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SUMMARY:Satisfaction of the eigenvalue constraints on the $Q$-tensor - Bal
 l\, J (University of Oxford)
DTSTART:20130318T090000Z
DTEND:20130318T095000Z
UID:TALK43984@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:We discuss how Onsager theory with the Maier-Saupe interaction
  leads naturally to a bulk free energy depending on the $Q$-tensor that bl
 ows up as the minimum eigenvalue $lambda_{\nm min}(Q)\nightarrow -1/3$\, u
 sing methods closely related to those of Katriel\, Kventsel\, Luckhurst an
 d Sluckin (1986). With this bulk energy\, and in the one constant approxim
 ation for the elastic energy\, it is shown that for suitable boundary cond
 itions\, minimizers $Q$ of the total free energy for a nematic liquid crys
 tal filling a region $Omega$ satisfy the physical requirement that $inf_{x
 inOmega}lambda_{\nm min}(Q(x))>-1/3$. \n
LOCATION:Seminar Room 1\, Newton Institute
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