Aperiodicity in Equilibrium Systems: Between Order and Disorder |
| A.C.D. van Enter
Johann Bernoulli Institute for Mathematics and Computer Science, University of Groningen, P.O. Box 407, 9700 AK Groningen, The Netherlands |
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| Spatial aperiodicity occurs in various models and materials. Although today the most well-known examples occur in the area of quasicrystals, other applications might also be of interest. Here we discuss some issues related to the notion and occurrence of aperiodic order in equilibrium statistical mechanics. In particular, we consider some spectral characterisations, and shortly review what is known about the occurrence of aperiodic order in lattice models at zero and nonzero temperatures. At the end some more speculative connections to the theory of (spin-)glasses are indicated. |
DOI: 10.12693/APhysPolA.126.621 PACS numbers: 05.70.Fh, 61.44.Br, 02.50.Ey |