Crystal growth as an excitable medium

Crystal growth has been widely studied for many years, and, since the pioneering work of Burton, Cabrera and Frank, spirals and target patterns on the crystal surface have been understood as forms of tangential crystal growth mediated by defects and by twodimensional nucleation. Similar spirals and...

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Detalles Bibliográficos
Autores: Cartwright, J.H.E., Checa, A.G., Escribano, B., Sainz-Díaz, C.I.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2012
País:España
Institución:Basque Center for Applied Mathematics (BCAM)
Repositorio:BIRD. BCAM's Institutional Repository Data
OAI Identifier:oai:bird.bcamath.org:20.500.11824/424
Acceso en línea:http://hdl.handle.net/20.500.11824/424
Access Level:acceso abierto
Palabra clave:Crystal morphology
Defects
Growth models
Nucleation
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spelling Crystal growth as an excitable mediumCartwright, J.H.E.Checa, A.G.Escribano, B.Sainz-Díaz, C.I.Crystal morphologyDefectsGrowth modelsNucleationCrystal growth has been widely studied for many years, and, since the pioneering work of Burton, Cabrera and Frank, spirals and target patterns on the crystal surface have been understood as forms of tangential crystal growth mediated by defects and by twodimensional nucleation. Similar spirals and target patterns are ubiquitous in physical systems describable as excitable media. Here, we demonstrate that this is not merely a superficial resemblance, that the physics of crystal growth can be set within the framework of an excitable medium, and that appreciating this correspondence may prove useful to both fields. Apart from solid crystals, we discuss how our model applies to the biomaterial nacre, formed by layer growth of a biological liquid crystal.201720172012info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/20.500.11824/424reponame:BIRD. BCAM's Institutional Repository Datainstname:Basque Center for Applied Mathematics (BCAM)Ingléshttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84861945569&doi=10.1098%2frsta.2011.0600&partnerID=40&md5=4b07f62133c05a8ef7f1ef6f127ff01aReconocimiento-NoComercial-CompartirIgual 3.0 Españahttp://creativecommons.org/licenses/by-nc-sa/3.0/es/info:eu-repo/semantics/openAccessoai:bird.bcamath.org:20.500.11824/4242026-06-19T12:47:47Z
dc.title.none.fl_str_mv Crystal growth as an excitable medium
title Crystal growth as an excitable medium
spellingShingle Crystal growth as an excitable medium
Cartwright, J.H.E.
Crystal morphology
Defects
Growth models
Nucleation
title_short Crystal growth as an excitable medium
title_full Crystal growth as an excitable medium
title_fullStr Crystal growth as an excitable medium
title_full_unstemmed Crystal growth as an excitable medium
title_sort Crystal growth as an excitable medium
dc.creator.none.fl_str_mv Cartwright, J.H.E.
Checa, A.G.
Escribano, B.
Sainz-Díaz, C.I.
author Cartwright, J.H.E.
author_facet Cartwright, J.H.E.
Checa, A.G.
Escribano, B.
Sainz-Díaz, C.I.
author_role author
author2 Checa, A.G.
Escribano, B.
Sainz-Díaz, C.I.
author2_role author
author
author
dc.subject.none.fl_str_mv Crystal morphology
Defects
Growth models
Nucleation
topic Crystal morphology
Defects
Growth models
Nucleation
description Crystal growth has been widely studied for many years, and, since the pioneering work of Burton, Cabrera and Frank, spirals and target patterns on the crystal surface have been understood as forms of tangential crystal growth mediated by defects and by twodimensional nucleation. Similar spirals and target patterns are ubiquitous in physical systems describable as excitable media. Here, we demonstrate that this is not merely a superficial resemblance, that the physics of crystal growth can be set within the framework of an excitable medium, and that appreciating this correspondence may prove useful to both fields. Apart from solid crystals, we discuss how our model applies to the biomaterial nacre, formed by layer growth of a biological liquid crystal.
publishDate 2012
dc.date.none.fl_str_mv 2012
2017
2017
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dc.identifier.none.fl_str_mv http://hdl.handle.net/20.500.11824/424
url http://hdl.handle.net/20.500.11824/424
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
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dc.rights.none.fl_str_mv Reconocimiento-NoComercial-CompartirIgual 3.0 España
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info:eu-repo/semantics/openAccess
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