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We investigate the formation of a two-dimensional quasicrystal in a monodisperse system, using molecular dynamics simulations of hard sphere particles interacting via a two-dimensional square-well potential. We find that more than one…

Soft Condensed Matter · Physics 2009-10-31 A. Skibinsky , S. V. Buldyrev , A. Scala , S. Havlin , H. E. Stanley

We present a finite-size study of the athermal quasistatic yielding transition in structural glasses featuring a wide range of mechanical disorder. We find a crossover from gradual yielding in small systems, to a macroscopic discontinuous…

Soft Condensed Matter · Physics 2021-04-07 Richard David , Rainone Corrado , Lerner Edan

Using molecular dynamics simulation we examine changeovers among crystal, glass, and liquid at high density in a two dimensional binary mixture. We change the ratio between the diameters of the two components and the temperature. The…

Soft Condensed Matter · Physics 2009-11-11 Toshiyuki Hamanaka , Akira Onuki

We introduce the notion of a quasistatic dynamical system, which generalizes that of an ordinary dynamical system. Quasistatic dynamical systems are inspired by the namesake processes in thermodynamics, which are idealized processes where…

Dynamical Systems · Mathematics 2016-05-18 Neil Dobbs , Mikko Stenlund

Extraordinary new materials named quasicrystals and characterized by noncrystallographic rotational symmetry and quasiperiodic translational properties have attracted scrutiny. Study of quasicrystals may shed light on the most basic notions…

Strongly Correlated Electrons · Physics 2013-06-27 V. R. Shaginyan , A. Z. Msezane , K. G. Popov , G. S. Japaridze , V. A. Khodel

The mechanical properties of cells, which influence the properties of the tissue they belong to, are controlled by various mechanisms. Bi et al. theoretically demonstrated that density-independent rigidity transition occurs in…

Soft Condensed Matter · Physics 2018-02-27 H. Nogucci

We present a molecular dynamics study on atomic self-diffusion in Frank-Kasper type dodecagonal quasicrystals. It is found that the quasicrystal-specific flip mechanism for atomic diffusion as predicted by Kalugin and Katz, indeed occurs in…

Condensed Matter · Physics 2007-05-23 Johannes Roth , Franz Gaehler

We have adapted classical molecular dynamics to study the structural and dynamical properties of amorphous silica surfaces. Concerning the structure, the density profile exhibits oscillations perpendicularly to the surface as observed in…

Disordered Systems and Neural Networks · Physics 2009-11-07 M. Rarivomanantsoa , P. Jund , R. Jullien

Quasicrystals provide a fascinating class of materials with intriguing properties. Despite a strong potential for numerous technical applications, the conditions under which quasicrystals form are still poorly understood. Currently, it is…

Materials Science · Physics 2010-05-13 J. Mikhael , M. Schmiedeberg , S. Rausch , J. Roth , H. Stark , C. Bechinger

We investigate quasicrystal-forming soft matter using a two-scale phase field crystal model. At state points near thermodynamic coexistence between bulk quasicrystals and the liquid phase, we find multiple metastable spatially localized…

Pattern Formation and Solitons · Physics 2019-04-19 P. Subramanian , A. J. Archer , E. Knobloch , A. M. Rucklidge

In a recent Letter we proposed a means to realize a quasicrystal with eight-fold symmetry by trapping particles in an optical potential created by four lasers. The quasicrystals obtained in this way, which are closely related to the…

Statistical Mechanics · Physics 2014-03-05 Anuradha Jagannathan , Michel Duneau

It is well established that physical aging of amorphous solids is governed by a marked change in dynamical properties as the material becomes older. Conversely, structural properties such as the radial distribution function exhibit only a…

The discovery of quasicrystals 30 years ago challenged our understanding of order at the atomic scale. While quasicrystals possess long-range orientational order they lack translation periodicity. Structurally complex, yet crystalline…

Materials Science · Physics 2014-10-14 Wolfgang Hornfeck , Raphael Kobold , Matthias Kolbe , Dieter Herlach

Between space crystals and amorphous materials there exists a third class of aperiodic structures which lack translational symmetry but reveal long-range order. They are dubbed quasi-crystals and their formation, similarly as the formation…

Quantum Gases · Physics 2019-06-19 Krzysztof Giergiel , Arkadiusz Kuroś , Krzysztof Sacha

Quasicrystals are aperiodically ordered solids that exhibit long-range order without translational periodicity, bridging the gap between crystalline and amorphous materials. Due to their lack of translational periodicity, information on…

Materials Science · Physics 2025-03-10 Tano Kim Kender , Marco Corrias , Cesare Franchini

Quasicrystals exhibit long-range order but lack translational symmetry. When grown as single crystals, they possess distinctive and unusual properties owing to the absence of grain boundaries. Unfortunately, conventional methods such as…

Expanding the library of self-assembled superstructures provides insight into the behavior of atomic crystals and supports the development of materials with mesoscale order. Here we build upon recent findings of soft matter quasicrystals…

We review the mechanism for transport in strongly anharmonic chains of oscillators near the atomic limit where all oscillators are decoupled. In this regime, the motion of most oscillators remains close to integrable, i.e. quasi-periodic,…

Statistical Mechanics · Physics 2020-01-08 Wojciech De Roeck , François Huveneers

Quasicrystals and their periodic approximants are complex phases, which have by now been observed in many metallic alloys, soft matter systems, and particle simulations. In recent experiments of thin-film perovskites on solid substrates,…

Soft Condensed Matter · Physics 2024-08-07 Nydia Roxana Varela-Rosales , Michael Engel

Understanding, predicting and eventually improving the resistance to fracture of silicate materials is of primary importance to design new glasses that would be tougher, while retaining their transparency. However, the atomic mechanism of…

Materials Science · Physics 2015-06-23 Yingtian Yu , Bu Wang , Young Jea Lee , Mathieu Bauchy