Lattice boltzmann scheme for modeling liquid crystal dynamics: Zenithal bistable device in the presence of defect motion

SPENCER, T. J. and CARE, C. M. (2006). Lattice boltzmann scheme for modeling liquid crystal dynamics: Zenithal bistable device in the presence of defect motion. Physical review E, 74 (6), 061708.

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Link to published version:: 10.1103/PhysRevE.74.061708

Abstract

A lattice Boltzmann scheme is presented which recovers the dynamics of nematic and chiral liquid crystals; the method essentially gives solutions to the Qian-Sheng [Phys. Rev. E 58, 7475 (1998)] equations for the evolution of the velocity and tensor order-parameter fields. The resulting algorithm is able to include five independent Leslie viscosities, a Landau-deGennes free energy which introduces three or more elastic constants, a temperature dependent order parameter, surface anchoring and viscosity coefficients, flexoelectric and order electricity, and chirality. When combined with a solver for the Maxwell equations associated with the electric field, the algorithm is able to provide a full “device solver” for a liquid crystal display. Coupled lattice Boltzmann schemes are used to capture the evolution of the fast momentum and slow director motions in a computationally efficient way. The method is shown to give results in close agreement with analytical results for a number of validating examples. The use of the method is illustrated through the simulation of the motion of defects in a zenithal bistable liquid crystal device.

Item Type: Article
Additional Information: ©2006 The American Physical Society
Research Institute, Centre or Group: Materials and Engineering Research Institute > Polymers Nanocomposites and Modelling Research Centre > Materials and Fluid Flow Modelling Group
Identification Number: 10.1103/PhysRevE.74.061708
Depositing User: Ann Betterton
Date Deposited: 22 Oct 2007
Last Modified: 09 Aug 2010 14:24
URI: http://shura.shu.ac.uk/id/eprint/893

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