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SUMMARY:Modelling a planar bistable device on different scales - Majumdar\
 , A (University of Bath)
DTSTART:20130319T095000Z
DTEND:20130319T104000Z
UID:TALK44003@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:This talk focuses on the development\, analysis and numerical 
 implementation of mathematical models for a planar bistable nematic device
  reported in a paper by Tsakonas\, Davidson\, Brown and Mottram. We model 
 this device within a continuum Landau-de Gennes framework and investigate 
 the cases of strong and weak anchoring separately. In both cases\, we find
  six distinct states and compute bifurcation diagrams as a function of the
  anchoring strength. We introduce the concept of an optimal boundary condi
 tion that prescribes the optimal interpolation between defects at the vert
 ices. We develop a parallel lattice-based Landau-de Gennes interaction pot
 ential\, by analogy with the Lebwohl-Lasher lattice-based model and study 
 multistability within this discrete framework too by means of Monte Carlo 
 methods. We also use the off-lattice based Gay Berne model to study the st
 ructure of the stable states. The different numerical approaches are compa
 red and we discuss their relative strengths a nd shortcomings. We conclude
  by a brief discussion on a multiscale modelling approach wherein we can c
 ouple a lattice-based interaction potential to a conventional continuum mo
 del. This is joint work with Chong Luo and Radek Erban.\n\n
LOCATION:Seminar Room 1\, Newton Institute
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