Ball, J. M. and Majumdar, Apala (2009) Nematic liquid crystals : from MaierSaupe to a continuum theory. Not specified . (Submitted)

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Abstract
We define a continuum energy functional in terms of the meanfield MaierSaupe free energy, that describes both spatially homogeneous and inhomogeneous systems. The MaierSaupe theory defines the main macroscopic variable, the Qtensor order parameter, in terms of the second moment of a probability distribution function. This definition requires the eigenvalues of Q to be bounded both from below and above. We define a thermotropic bulk potential which blows up whenever the eigenvalues tend to these lower and upper bounds. This is in contrast to the Landaude Gennes theory which has no such penalization. We study the asymptotics of this bulk potential in different regimes and discuss phase transitions predicted by this model.
Item Type:  Article 

Subjects:  D  G > General 
Research Groups:  Oxford Centre for Collaborative Applied Mathematics 
ID Code:  843 
Deposited By:  Dr M. Stoll 
Deposited On:  16 Oct 2009 06:37 
Last Modified:  29 May 2015 18:32 
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