at that point a freely chosen continuous phase (gauge) in the quasicrystal space within a given precision. Some 2D examples are shown.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00943281
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