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For many years, quasicrystals were only observed as solid-state metallic alloys, yet current research is actively exploring their formation in a variety of soft materials, including systems of macromolecules, nanoparticles, and colloids. Much effort is being invested in understanding the thermodynamic properties of these soft-matter quasicrystals in order to predict and possibly control the structures that form, and to hopefully shed light on the broader, yet unresolved, general questions of quasicrystal formation and stability. Moreover, the ability to control the self-assembly of soft quasicrystals may contribute to the development of novel photonic or other applications based on self-assembled metamaterials. Here we follow a path, leading to quantitative stability predictions, that starts with a model developed two decades ago to treat the formation of multiple-scale quasiperiodic Faraday waves—standing wave patterns in vibrated fluid surfaces—that was later mapped onto systems of soft particles, interacting via multiplescale pair-potentials. We review, and substantially expand, the quantitative predictions of these models, while correcting a few discrepancies in earlier calculations, and presenting new analytical methods for treating the models. In so doing, we find a number of new stable quasicrystalline structures with octagonal, octadecagonal and higher-order symmetries, some of which may hopefully be observed in future experiments.

Pertenece a

Caltech Authors  


Savitz, Samuel -  Babadi, Mehrtash -  Lifshitz, Ron - 

Id.: 71026038

Versión: 1.0

Estado: Final

Tipo:  application/pdf - 

Tipo de recurso: Report or Paper  -  PeerReviewed  - 

Tipo de Interactividad: Expositivo

Nivel de Interactividad: muy bajo

Audiencia: Estudiante  -  Profesor  -  Autor  - 

Estructura: Atomic

Coste: no

Copyright: sí

Formatos:  application/pdf - 

Requerimientos técnicos:  Browser: Any - 

Relación: [References] http://resolver.caltech.edu/CaltechAUTHORS:20180220-092159661
[References] https://authors.library.caltech.edu/84887/

Fecha de contribución: 23-feb-2018


* Savitz, Samuel and Babadi, Mehrtash and Lifshitz, Ron (2017) Multiple-scale structures: from Faraday waves to soft-matter quasicrystals. . (Submitted) http://resolver.caltech.edu/CaltechAUTHORS:20180220-092159661

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