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Hydrodynamic structure factor for two‐dimensional decagonal quasicrystals
Author(s) -
Chatzopoulos Andreas,
Trebin HansRainer,
Ishii Yasushi
Publication year - 2013
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.201248275
Subject(s) - phason , quasicrystal , condensed matter physics , anisotropy , physics , structure factor , diffusion , domain (mathematical analysis) , constant (computer programming) , frequency domain , coupling (piping) , materials science , mathematics , mathematical analysis , optics , thermodynamics , computer science , programming language , metallurgy
The dynamic and static structure factors for two‐dimensional decagonal quasicrystals (QCs) are calculated based on the hydrodynamic model. Explicit formulae with algebraic decay, which is characteristic in lower dimensions, are obtained. The sound‐wave and diffusive‐mode contributions are analyzed separately. It is shown that the phonon–phason coupling yields the characteristic anisotropy in the structure factors. If one assumes the phasonic diffusion constant of the order of magnitude typical for metallic QCs, however, the phasonic contribution is expected only at very small frequencies and hence more likely to be observed in the time domain than in the frequency domain.