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Related papers: Self Assembly of Soft Matter Quasicrystals and The…

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In previous approaches to form quasicrystals, multiple competing length scales involved in particle size, shape or interaction potential are believed to be necessary. It is unexpected that quasicrystals can be self-assembled by…

Soft Condensed Matter · Physics 2018-10-26 Mengjie Zu , Peng Tan , Ning Xu

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

Quasicrystals are fascinating structures, characterized by strong positional order but lacking the periodicity of a crystal. In colloidal systems, quasicrystals are typically predicted for particles with complex or highly specific…

Soft Condensed Matter · Physics 2022-02-28 Etienne Fayen , Marianne Impéror-Clerc , Laura Filion , Giuseppe Foffi , Frank Smallenburg

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

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

Using a strategy that may be applied in theory or in experiments, we identify the regime in which a model binary soft matter mixture forms quasicrystals. The system is described using classical density functional theory combined with…

Soft Condensed Matter · Physics 2021-01-22 A. Scacchi , W. R. C. Somerville , D. M. A. Buzza , A. J. Archer

Quasicrystals whose building blocks are of mesoscopic rather than atomic scale have recently been discovered in several soft-matter systems. Contrary to metallurgic quasicrystals whose source of stability remains a question of great debate…

Soft Condensed Matter · Physics 2015-03-17 Kobi Barkan , Haim Diamant , Ron Lifshitz

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

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

For a three dimensional system we answer two questions, how simple a particle system might be to show the quasicrystal order and, what system features are the most important for quasicrystal formation? One-component system of particles with…

Soft Condensed Matter · Physics 2015-08-27 R. E. Ryltsev , B. A. Klumov , N. M. Chtchelkatchev

Quasicrystals are frequently encountered in condensed matter. They are important candidates for equilibrium phases from the atomic scale to the nanoscale. Here, we investigate the computational self-assembly of four quasicrystals in a…

Materials Science · Physics 2017-06-26 Pablo F. Damasceno , Sharon C. Glotzer , Michael Engel

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 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

We present a theoretical description of a mechanism for self assembly in binary soft nanoparticle systems of the type which were studied experimentally by Talapin et al [1]. We focus on, in particular, the conditions for formation of…

Statistical Mechanics · Physics 2021-04-13 Anuradha Jagannathan

Quasicrystals are intriguing ordered structures characterized by the lack of translational symmetry and the existence of rotational symmetry. The tiling of different geometric units such as triangles and squares in two-dimensional space can…

Soft Condensed Matter · Physics 2024-10-11 Xin Wang , An-Chang Shi , Pingwen Zhang , Kai Jiang

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

One of the frontiers of nanotechnology is advancing beyond the periodic self-assembly of materials. Icosahedral quasicrystals, aperiodic in all directions, represent one of the most challenging targets that have yet to be experimentally…

Soft Condensed Matter · Physics 2024-07-30 Diogo E. P. Pinto , Petr Šulc , Francesco Sciortino , John Russo

For the study of crystal formation and dynamics we introduce a simple two-dimensional monatomic model system with a parametrized interaction potential. We find in molecular dynamics simulations that a surprising variety of crystals, a…

Other Condensed Matter · Physics 2007-07-03 Michael Engel , Hans-Rainer Trebin

We explore the behavior of two-dimensional patchy colloidal particles with 8 or 10 symmetrically arranged patches by employing Monte-Carlo simulations. The particles interact according to an isotropic pair potential that possesses only one…

Soft Condensed Matter · Physics 2019-06-04 Anja Gemeinhardt , Miriam Martinsons , Michael Schmiedeberg

Using computer simulations and theory, we investigate the ultrasoft interactions between dendrimers formed of a central polymer connected by stiff linkers to a corona of flexible polymers, forming `pompoms' at the ends of the linkers. We…

Soft Condensed Matter · Physics 2026-03-20 D. J. Ratliff , A. Scacchi , P. Subramanian , A. J. Archer , A. M. Rucklidge
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