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pro vyhledávání: '"Cody D. Schimming"'
Autor:
Cody D. Schimming, Jorge Viñals
An exact kinematic law for the motion of disclination lines in nematic liquid crystals as a function of the tensor order parameter $\mathbf{Q}$ is derived. Unlike other order parameter fields that become singular at their respective defect cores, the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::60c233aa4807bfcc466451ea282b24a7
http://arxiv.org/abs/2212.10620
http://arxiv.org/abs/2212.10620
Autor:
Cody D. Schimming, Jorge Viñals
We study two dimensional tactoids in nematic liquid crystals by using a $\mathbf{Q}$-tensor representation. A bulk free energy of the Maier-Saupe form with eigenvalue constraints on $\mathbf{Q}$, plus elastic terms up to cubic order in $\mathbf{Q}$ a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dc3cf050f9e8215ad008855d52fdbfb1
Autor:
Cody D. Schimming, Jorge Viñals
We introduce a characterization of disclination lines in three dimensional nematic liquid crystals as a tensor quantity related to the so called rotation vector around the line. This quantity is expressed in terms of the nematic tensor order paramete
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7e9ec17937c53baecf213738e7b9d64d
We present a numerical method, based on a tensor order parameter description of a nematic phase, that allows fully anisotropic elasticity. Our method thus extends the Landau-de Gennes $\mathbf{Q}$-tensor theory to anisotropic phases. A microscopic mo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::38757c29e27201875a9335ba5eb5c899
http://arxiv.org/abs/2105.13317
http://arxiv.org/abs/2105.13317
Autor:
Jorge Viñals, Cody D. Schimming
Publikováno v:
Physical review. E. 102(1-1)
Disclination configurations of a nematic liquid crystal are studied within a self-consistent molecular field theory. The theory is based on a tensor order parameter, and can accommodate anisotropic elastic energies without the known divergences in th
Autor:
Cody D. Schimming, Jorge Viñals
Publikováno v:
Physical review. E. 101(3-1)
Nematic liquid crystals exhibit configurations in which the underlying ordering changes markedly on macroscopic length scales. Such structures include topological defects in the nematic phase and tactoids within nematic-isotropic coexistence. We disc