Emergent Geometry of Inhomogeneous Planar Crystals

Autores
Soni, Vishal; Gomez, Leopoldo Raimundo; Irvine, William T.M.
Año de publicación
2018
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Uniform triangular crystals are the ground state for particles that interact isotropically in two dimensions. However, when immersed in an external potential, for example, one arising from an electric field, a flow field, or gravity, the resulting phases are significantly distorted in a way reminiscent of conformal transformations of planar lattices. We study these "conformal crystals" using colloidal experiments and molecular dynamics simulations. By establishing a projection from these self-assembled inhomogeneous crystals to homogeneous crystals on curved surfaces, we are able to both predict the distribution of defects and establish that defects are an almost inevitable part of the ground state. We determine how the inherent geometry emerges from an interplay between the confining potential and the interparticle interactions. Using molecular dynamics simulations, we demonstrate the generic behavior of this emergent geometry and the resulting defect structures throughout a variety of physical systems.
Fil: Soni, Vishal. University of Chicago; Estados Unidos
Fil: Gómez, Leopoldo R.. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Física del Sur. Universidad Nacional del Sur. Departamento de Física. Instituto de Física del Sur; Argentina
Fil: Irvine, William T.M.. University of Chicago; Estados Unidos
Materia
Inhomogeneous Crystals
Topological defects
Curved Crystals
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/93402
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Emergent Geometry of Inhomogeneous Planar CrystalsSoni, VishalGomez, Leopoldo RaimundoIrvine, William T.M.Inhomogeneous CrystalsTopological defectsCurved Crystalshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1Uniform triangular crystals are the ground state for particles that interact isotropically in two dimensions. However, when immersed in an external potential, for example, one arising from an electric field, a flow field, or gravity, the resulting phases are significantly distorted in a way reminiscent of conformal transformations of planar lattices. We study these "conformal crystals" using colloidal experiments and molecular dynamics simulations. By establishing a projection from these self-assembled inhomogeneous crystals to homogeneous crystals on curved surfaces, we are able to both predict the distribution of defects and establish that defects are an almost inevitable part of the ground state. We determine how the inherent geometry emerges from an interplay between the confining potential and the interparticle interactions. Using molecular dynamics simulations, we demonstrate the generic behavior of this emergent geometry and the resulting defect structures throughout a variety of physical systems.Fil: Soni, Vishal. University of Chicago; Estados UnidosFil: Gómez, Leopoldo R.. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Física del Sur. Universidad Nacional del Sur. Departamento de Física. Instituto de Física del Sur; ArgentinaFil: Irvine, William T.M.. University of Chicago; Estados UnidosAmerican Physical Society2018-03info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/93402Soni, Vishal; Gomez, Leopoldo Raimundo; Irvine, William T.M.; Emergent Geometry of Inhomogeneous Planar Crystals; American Physical Society; Physical Review X; 8; 1; 3-2018; 110391-11039172160-3308CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://link.aps.org/doi/10.1103/PhysRevX.8.011039info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevX.8.011039info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:38:13Zoai:ri.conicet.gov.ar:11336/93402instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:38:14.231CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Emergent Geometry of Inhomogeneous Planar Crystals
title Emergent Geometry of Inhomogeneous Planar Crystals
spellingShingle Emergent Geometry of Inhomogeneous Planar Crystals
Soni, Vishal
Inhomogeneous Crystals
Topological defects
Curved Crystals
title_short Emergent Geometry of Inhomogeneous Planar Crystals
title_full Emergent Geometry of Inhomogeneous Planar Crystals
title_fullStr Emergent Geometry of Inhomogeneous Planar Crystals
title_full_unstemmed Emergent Geometry of Inhomogeneous Planar Crystals
title_sort Emergent Geometry of Inhomogeneous Planar Crystals
dc.creator.none.fl_str_mv Soni, Vishal
Gomez, Leopoldo Raimundo
Irvine, William T.M.
author Soni, Vishal
author_facet Soni, Vishal
Gomez, Leopoldo Raimundo
Irvine, William T.M.
author_role author
author2 Gomez, Leopoldo Raimundo
Irvine, William T.M.
author2_role author
author
dc.subject.none.fl_str_mv Inhomogeneous Crystals
Topological defects
Curved Crystals
topic Inhomogeneous Crystals
Topological defects
Curved Crystals
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Uniform triangular crystals are the ground state for particles that interact isotropically in two dimensions. However, when immersed in an external potential, for example, one arising from an electric field, a flow field, or gravity, the resulting phases are significantly distorted in a way reminiscent of conformal transformations of planar lattices. We study these "conformal crystals" using colloidal experiments and molecular dynamics simulations. By establishing a projection from these self-assembled inhomogeneous crystals to homogeneous crystals on curved surfaces, we are able to both predict the distribution of defects and establish that defects are an almost inevitable part of the ground state. We determine how the inherent geometry emerges from an interplay between the confining potential and the interparticle interactions. Using molecular dynamics simulations, we demonstrate the generic behavior of this emergent geometry and the resulting defect structures throughout a variety of physical systems.
Fil: Soni, Vishal. University of Chicago; Estados Unidos
Fil: Gómez, Leopoldo R.. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Física del Sur. Universidad Nacional del Sur. Departamento de Física. Instituto de Física del Sur; Argentina
Fil: Irvine, William T.M.. University of Chicago; Estados Unidos
description Uniform triangular crystals are the ground state for particles that interact isotropically in two dimensions. However, when immersed in an external potential, for example, one arising from an electric field, a flow field, or gravity, the resulting phases are significantly distorted in a way reminiscent of conformal transformations of planar lattices. We study these "conformal crystals" using colloidal experiments and molecular dynamics simulations. By establishing a projection from these self-assembled inhomogeneous crystals to homogeneous crystals on curved surfaces, we are able to both predict the distribution of defects and establish that defects are an almost inevitable part of the ground state. We determine how the inherent geometry emerges from an interplay between the confining potential and the interparticle interactions. Using molecular dynamics simulations, we demonstrate the generic behavior of this emergent geometry and the resulting defect structures throughout a variety of physical systems.
publishDate 2018
dc.date.none.fl_str_mv 2018-03
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/93402
Soni, Vishal; Gomez, Leopoldo Raimundo; Irvine, William T.M.; Emergent Geometry of Inhomogeneous Planar Crystals; American Physical Society; Physical Review X; 8; 1; 3-2018; 110391-1103917
2160-3308
CONICET Digital
CONICET
url http://hdl.handle.net/11336/93402
identifier_str_mv Soni, Vishal; Gomez, Leopoldo Raimundo; Irvine, William T.M.; Emergent Geometry of Inhomogeneous Planar Crystals; American Physical Society; Physical Review X; 8; 1; 3-2018; 110391-1103917
2160-3308
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://link.aps.org/doi/10.1103/PhysRevX.8.011039
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevX.8.011039
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.070432

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