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

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## Abstract

We define a continuum energy functional in terms of the mean-field Maier-Saupe free energy, that describes both spatially homogeneous and inhomogeneous systems. The Maier-Saupe theory defines the main macroscopic variable, the Q-tensor 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 Landau-de 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 |
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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 07:37 |

Last Modified: | 16 Oct 2009 07:37 |

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