We study a two-dimensional model describing spatial variations of orientational ordering in nematic liquid crystals. In particular, we show that the spatially extended Onsager- Maier-Saupe free energy may be decomposed into Landau-de Gennes-type and relative entropy-type contributions. We then prove that in the high concentration limit the states of the system display characteristic vortex-like patterns and derive asymptotic expansion for the free energy of the system.
|Translated title of the contribution||Vortices in two-dimensional nematics|
|Pages (from-to)||917 - 938|
|Number of pages||22|
|Journal||Communications in Mathematical Sciences|
|Volume||7, issue 4|
|Publication status||Published - Dec 2009|