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For many years, quasicrystals were observed only as solid-state metallic alloys, yet current research is now actively exploring their formation in a variety of soft materials, including systems of macromolecules, nanoparticles and colloids.…

Soft Condensed Matter · Physics 2018-05-02 Samuel Savitz , Mehrtash Babadi , Ron Lifshitz

We investigate the formation and stability of icosahedral quasicrytalline structures using a dynamic phase field crystal model. Nonlinear interactions between density waves at two length scales stabilize three-dimensional quasicrystals. We…

Pattern Formation and Solitons · Physics 2016-08-17 P. Subramanian , A. J. Archer , E. Knobloch , A. M. Rucklidge

We investigate dynamical heterogeneities in the collective relaxation of a concentrated microgel system, for which the packing fraction can be conveniently varied by changing the temperature. The packing fraction dependent mechanical…

Soft Condensed Matter · Physics 2011-05-31 David A. Sessoms , Irmgard Bischofberger , Luca Cipelletti , Véronique Trappe

Electronic and topological properties of materials are derived from the interplay between crystalline symmetry and dimensionality. Simultaneously introducing 'forbidden' symmetries via quasiperiodic ordering with low-dimensionality into a…

Materials Science · Physics 2022-06-01 Jeffrey D. Cain , Amin Azizi , Matthias Conrad , Sinéad M. Griffin , Alex Zettl

Systems of soft-core particles interacting via a two-scale potential are studied. The potential is responsible for peaks in the structure factor of the liquid state at two different but comparable length scales, and a similar bimodal…

Soft Condensed Matter · Physics 2015-12-03 A. J. Archer , A. M. Rucklidge , E. Knobloch

Periodic configurations have dominated the design of phononic and elastic-acoustic metamaterial structures for the past decades. Unlike periodic crystals, quasicrystals lack translational symmetry but are unrestricted in rotational…

Applied Physics · Physics 2021-09-01 Danilo Beli , Matheus I. N. Rosa , Carlos De Marqui , Massimo Ruzzene

Translational dynamics of two-dimensional glass forming fluids is strongly influenced by soft, long-wavelength fluctuations first recognized by D. Mermin and H. Wagner. As a result of these fluctuations, characteristic features of glassy…

Soft Condensed Matter · Physics 2019-03-27 Elijah Flenner , Grzegorz Szamel

Quasicrystals are solid structures with symmetry forbidden by crystallographic rules. Because of this some structural characteristics of quasicrystals, for instance, radial distribution function, can look similar to the ones of amorphous…

Soft Condensed Matter · Physics 2019-07-30 Yu. D. Fomin

This article provides a detailed review on the generalized dynamics of soft-matter quasicrystals developed recent years. Comparing to solid quasicrystals consisted mainly with metallic alloys, soft-matter quasicrystals have been observed in…

Soft Condensed Matter · Physics 2019-10-16 Tian-You Fan , Wenge Yang , Xiao-Hong Sun

Quasicrystals are unique materials characterized by long-range order without periodicity. They are observed in systems such as metallic alloys, soft matter, and particle simulations. Unlike periodic crystals, which are invariant under…

Computational Physics · Physics 2024-11-14 Nydia Roxana Varela-Rosales , Michael Engel

Quasicrystals are nonperiodic structures having no translational symmetry but nonetheless possessing long-range order. The material properties of quasicrystals, particularly their low-temperature behavior, defy easy description. We present…

Optics · Physics 2019-03-18 Theodore A. Corcovilos , Jahnavee Mittal

Quasi-two-dimensional (quasi-2D) colloidal hard-sphere suspensions confined in a slit geometry are widely used as two dimensional (2D) model systems in experiments that probe the glassy relaxation dynamics of 2D systems. However, the…

Soft Condensed Matter · Physics 2023-02-15 Jiting Tian , Walter Kob , Jean-Louis Barrat

The relaxation dynamics of glass-forming systems shows a multitude of features that are absent in normal liquids, such as non-exponential relaxation and a strong temperature-dependence of the relaxation time. Connecting these dynamic…

Disordered Systems and Neural Networks · Physics 2019-04-03 Zhen Wei Wu , Walter Kob , Wei-Hua Wang , Limei Xu

We investigate the self-assembly of two-dimensional dodecagonal quasicrystals driven by cyclic shear, effectively replacing thermal fluctuations with plastic rearrangements. Using particles interacting via a smoothed square-shoulder…

Soft Condensed Matter · Physics 2026-03-30 Raphaël Maire , Andrea Plati , Frank Smallenburg , Giuseppe Foffi

The conditions for forming quasicrystals and their approximants are stringent, normally requiring multiple length scales to stabilize the quasicrystalline order. Here we report an unexpected finding that the approximants and motifs of…

Soft Condensed Matter · Physics 2026-04-30 Zhehua Jiang , Jianhua Zhang , Mengyuan Zhan , Jiaqi Si , Junchao Huang , Hua Tong , Ning Xu

We study in this work the dynamics of a collection of identical hollow spheres (ping-pong balls) that rest on a horizontal metallic grid. Fluidization is achieved by means of a turbulent air current coming from below. The upflow is adjusted…

The relative stability of two-dimensional soft quasicrystals is examined using a recently developed projection method which provides a unified numerical framework to compute the free energy of periodic crystal and quasicrystals. Accurate…

Soft Condensed Matter · Physics 2015-11-04 Kai Jiang , Jiajun Tong , Pingwen Zhang , An-Chang Shi

Growth and structures of crystals in the model of Al obtained in results of isothermal annealing after quick cooling to certain temperatures are studied by the method of molecular dynamics applying the known potential of EAM type. The…

Materials Science · Physics 2014-03-27 A. S. Prokhoda , A. M. Ovrutsky

Upon cooling, glass-forming liquids experience a two-step relaxation associated to the cage rattling and the escape from the cage, and the following decoupling between the \b{eta}- and the {\alpha}-relaxations. The found decoupling…

Disordered Systems and Neural Networks · Physics 2017-06-07 P. Luo , P. Wen , H. Y. Bai , B. Ruta , W. H. Wang

Due to their aperiodic nature, quasicrystals are one of the least understood phases in statistical physics. One significant complication they present in comparison to their periodic counterparts is the fact that any quasicrystal can be…

Soft Condensed Matter · Physics 2024-02-01 Etienne Fayen , Laura Filion , Giuseppe Foffi , Frank Smallenburg