Fully attractive and partly repulsive molecular interactions, characteristic of biaxial liquid crystal molecules, are described by a class of quadratic Hamiltonians, originally put forward by Straley. The partly repulsive interactions require a minimax principle for the associated mean-field free energy. By analyzing the different phases in a bifurcation scenario, we show that the phase diagram described by Sonnet et al. [Phys. Rev. E 67 061701 (2003)] is universal. Our model predictions are in agreement with recent observations on both V-shaped and tetrapodal molecules.
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Titolo: | Universal mean-field phase diagram for biaxial nematics | |
Autori: | ||
Data di pubblicazione: | 2008 | |
Rivista: | ||
Abstract: | Fully attractive and partly repulsive molecular interactions, characteristic of biaxial liquid crystal molecules, are described by a class of quadratic Hamiltonians, originally put forward by Straley. The partly repulsive interactions require a minimax principle for the associated mean-field free energy. By analyzing the different phases in a bifurcation scenario, we show that the phase diagram described by Sonnet et al. [Phys. Rev. E 67 061701 (2003)] is universal. Our model predictions are in agreement with recent observations on both V-shaped and tetrapodal molecules. | |
Handle: | http://hdl.handle.net/11571/103776 | |
Appare nelle tipologie: | 1.1 Articolo in rivista |