1,721,053 research outputs found
The remodeling of the fibers texture Comment on "Towards a unified approach in the modeling of fibrosis: A review with research perspectives" by Martine Ben Amar and Carlo Bianca
No full textWeak Anchoring Effects in Electrically Driven Freedericksz Transitions
No full textWe study the equilibrium configurations of a nematic liquid crystal confined between two parallel plates, when an electric field is applied. We take into account the mutual interaction of the field and the material. We also analyse the effects of two possibly different weak anchoring potentials at the plates. We use asymptotic methods to study in detail two different regimes of the applied voltage. The former concerns applied voltages close to the Freedericksz and the saturation critical thresholds; the latter is the case of high applied potentials. We discuss the new effects that arise with respect to the partial electric coupling and the strong anchoring cases
Influence of K24 in periodic splay-twist Fréedericksz transitions
No full textWe study the effects of the saddle-splay constant K24 on the periodic splay-twist Fréedericksz transition in nematic liquid crystals. The nematic is confined between two parallel infinite plates with weak planar anchoring boundary conditions. The transition is triggered by a uniform magnetic field orthogonal to the delimiting plates. The analysis, performed within the framework of the Oseen-Zocher-Frank theory, reveals that the periodic splay-twist Fréedericksz transition occurs only for a ratio between the twist and the splay constant ϱ below a critical value ϱc. The critical threshold ϱc depends in turn on the anchoring strength and on the saddle-splay constant. In particular, we prove that the influence of K24 on the stripe thickness becomes very important whenever ϱ is just below ϱc. The adjustability of ϱc through surface treatments furnishes a useful method to measure K24 by using the periodic Fréedericksz transition
Corrigendum: Equilibrium of nematic vesicles (Journal of Physics A: Mathematical and Theoretical (2010) 43 (445207) DOI: 10.1088/1751-8113/43/44/445207)
No full text
Periodic splay-twist Fréedericksz transition for nematics confinedbetween two concentric cylinders
No full textHydrodynamic theory for nematic shells: the interplay among curvature, flow and alignment
Full text linkWe derive the hydrodynamic equations for nematic liquid crystals lying on curved substrates. We invoke
the Lagrange-Rayleigh variational principle to adapt the Ericksen-Leslie theory to two-dimensional nematics in
which a degenerate anchoring of the molecules on the substrate is enforced. The only constitutive assumptions
in this scheme concern the free-energy density, given by the two-dimensional Frank potential, and the density of
dissipation which is required to satisfy appropriate invariance requirements. The resulting equations of motion
couple the velocity field, the director alignment, and the curvature of the shell. To illustrate our findings, we
consider the effect of a simple shear flow on the alignment of a nematic lying on a cylindrical shell
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