Title :
Finite-element modeling of liquid-crystal hydrodynamics with a variable degree of order
Author :
James, Richard ; Willman, Eero ; Fernández, F. Aníbal ; Day, Sally E.
Author_Institution :
Dept. of Electron. & Electr. Eng., Univ. Coll. London
fDate :
7/1/2006 12:00:00 AM
Abstract :
A finite-element model of liquid-crystal hydrodynamics based on the Qian and Sheng formulation has been developed. This formulation is a generalization of the Ericksen-Leslie theory to include variations in the order parameter, allowing for a proper description of disclinations. The present implementation is well suited to treat properly the various length scales necessary to model large regions yet resolve the rapid variations in the order parameter in proximity to disclinations
Keywords :
disclinations; finite element analysis; hydrodynamics; liquid crystals; Ericksen-Leslie theory; finite-element modeling; liquid-crystal hydrodynamics; variable order parameters; Acceleration; Finite difference methods; Finite element methods; Hydrodynamics; Integral equations; Lattice Boltzmann methods; Steady-state; Tensile stress; Viscosity; Voltage; Finite elements; liquid-crystal (LC) modeling; variable order parameter;
Journal_Title :
Electron Devices, IEEE Transactions on
DOI :
10.1109/TED.2006.876039
