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RESEARCHARTICLE Copyright 2010 American Scientific Publishers
 

Summary: RESEARCHARTICLE
Copyright © 2010 American Scientific Publishers
All rights reserved
Printed in the United States of America
Journal of
Computational and Theoretical Nanoscience
Vol. 7, 1­7, 2010
Layer Undulations in Smectic a Liquid Crystals
Carlos J. García-Cervera
and Sookyung Joo
Mathematics Department, University of California, Santa Barbara, CA 93106
We investigate instabilities of smectic A liquid crystals when a magnetic field is applied in the
direction parallel to smectic layers. We use the Landau-de Gennes model of smectic A liquid crystals
to characterize the critical magnetic field. When smectic A liquid crystals are confined between
parallel plates, we derive analytic estimates for the magnetic field strength, at which the undeformed
state loses its stability. We also present numerical simulations to confirm the Helfrich-Hurault effect
due to the applied magnetic field.
Keywords: Liquid Crystals, Landau-de Gennes Model, Helfrich-Hurault Effect.
1. INTRODUCTION
We consider smectic A liquid crystals confined in two flat

  

Source: Akhmedov, Azer - Department of Mathematics, University of California at Santa Barbara

 

Collections: Mathematics