Lagrange Instability of Geodesics in Curved Double Twisted Liquid Crystals - Condensed Matter > Soft Condensed MatterReportar como inadecuado




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Abstract: It is shown that curved and flat helical double twisted liquid crystal DTLCin blue phase, can be unstable stable depending of the sign, negativepositive of sectional curvature, depending on the pitch of the helix of thenematic crystal. In both cases Cartan torsion is presented. It is also shownthat the instability or stability depends on the value of the pitch of thehelix in nematic crystals. Frank energy stability A similar result using themethod of Frank energy stability in the twist of cholesteric liquid crystal wasgiven by Kiselev and Sluckin PRE 712005, where the free twist numberdetermines the equilibrium value of the cholesteric liquid crystals CLC pitchof the helix. As a final example we solve the geodesic equations in twistednematics with variable pitch helix and non-constant torsion. Thisnon-Riemannian geometrical approach, also seems to unify two recent analysis ofcylindrical columns given by Santangelo et al PRL 99,2007 and the curvedcrystal endowed with torsion, given by Vitelli et al Proc Nat Acad Sci2006. Stability of toroidal curved surfaces were also previously consideredby Bowick et al PRE 69,2004, as an example of curvature-induced defect.Investigation of the Lagrangean instability may be useful in the investigationof HIV viruses and proteins.



Autor: Garcia de Andrade

Fuente: https://arxiv.org/



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