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dc.contributor.authorCanevari G.en_US
dc.contributor.authorZarnescu A.en_US
dc.date.accessioned2020-07-14T06:13:47Z
dc.date.available2020-07-14T06:13:47Z
dc.date.issued2020-02-01
dc.identifier.urihttp://hdl.handle.net/20.500.11824/1125
dc.description.abstractWe 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.en_US
dc.formatapplication/pdfen_US
dc.language.isoengen_US
dc.publisherMathematical Models and Methods in Applied Sciencesen_US
dc.relationES/1PE/SEV-2017-0718en_US
dc.relationES/1PE/MTM2017-82184-Ren_US
dc.relationEUS/BERC/BERC.2018-2021en_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectLiquid crystals, Landau–de Gennes, bulk potential, nematic colloidsen_US
dc.titleDesign of effective bulk potentials for nematic liquid crystals via colloidal homogenisationen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.typeinfo:eu-repo/semantics/publishedVersionen_US
dc.identifier.doi10.1142/S0218202520500086
dc.relation.publisherversionhttps://www.worldscientific.com/doi/abs/10.1142/S0218202520500086en_US


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