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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

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

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

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

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

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

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

Using molecular simulations, we show that the aperiodic growth of quasicrystals is controlled by the ability of the growing quasicrystal `nucleus' to incorporate kinetically trapped atoms into the solid phase with minimal rearrangement. In…

Other Condensed Matter · Physics 2010-12-22 Aaron S. Keys , Sharon C. Glotzer

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

The surprising recent discoveries of quasicrystals and their approximants in soft matter systems poses the intriguing possibility that these structures can be realized in a broad range of nano- and micro-scale assemblies. It has been…

Soft Condensed Matter · Physics 2012-01-10 Christopher R. Iacovella , Aaron S. Keys , Sharon C. Glotzer

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

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

Mutually repelling particles form spontaneously ordered clusters when forced into confinement. The clusters may adopt similar spatial arrangements even if the underlying particle interactions are contrastingly different. Here we demonstrate…

Soft Condensed Matter · Physics 2026-02-13 P. D. S. de Lima , R. De La Cour , K. Gaff , J. M. de Araújo , S. J. Cox , M. S. Ferreira , S. Hutzler

The self-assembly of binary nanoparticle superlattices from colloidal mixtures is a promising method for the fabrication of complex colloidal co-crystal structures. However, binary mixtures often form amorphous or metastable phases instead…

Soft Condensed Matter · Physics 2022-05-11 R. Allen LaCour , Timothy C. Moore , Sharon C. Glotzer

Anisotropy at the level of the inter-particle interaction provides the particles with specific instructions for the self-assembly of target structures. The ability to synthesize non-spherical colloids, together with the possibility of…

Soft Condensed Matter · Physics 2020-01-03 Carina Karner , Christoph Dellago , Emanuela Bianchi

Colloidal particles can spontaneously self-assemble into ordered structures, which not only can manipulate the propagation of light, but also vibration or phonons. Using Monte Carlo simulation, we study the self-assembly of perfectly…

Soft Condensed Matter · Physics 2024-03-11 Ji-Dong Hu , Ting Wang , Qun-Li Lei , Yu-qiang Ma

We perform extensive monomer-resolved computer simulations of suitably-designed amphiphilic dendritic macromolecules over a broad range of densities, proving the existence and stability of cluster crystals formed in these systems, as…

Soft Condensed Matter · Physics 2013-05-06 Dominic A. Lenz , Ronald Blaak , Christos N. Likos , Bianca M. Mladek

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

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

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
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