Symmetry breaking of nematic umbilical defects through an amplitude equation
| Author | dc.contributor.author | Clerc Gavilán, Marcel | |
| Author | dc.contributor.author | Vidal Henríquez, Estefanía | es_CL |
| Author | dc.contributor.author | Dávila Bonczos, Juan | es_CL |
| Author | dc.contributor.author | Kowalczyk, Michał | es_CL |
| Admission date | dc.date.accessioned | 2015-01-05T18:53:34Z | |
| Available date | dc.date.available | 2015-01-05T18:53:34Z | |
| Publication date | dc.date.issued | 2014 | |
| Cita de ítem | dc.identifier.citation | Physical Review E 90, 012507 (2014) | en_US |
| Identifier | dc.identifier.other | DOI: 10.1103/PhysRevE.90.012507 | |
| Identifier | dc.identifier.uri | https://repositorio.uchile.cl/handle/2250/126904 | |
| General note | dc.description | Artículo de publicación ISI | en_US |
| Abstract | dc.description.abstract | The existence, stability properties, and bifurcation diagram of the nematic umbilical defects is studied. Close to the Fr´eedericksz transition of nematic liquid crystalswith negative anisotropic dielectric constant and homeotropic anchoring, an anisotropic Ginzburg-Landau equation for the amplitude of the tilt of the director away from the vertical axis is derived by taking the three-dimensional (3D) to 2Dlimit of the Frank-Oseen model. The anisotropic Ginzburg-Landau equation allows us to reveal themechanism of symmetry breaking of nematic umbilical defects. The positive defect is fully characterized as a function of the anisotropy, while the negative defect is characterized perturbatively. Numerical simulations show quite good agreement with the analytical results. | en_US |
| Patrocinador | dc.description.sponsorship | The authors thank C. Falcon for fruitful discussions. M.G.C.,M.K., and J.D. thank the financial support of FONDECYT Projects No. 1120320, No. 1130126, and No. 1130360, respectively. E.V-H. thanks CONICYT-PCHA/Mag´ıster Nacional/ 2013 - 221320023. M.K. and J.D. were partially supported by Fondo Basal CMM-Chile. | en_US |
| Lenguage | dc.language.iso | en | en_US |
| Publisher | dc.publisher | American Physical Society | en_US |
| Type of license | dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Chile | * |
| Link to License | dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/cl/ | * |
| Título | dc.title | Symmetry breaking of nematic umbilical defects through an amplitude equation | en_US |
| Document type | dc.type | Artículo de revista |
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