Multiple-scale structures: from Faraday waves to soft-matter quasicrystals
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. Much effort is being invested in understanding the thermody...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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International Union of Crystallography
2018-05-01
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| Series: | IUCrJ |
| Subjects: | |
| Online Access: | http://scripts.iucr.org/cgi-bin/paper?S2052252518001161 |
| _version_ | 1818085112434130944 |
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| author | Samuel Savitz Mehrtash Babadi Ron Lifshitz |
| author_facet | Samuel Savitz Mehrtash Babadi Ron Lifshitz |
| author_sort | Samuel Savitz |
| collection | DOAJ |
| description | 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. 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 hopefully to 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 photonics or other applications based on self-assembled metamaterials. Here a path is followed, 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 vibrating fluid surfaces) and which was later mapped onto systems of soft particles, interacting via multiple-scale pair potentials. The article reviews, and substantially expands, the quantitative predictions of these models, while correcting a few discrepancies in earlier calculations, and presents new analytical methods for treating the models. In so doing, a number of new stable quasicrystalline structures are found with octagonal, octadecagonal and higher-order symmetries, some of which may, it is hoped, be observed in future experiments. |
| first_indexed | 2024-12-10T20:04:36Z |
| format | Article |
| id | doaj.art-41638f5df2454791a99e67f29e8aba95 |
| institution | Directory Open Access Journal |
| issn | 2052-2525 |
| language | English |
| last_indexed | 2024-12-10T20:04:36Z |
| publishDate | 2018-05-01 |
| publisher | International Union of Crystallography |
| record_format | Article |
| series | IUCrJ |
| spelling | doaj.art-41638f5df2454791a99e67f29e8aba952022-12-22T01:35:25ZengInternational Union of CrystallographyIUCrJ2052-25252018-05-015324726810.1107/S2052252518001161gq5007Multiple-scale structures: from Faraday waves to soft-matter quasicrystalsSamuel Savitz0Mehrtash Babadi1Ron Lifshitz2Condensed Matter Physics, California Institute of Technology, Pasadena, CA 91125, USACondensed Matter Physics, California Institute of Technology, Pasadena, CA 91125, USACondensed Matter Physics, California Institute of Technology, Pasadena, CA 91125, USAFor 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. 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 hopefully to 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 photonics or other applications based on self-assembled metamaterials. Here a path is followed, 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 vibrating fluid surfaces) and which was later mapped onto systems of soft particles, interacting via multiple-scale pair potentials. The article reviews, and substantially expands, the quantitative predictions of these models, while correcting a few discrepancies in earlier calculations, and presents new analytical methods for treating the models. In so doing, a number of new stable quasicrystalline structures are found with octagonal, octadecagonal and higher-order symmetries, some of which may, it is hoped, be observed in future experiments.http://scripts.iucr.org/cgi-bin/paper?S2052252518001161quasicrystalssoft matterpattern formation |
| spellingShingle | Samuel Savitz Mehrtash Babadi Ron Lifshitz Multiple-scale structures: from Faraday waves to soft-matter quasicrystals IUCrJ quasicrystals soft matter pattern formation |
| title | Multiple-scale structures: from Faraday waves to soft-matter quasicrystals |
| title_full | Multiple-scale structures: from Faraday waves to soft-matter quasicrystals |
| title_fullStr | Multiple-scale structures: from Faraday waves to soft-matter quasicrystals |
| title_full_unstemmed | Multiple-scale structures: from Faraday waves to soft-matter quasicrystals |
| title_short | Multiple-scale structures: from Faraday waves to soft-matter quasicrystals |
| title_sort | multiple scale structures from faraday waves to soft matter quasicrystals |
| topic | quasicrystals soft matter pattern formation |
| url | http://scripts.iucr.org/cgi-bin/paper?S2052252518001161 |
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