Freedericksz Transition in Nematics: Effects of Non-Linear Shear Profile and Elastic Anisotropy
Document Type
Article
Publication Date
12-1-2009
Abstract
Using the nematodynamic equations of Ericksen and Leslie, we investigate the nature of the Freedericksz transition for elastically anisotropic nematic liquid crystals between parallel plates and subject to a shear and an external magnetic field. Two types of velocity profiles are considered: the simplified (linear) profile where the velocity gradient in the bulk of the sample is constant and a more realistic non-linear profile. We investigate and characterize the differences in the director distortions and the onset of transition in these cases for a range of external field strengths.
DOI
10.1080/15421400903065747
MSU Digital Commons Citation
Mukherjee, Bagisa and Mukherjee, Arup, "Freedericksz Transition in Nematics: Effects of Non-Linear Shear Profile and Elastic Anisotropy" (2009). Department of Mathematics Facuty Scholarship and Creative Works. 81.
https://digitalcommons.montclair.edu/mathsci-facpubs/81