Thermodynamic behavior of a Penrose-tiling quasicrystal

Journal Article · Wed Jan 31 23:00:00 EST 1990 · Physical Review, B: Condensed Matter; (USA)

DOI:https://doi.org/10.1103/PhysRevB.41.2469· OSTI ID:6895463

Strandburg, K J; Dressel, P R ^[1]

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1. Materials Science Division, Argonne National Laboratory, Argonne, Illinois 60439 (US)

The Penrose tiling provides a prototype for the quasiperiodic crystal model of quasicrystals. We report results of Monte Carlo simulations of a two-dimensional model in which a Penrose tiling is the ground state. A single energy is assigned to any violation of the Penrose matching rules. Our results support the existence of two separate phase transitions, corresponding to single- and double-arrow matching-rule disorder, respectively. Manifestations of these transitions in the behavior of perpendicular-space'' quantities are explored. A limited exploration of the effects of unequal double- and single-arrow matching-rule-violation energies is performed. Speculations that the Penrose pattern might be inherently prone to glassy behavior are shown to be incorrect.

• OSTI ID: 6895463
• Journal Information: Physical Review, B: Condensed Matter; (USA), Journal Name: Physical Review, B: Condensed Matter; (USA) Vol. 41:4; ISSN 0163-1829; ISSN PRBMD
• Country of Publication: United States
• Language: English

Related Subjects

656002* -- Condensed Matter Physics-- General Techniques in Condensed Matter-- (1987-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CRYSTAL MODELS
DISTANCE
GLASS
INTERACTION RANGE
MATHEMATICAL MODELS
MONTE CARLO METHOD
ORDER-DISORDER TRANSFORMATIONS
PHASE TRANSFORMATIONS
TWO-DIMENSIONAL CALCULATIONS