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We investigate particles in two-dimensional quasicrystalline interference patterns and present a method to determine for each particle at which phasonic displacement a phasonic flip occurs. By mapping all particles into characteristic areas…

Soft Condensed Matter · Physics 2020-05-14 Miriam Martinsons , Michael Schmiedeberg

A dislocation moving through a quasicrystal is leaving in its wake a fault denoted phason wall. For a two-dimensional model quasicrystal the disregistry energy of this phason wall is studied to determine possible Burgers vectors of the…

Materials Science · Physics 2008-02-03 R. Mikulla , P. Gumbsch , H. -R. Trebin

Quasicrystals (QCs) are a class of aperiodic ordered structures that emerge in various systems, from metallic alloys to soft matter and driven non-equilibrium systems. Within a mesoscale theory based on slowly-varying complex amplitudes for…

Materials Science · Physics 2025-09-12 Marcello De Donno , Luiza Angheluta , Marco Salvalaglio

Quasicrystals are characterized by quasi-periodic arrangements of atoms. The description of their mechanics involves deformation and a (so called phason) vector field accounting at macroscopic scale of local phase changes, due to atomic…

Mathematical Physics · Physics 2015-11-23 Luca Bisconti , Paolo Maria Mariano

We introduce a novel simulation method that is designed to explore fluctuations of the phasonic degrees of freedom in decagonal colloidal quasicrystals. Specifically, we attain and characterise thermal equilibrium of the phason ensemble via…

Soft Condensed Matter · Physics 2020-05-14 Johannes Hielscher , Miriam Martinsons , Michael Schmiedeberg , Sebastian C. Kapfer

The dynamics of quasicrystals is more complicated than the dynamics of periodic solids and difficult to study in experiments. Here, we investigate a decagonal and a dodecagonal quasicrystal using molecular dynamics simulations of the…

Materials Science · Physics 2010-10-11 Michael Engel , Masahiro Umezaki , Hans-Rainer Trebin , Takashi Odagaki

The recent discovery of metadislocations in some periodic complex metallic alloys and of their 'phason' defects has given a new impetus to the study of QC approximant defects. In this paper we emphasize: 1- that approximants differ from a…

Materials Science · Physics 2013-03-25 Maurice Kleman

In quasicrystals, there are not only conventional, but also phason displacement fields and associated Burgers vectors. We have calculated approximate solutions for the elastic fields induced by two-, three- and fivefold straight screw- and…

Materials Science · Physics 2009-11-07 M. Ricker , J. Bachteler , H. -R. Trebin

Dislocations can climb out of their glide plane by absorbing (or emitting) point defects (vacancies and self-interstitial atoms (SIAs)). In contrast with conservative glide motion, climb relies on the point defects' thermal diffusion and…

Materials Science · Physics 2018-09-12 DH Thompson , E Tarleton , SG Roberts , SP Fitzgerald

In this paper, we present numerical and experimental evidence of directional wave behavior, i.e. beaming and diffraction, along high-order rotational symmetries of quasicrystalline elastic metamaterial plates. These structures are obtained…

Applied Physics · Physics 2022-01-31 Danilo Beli , Matheus Inguaggiato Nora Rosa , Carlos De Marqui , Massimo Ruzzene

Elucidating the interplay of defect and stress at the microscopic level is a fundamental physical problem that has strong connection with materials science. Here, based on the two-dimensional crystal model, we show that the instability mode…

Soft Condensed Matter · Physics 2020-06-19 Zhenwei Yao

The nucleation of quasicrystals remains a fundamental puzzle, primarily due to the absence of a periodic translational template. Here, we demonstrate that phasons - hidden degrees of freedom unique to quasiperiodic order - drive diverse…

Soft Condensed Matter · Physics 2026-02-17 Gang Cui , Lei Zhang , Pingwen Zhang , An-Chang Shi , Kai Jiang

Crack propagation is studied in a two dimensional decagonal model quasicrystal. The simulations reveal the dominating role of highly coordinated atomic environments as structure intrinsic obstacles for both dislocation motion and crack…

Materials Science · Physics 2009-10-31 R. Mikulla , J. Stadler , F. Krul , H. -R. Trebin , P. Gumbsch

Mechanisms that stabilize quasicrystals are much discussed but not finally resolved. We confirm the random tiling hypothesis and its predictions in a fully atomistic decagonal quasicrystal model by calculating the free energy and the phason…

Materials Science · Physics 2013-05-10 Alexander Kiselev , Michael Engel , Hans-Rainer Trebin

A theoretical framework for dislocation dynamics in quasicrystals is provided according to the continuum theory of dislocations. Firstly, we present the fundamental theory for moving dislocations in quasicrystals giving the dislocation…

Materials Science · Physics 2016-12-14 Eleni Agiasofitou , Markus Lazar , Helmut Kirchner

In this work we investigate the theory of dynamics of dislocations in quasicrystals. We consider three models: the elastodynamic model of wave type, the elasto-hydrodynamic model, and the elastodynamic model of wave-telegraph type.…

Materials Science · Physics 2016-12-14 Eleni Agiasofitou , Markus Lazar

We present a mesoscale field theory unifying the modeling of growth, elasticity, and dislocations in quasicrystals. The theory is based on the amplitudes entering their density-wave representation. We introduce a free energy functional for…

Mesoscale and Nanoscale Physics · Physics 2025-02-04 Marcello De Donno , Luiza Angheluta , Ken R. Elder , Marco Salvalaglio

It has recently been claimed that the dynamics of long-wavelength phason fluctuations has been observed in i-AlPdMn quasicrystals. We will show that the data reported call for a more detailed development of the elasticity theory of Jaric…

Disordered Systems and Neural Networks · Physics 2009-11-11 Gerrit Coddens

A novel explanation of the quasielastic release phenomenon in shock compressed aluminum is presented. A dislocation-based model, taking into account dislocation substructures and evolution, is applied to simulate the elastic plastic…

Materials Science · Physics 2017-02-01 Song-Lin Yao , Xiao-Yang Pei , Ji-Dong Yu , Jing-Song Bai , Qiang Wu

The plastic deformation of a quasicrystal (QC) is ruled by singularities of its 'phonon' strain field and of its 'phason' strain field. In the framework of the topological theory of defects, and the QC being defined as an irrational subset…

Materials Science · Physics 2009-11-07 Maurice Kleman
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