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dc.contributor.authorCeuca, R.D. 
dc.date.accessioned2022-04-13T17:32:40Z
dc.date.available2022-04-13T17:32:40Z
dc.date.issued2021-01-01
dc.identifier.issn12928119
dc.identifier.urihttp://hdl.handle.net/20.500.11824/1464
dc.description.abstractWe consider a Landau-de Gennes model for a connected cubic lattice scaffold in a nematic host, in a dilute regime. We analyse the homogenised limit for both cases in which the lattice of embedded particles presents or not cubic symmetry and then we compute the free effective energy of the composite material. In the cubic symmetry case, we impose different types of surface anchoring energy densities, such as quartic, Rapini-Papoular or more general versions, and, in this case, we show that we can tune any coefficient from the corresponding bulk potential, especially the phase transition temperature. In the case with loss of cubic symmetry, we prove similar results in which the effective free energy functional has now an additional term, which describes a change in the preferred alignment of the liquid crystal particles inside the domain. Moreover, we compute the rate of convergence for how fast the surface energies converge to the homogenised one and also for how fast the minimisers of the free energies tend to the minimiser of the homogenised free energy.en_US
dc.description.sponsorshipSEV-2013-0323-17-1 (BES-2017-080630)en_US
dc.formatapplication/pdfen_US
dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectCubic microlatticesen_US
dc.subjectGamma-convergenceen_US
dc.subjectLandau-de Gennesen_US
dc.subjectLiquid crystalsen_US
dc.titleCubic microlattices embedded in nematic liquid crystals: A Landau-de Gennes studyen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1051/cocv/2021093en_US
dc.relation.publisherversionhttps://www.esaim-cocv.org/articles/cocv/abs/2021/02/cocv200179/cocv200179.htmlen_US
dc.relation.projectIDinfo:eu-repo/grantAgreement/MINECO//MTM2017-82184-Ren_US
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersionen_US
dc.journal.titleESAIM - Control, Optimisation and Calculus of Variationsen_US
dc.volume.number27en_US
dc.issue.numberESAIM: COCV Volume 27, 2021, Article Number 95 - Published online 06.10.2021en_US


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Reconocimiento-NoComercial-CompartirIgual 3.0 España
Except where otherwise noted, this item's license is described as Reconocimiento-NoComercial-CompartirIgual 3.0 España