On the problem of the relation between phason elasticity and phason dynamics in quasicrystals

@article{Coddens2006OnTP,
  title={On the problem of the relation between phason elasticity and phason dynamics in quasicrystals},
  author={G. Coddens},
  journal={The European Physical Journal B - Condensed Matter and Complex Systems},
  year={2006},
  volume={54},
  pages={37-65}
}
  • G. Coddens
  • Published 2006
  • Physics
  • The European Physical Journal B - Condensed Matter and Complex Systems
Abstract.It has recently been claimed that the dynamics of long-wavelength phason fluctuations has been observed in i-AlPdMn quasicrystals [S. Francoual et al. Phys. Rev. Lett. 91, 225501 (2003); A. Létoublon et al. 54, 753 (2001)]. We will show that the data reported call for a more detailed development of the elasticity theory of Jarić and Nelsson [M.V. Jarić and D.R. Nelsson, Phys. Rev. B 37, 4458 (1988)] in order to determine the nature of small phonon-like atomic displacements with a… Expand
A note on the thermo-mechanics of elastic quasi-crystals
In recent years, many papers have been published concerning the elasticity of quasi-crystals. The present study has for main purpose to replace the proposed formulations into the framework of theExpand
Wave propagation of phonon and phason displacement modes in quasicrystals: Determination of wave parameters
The paper presents the study of wave propagation in quasicrystals. Our interest is in the computation of the wavenumber (k(n)) and group speed (c(g)) of the phonon and phason displacement modes ofExpand
18 Elasto-Hydrodynamics of Quasicrystals and Its Applications
phason coupling one, respectively. It is evident that the appearance of the new degree freedom yields a great challenge to the continuum mechanics. In the dynamic process of quasicrystals problemExpand
Elasto-Hydrodynamics of Quasicrystals and Its Applications
phason coupling one, respectively. It is evident that the appearance of the new degree freedom yields a great challenge to the continuum mechanics. In the dynamic process of quasicrystals problemExpand
Iron dynamics in Al-Cu-Fe quasicrystals and approximants: Mössbauer and neutron experiments.
TLDR
It is shown that in the i-phase the Fe Lamb-Mössbauer recoilless fraction decreases below that predicted for lattice vibrations alone for temperatures above about 550 K, and locally a Penrose tile description is appropriate, which shows that the detected Fe jumps can be interpreted in terms of phason-like local tiling flips. Expand
Elasto-Dynamics of Quasicrystals
A review on elasto-dynamics of quasicrystals (QCs) and their applications based on mathematical elasticity is given. In this study, recent studies on elasto-dynamics of QCs are reviewed, in which theExpand
Dynamic response of an icosahedral quasi-crystalline medium with a Griffith crack under mechanical loadings
Elastodynamic response of three-dimensional icosahedral quasi-crystals under mechanical loadings is presented in this article. Two kinds of cases are considered here, in which the plane problem andExpand
Defects in Static Elasticity of Quasicrystals
A review on mathematical elasticity of quasicrystals is given. In this review, the focus is on various defects of quasicrystals. Dislocation and crack are two classes of typical topological defects,Expand
Boundary Value Problems of Potential Functions in Decagonal Quasicrystals
A unified form of potential functions in decagonal quasicrystals (QCs) and conformal mappings are applied in a novel way to solve the boundary value problems emanating from the generalized theory ofExpand
Phason self-actions in quasicrystals
Abstract On the basis of first invariance principles, we discuss reasons for claiming, within continuum mechanics of quasicrystals, the existence of a phason self-action with both conservative andExpand
...
1
2
...

References

SHOWING 1-10 OF 29 REFERENCES
Coherent quasielastic neutron scattering and correlations between rotational jumps of molecules on a periodic lattice
Abstract:We previously [Coddens, Phys. Rev. 63, 064105 (2001)] derived a theorem about the coherent quasielastic neutron-scattering signal from a d-dimensional lattice of N molecules that areExpand
Evidence for Phason Hopping in Icosahedral AlFeCu Quasi-Crystals
By means of time-of-flight inelastic neutron scattering we have studied two samples with nominal compositions Al62Cu25.5Fe12.5 (perfect sample) and Al63Cu24.5Fe12.5 (imperfect sample). The former isExpand
The quasicrystal-to-crystal transformation. I. Geometrical principles
A geometrical model of the quasicrystal-to-crystal transformation is discussed on atomic scale. The central idea is to describe a quasiperiodic structure as a special type of incommensuratelyExpand
Coherency of phason dynamics in Fibonacci chains
The effects of phason disorder on the dynamical structure factor of Fibonacci chains are studied, and the existence of a coherent phason field in real quasicrystals is addressed. TheExpand
The theory of fluctuations and texture embryos in structural phase transitions mediated by strain
Structural phase transitions are considered in which the effective ordering interaction J(Rij) arises from local stresses induced by the ordering in cell i and propagated elastically to a distantExpand
Dynamics of phason fluctuations in the i-AlPdMn quasicrystal.
TLDR
It is found that tau is proportional to the square of the phason wavelength, which demonstrates that phasons are collective diffusive modes in quasicrystals, in agreement with theoretical predictions. Expand
Models for Assisted Phason Hopping and Phason Elasticity in Icosahedral Quasicrystals
We present a simple model that allows to understand the essential features behind the mechanisms of assistance to phason hopping. We provide a discussion on the length scales in the phason dynamicsExpand
Topological constraints on quasicrystal transformations.
TLDR
The topology of the transformations induced on quasicrystals by transverse displacements of the physical plane correspond to the phase degree of freedom in incommensurate structures. Expand
Elastic stability and diffuse scattering in icosahedral quasicrystals
Abstract Five elastic constants define the stiffness of coupled phonons and phasons in icosahedral quasicrystals. Requirements of elastic stability impose constraints (inequalities) on combinationsExpand
Phason softening in the AlPdMn icosahedral phase
The diffuse scattering located close to Bragg reflections has been studied as a function of the temperature on a single grain of the AlPdMn icosahedral phase. Between 600°C and 800°C there is aExpand
...
1
2
3
...