2013•Comptes Rendus PhysiqueOpen access

Dynamics of quasicrystals

Τ. Janssen, M. de Boissieu

Abstract

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.

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Key concepts: Aperiodic graph, Quasicrystal, Physics, Context (archaeology), Lattice (music), Condensed matter physics, Combinatorics, Mathematics