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Using molecular dynamics simulations, we study computational self-assembly of one-component three-dimensional dodecagonal (12-fold) quasicrystals in systems with two-length-scale potentials. Existing criteria for three-dimensional…

Materials Science · Physics 2017-05-04 Roman Ryltsev , Nikolay Chtchelkatchev

Quasicrystals exhibit exotic properties inherited from the self-similarity of their long-range ordered, yet aperiodic, structure. The recent realization of optical quasicrystal lattices paves the way to the study of correlated Bose fluids…

Quantum Gases · Physics 2021-03-22 Ronan Gautier , Hepeng Yao , Laurent Sanchez-Palencia

A two-dimensional system of soft particles interacting via a two-length-scale potential is studied. Density functional theory and Brownian dynamics simulations reveal a fluid phase and two crystalline phases with different lattice spacing.…

Soft Condensed Matter · Physics 2013-10-30 A. J. Archer , A. M. Rucklidge , E. Knobloch

Freezing of charge-stabilized colloidal suspensions and relative stabilities of crystals and quasicrystals are studied using thermodynamic perturbation theory. Macroion interactions are modelled by effective pair potentials combining…

Soft Condensed Matter · Physics 2009-10-31 A. R. Denton , H. Lowen

The behaviour of two-dimensional patchy particles with 5 and 7 regularly-arranged patches is investigated by computer simulation. For higher pressures and wider patch widths, hexagonal crystals have the lowest enthalpy, whereas at lower…

Soft Condensed Matter · Physics 2012-03-22 Marjolein N. van der Linden , Jonathan P. K. Doye , Ard A. Louis

Quasicrystals, a fascinating class of materials with long-range but nonperiodic order, have revolutionized our understanding of solid-state physics due to their unique properties at the crossroads of long-range-ordered and disordered…

Quantum Gases · Physics 2024-01-24 Zhaoxuan Zhu , Shengjie Yu , Dean Johnstone , Laurent Sanchez-Palencia

A cascade of phase transitions from square to hexagonal lattice is studied in 2D system of particles interacting via core-softened potential. Due to the presence of two length-scales of repulsion, different local configurations with four,…

Soft Condensed Matter · Physics 2017-12-14 N. P. Kryuchkov , S. O. Yurchenko , Yu. D. Fomin , E. N. Tsiok , V. N. Ryzhov

We propose a means to realize two-dimensional quasiperiodic structures by trapping atoms in an optical potential. The structures have eight-fold symmetry and are closely related to the well-known quasiperiodic octagonal (Ammann-Beenker)…

Quantum Gases · Physics 2013-12-18 Anuradha Jagannathan , Michel Duneau

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

"Quasi-stationary" states are approximately time-independent out of equilibrium states which have been observed in a variety of systems of particles interacting by long-range interactions. We investigate here the conditions of their…

Statistical Mechanics · Physics 2010-12-03 Andrea Gabrielli , Michael Joyce , Bruno Marcos

Quasicrystals are characterized by atomic arrangements possessing long-range order without periodicity. Van der Waals (vdW) bilayers provide a unique opportunity to controllably vary atomic alignment between two layers from a periodic…

The discovery of quasicrystals with crystallographically forbidden rotational symmetries has changed the notion of the ordering in materials, yet little is known about the dynamical emergence of such exotic forms of order. Here we…

Quantum Gases · Physics 2019-11-27 Farokh Mivehvar , Helmut Ritsch , Francesco Piazza

The stability of a quasicrystalline structure, recently obtained in a molecular-dynamics simulation of rapid cooling of a binary melt, is analyzed for binary hard-sphere mixtures within a density-functional approach. It is found that this…

Materials Science · Physics 2017-02-08 H. M. Cataldo

Soft particles are known to overlap and form stable clusters that self-assemble into periodic crystalline phases with density-independent lattice constants. We use molecular dynamics simulations in two dimensions to demonstrate that,…

Soft Condensed Matter · Physics 2014-09-08 Kobi Barkan , Michael Engel , Ron Lifshitz

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

A structure model of atoms of two sizes, interacting with Lennard-Jones potentials and simulated by molecular dynamics, was observed to freeze into a decagonal quasicrystal dominated by Frank-Kasper coordination shells and closely related…

Condensed Matter · Physics 2009-10-28 Johannes Roth , Christopher L. Henley

In this article, we discuss the stability of soft quasicrystalline phases in a coupled-mode Swift-Hohenberg model for three-component systems, where the characteristic length scales are governed by the positive-definite gradient terms.…

Soft Condensed Matter · Physics 2016-04-20 Kai Jiang , Jiajun Tong , Pingwen Zhang

We give a strong evidence that noncrystalline materials such as quasicrystals or incommensurate solids are not exceptions but rather are generic in some regions of a phase space. We show this by constructing classical lattice-gas models…

Statistical Mechanics · Physics 2015-06-25 Jacek Miekisz

We propose a general framework for constructing self-dual one-dimensional quasiperiodic lattice models with arbitrary-range hoppings and multifractal behaviors. Our framework generates a broad spectrum of one dimensional quasicrystals,…

Quantum Physics · Physics 2025-10-23 Wenzhi Wang , Wei Yi , Tianyu Li

Quasicrystals have been observed in a variety of materials ranging from metal alloys to block copolymers. However, their structural and dynamical properties cannot be readily described in terms of conventional solid-state models of liquids…

Materials Science · Physics 2025-08-06 Kun Zhao , Matteo Baggioli , Wen-Sheng Xu , Jack F. Douglas , Yun-Jiang Wang