Design of effective bulk potentials for nematic liquid crystals via colloidal homogenisation

We consider a Landau–de Gennes model for a suspension of small colloidal inclusions in a nematic host. We impose suitable anchoring conditions at the boundary of the inclusions, and we work in the dilute regime — i.e. the size of the inclusions is much smaller than the typical separation distance be...

Descripción completa

Detalles Bibliográficos
Autores: Canevari, G., Zarnescu, A.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2020
País:España
Institución:Basque Center for Applied Mathematics (BCAM)
Repositorio:BIRD. BCAM's Institutional Repository Data
OAI Identifier:oai:bird.bcamath.org:20.500.11824/1125
Acceso en línea:http://hdl.handle.net/20.500.11824/1125
Access Level:acceso abierto
Palabra clave:Liquid crystals, Landau–de Gennes, bulk potential, nematic colloids
id ES_5cfeade41734da37cb267da45c4cbd28
oai_identifier_str oai:bird.bcamath.org:20.500.11824/1125
network_acronym_str ES
network_name_str España
repository_id_str
spelling Design of effective bulk potentials for nematic liquid crystals via colloidal homogenisationCanevari, G.Zarnescu, A.Liquid crystals, Landau–de Gennes, bulk potential, nematic colloidsWe consider a Landau–de Gennes model for a suspension of small colloidal inclusions in a nematic host. We impose suitable anchoring conditions at the boundary of the inclusions, and we work in the dilute regime — i.e. the size of the inclusions is much smaller than the typical separation distance between them, so that the total volume occupied by the inclusions is small. By studying the homogenised limit, and proving rigorous convergence results for local minimisers, we compute the effective free energy for the doped material. In particular, we show that not only the phase transition temperature, but also any coefficient of the quartic Landau–de Gennes bulk potential can be tuned, by suitably choosing the surface anchoring energy density.202020202020info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/20.500.11824/1125reponame:BIRD. BCAM's Institutional Repository Datainstname:Basque Center for Applied Mathematics (BCAM)Ingléshttps://www.worldscientific.com/doi/abs/10.1142/S0218202520500086info:eu-repo/grantAgreement/MINECO//SEV-2017-0718info:eu-repo/grantAgreement/MINECO//MTM2017-82184-Rinfo:eu-repo/grantAgreement/Gobierno Vasco/BERC/BERC.2018-2021Reconocimiento-NoComercial-CompartirIgual 3.0 Españahttp://creativecommons.org/licenses/by-nc-sa/3.0/es/info:eu-repo/semantics/openAccessoai:bird.bcamath.org:20.500.11824/11252026-06-19T12:47:47Z
dc.title.none.fl_str_mv Design of effective bulk potentials for nematic liquid crystals via colloidal homogenisation
title Design of effective bulk potentials for nematic liquid crystals via colloidal homogenisation
spellingShingle Design of effective bulk potentials for nematic liquid crystals via colloidal homogenisation
Canevari, G.
Liquid crystals, Landau–de Gennes, bulk potential, nematic colloids
title_short Design of effective bulk potentials for nematic liquid crystals via colloidal homogenisation
title_full Design of effective bulk potentials for nematic liquid crystals via colloidal homogenisation
title_fullStr Design of effective bulk potentials for nematic liquid crystals via colloidal homogenisation
title_full_unstemmed Design of effective bulk potentials for nematic liquid crystals via colloidal homogenisation
title_sort Design of effective bulk potentials for nematic liquid crystals via colloidal homogenisation
dc.creator.none.fl_str_mv Canevari, G.
Zarnescu, A.
author Canevari, G.
author_facet Canevari, G.
Zarnescu, A.
author_role author
author2 Zarnescu, A.
author2_role author
dc.subject.none.fl_str_mv Liquid crystals, Landau–de Gennes, bulk potential, nematic colloids
topic Liquid crystals, Landau–de Gennes, bulk potential, nematic colloids
description We consider a Landau–de Gennes model for a suspension of small colloidal inclusions in a nematic host. We impose suitable anchoring conditions at the boundary of the inclusions, and we work in the dilute regime — i.e. the size of the inclusions is much smaller than the typical separation distance between them, so that the total volume occupied by the inclusions is small. By studying the homogenised limit, and proving rigorous convergence results for local minimisers, we compute the effective free energy for the doped material. In particular, we show that not only the phase transition temperature, but also any coefficient of the quartic Landau–de Gennes bulk potential can be tuned, by suitably choosing the surface anchoring energy density.
publishDate 2020
dc.date.none.fl_str_mv 2020
2020
2020
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/20.500.11824/1125
url http://hdl.handle.net/20.500.11824/1125
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv https://www.worldscientific.com/doi/abs/10.1142/S0218202520500086
info:eu-repo/grantAgreement/MINECO//SEV-2017-0718
info:eu-repo/grantAgreement/MINECO//MTM2017-82184-R
info:eu-repo/grantAgreement/Gobierno Vasco/BERC/BERC.2018-2021
dc.rights.none.fl_str_mv Reconocimiento-NoComercial-CompartirIgual 3.0 España
http://creativecommons.org/licenses/by-nc-sa/3.0/es/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Reconocimiento-NoComercial-CompartirIgual 3.0 España
http://creativecommons.org/licenses/by-nc-sa/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:BIRD. BCAM's Institutional Repository Data
instname:Basque Center for Applied Mathematics (BCAM)
instname_str Basque Center for Applied Mathematics (BCAM)
reponame_str BIRD. BCAM's Institutional Repository Data
collection BIRD. BCAM's Institutional Repository Data
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869408969684942848
score 15.301603

Similares en LA Referencia