Aperiodicity in Equilibrium Systems: Between Order and Disorder

• Authors: A. van Enter
• Languages of publication: EN

Abstracts

EN

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.

Keywords

EN

05.70.Fh; 61.44.Br; 02.50.Ey

Discipline

• 02.50.Ey: Stochastic processes
• 05.70.Fh: Phase transitions: general studies(see also 05.30.Rt Quantum phase transitions in quantum statistical mechanics; 64.70.Tg Quantum phase transitions in specific phase transitions; 73.43.Nq Quantum phase transitions in quantum Hall effects; for superconductivity phase diagrams, see 74.25.Dw; for magnetic phase boundaries, see 75.30.Kz; for ferroelectric phase transitions, see 77.80.B-)
• 61.44.Br: Quasicrystals

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2014
• Volume: 126
• Issue: 2
• Pages: 621-624

Dates

published

2014-08

Contributors

author

A. 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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Identifiers

DOI

10.12693/APhysPolA.126.621