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Crystallography on curved surfaces

We study static and dynamical properties that distinguish 2D crystals constrained to lie on a curved substrate from their flat-space counterparts. A generic mechanism of dislocation unbinding in the presence of varying Gaussian curvature is presented in the context of a model surface amenable to ful...

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Detalles Bibliográficos
Autores principales: Vitelli, Vincenzo, Lucks, J. B., Nelson, D. R.
Formato: Texto
Lenguaje:English
Publicado: National Academy of Sciences 2006
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC1533801/
https://www.ncbi.nlm.nih.gov/pubmed/16894160
http://dx.doi.org/10.1073/pnas.0602755103
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author Vitelli, Vincenzo
Lucks, J. B.
Nelson, D. R.
author_facet Vitelli, Vincenzo
Lucks, J. B.
Nelson, D. R.
author_sort Vitelli, Vincenzo
collection PubMed
description We study static and dynamical properties that distinguish 2D crystals constrained to lie on a curved substrate from their flat-space counterparts. A generic mechanism of dislocation unbinding in the presence of varying Gaussian curvature is presented in the context of a model surface amenable to full analytical treatment. We find that glide diffusion of isolated dislocations is suppressed by a binding potential of purely geometrical origin. Finally, the energetics and biased diffusion dynamics of point defects such as vacancies and interstitials are explained in terms of their geometric potential.
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spelling pubmed-15338012006-09-25 Crystallography on curved surfaces Vitelli, Vincenzo Lucks, J. B. Nelson, D. R. Proc Natl Acad Sci U S A Physical Sciences We study static and dynamical properties that distinguish 2D crystals constrained to lie on a curved substrate from their flat-space counterparts. A generic mechanism of dislocation unbinding in the presence of varying Gaussian curvature is presented in the context of a model surface amenable to full analytical treatment. We find that glide diffusion of isolated dislocations is suppressed by a binding potential of purely geometrical origin. Finally, the energetics and biased diffusion dynamics of point defects such as vacancies and interstitials are explained in terms of their geometric potential. National Academy of Sciences 2006-08-15 2006-08-07 /pmc/articles/PMC1533801/ /pubmed/16894160 http://dx.doi.org/10.1073/pnas.0602755103 Text en © 2006 by The National Academy of Sciences of the USA Freely available online through the PNAS open access option.
spellingShingle Physical Sciences
Vitelli, Vincenzo
Lucks, J. B.
Nelson, D. R.
Crystallography on curved surfaces
title Crystallography on curved surfaces
title_full Crystallography on curved surfaces
title_fullStr Crystallography on curved surfaces
title_full_unstemmed Crystallography on curved surfaces
title_short Crystallography on curved surfaces
title_sort crystallography on curved surfaces
topic Physical Sciences
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC1533801/
https://www.ncbi.nlm.nih.gov/pubmed/16894160
http://dx.doi.org/10.1073/pnas.0602755103
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AT lucksjb crystallographyoncurvedsurfaces
AT nelsondr crystallographyoncurvedsurfaces