Dynamics of quasicrystals

Ted Janssen; Marc de Boissieu

doi:10.1016/j.crhy.2013.09.011

Quasicrystals / Quasicristaux

Dynamics of quasicrystals
[Dynamique des quasicristaux]

Ted Janssen ¹ ; Marc de Boissieu ²

¹ Theoretical Physics, University of Nijmegen, Nijmegen, The Netherlands
² SIMaP Grenoble, INP, CNRS, UJF, 1130, rue de la Piscine, BP 75, 38402 Saint-Martin-dʼHères cedex, France

Comptes Rendus. Physique, Volume 15 (2014) no. 1, pp. 58-69.

Résumé
Abstract

La dynamique de réseau des quasicristaux diffère de celle des structures avec periodicité de réseau sur un certain nombre de points. Ils partagent cette propriété avec dʼautres structures apériodiques. La dynamique des quasicristaux est discutée dans le contexte de ces structures apériodiques en général, mais les aspects spécifiques des quasicristaux sont soulignés. La dynamique de réseau est assez bien comprise maintenant. Un aspect particulier des excitations des structures apériodiques est lié à la possibilité de décrire ces systèmes dans un superespace. Ces excitations « phasons » sont discutées spécifiquement.

The (lattice) dynamics of quasicrystals differs in many aspects from that of lattice periodic systems. This they have in common with other aperiodic crystals. The dynamics of quasicrystals is discussed here in the context of these general aperiodic crystals, but the special features of quasicrystals are stressed. The lattice dynamics is now fairly well understood. Especially for aperiodic crystals, there are excitations related to the possibility to describe the systems in superspace. These ‘phasons’ are discussed in particular.

DOI : 10.1016/j.crhy.2013.09.011

Keywords: Quasicrystal, Dynamics, Phasons
Mot clés : Quasicristal, Dynamique, Phasons

Affiliations des auteurs :

Ted Janssen ¹ ; Marc de Boissieu ²

¹ Theoretical Physics, University of Nijmegen, Nijmegen, The Netherlands
² SIMaP Grenoble, INP, CNRS, UJF, 1130, rue de la Piscine, BP 75, 38402 Saint-Martin-dʼHères cedex, France

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Ted Janssen; Marc de Boissieu. Dynamics of quasicrystals. Comptes Rendus. Physique, Volume 15 (2014) no. 1, pp. 58-69. doi : 10.1016/j.crhy.2013.09.011. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2013.09.011/

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