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EnglishWe study a class of quadratic Hamiltonians which describe both fully attractive and partly repulsive molecular interactions, characteristic of biaxial liquid crystal molecules. To treat the partly repulsive interactions we establish a minimax principle for the associated mean-field free energy. We show that the phase diagram described by Sonnet et al. [Phys. Rev. E 67, 061701 (2003)] is universal. Our predictions are in good agreement with the recent observations on both V-shaped and tetrapodal molecules.
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http://hdl.handle.net/11571/103769| Titolo: | Universal mean-field phase diagram for biaxial nematics obtained from a minimax principle |
| Autori interni: | BISI, FULVIO VIRGA, EPIFANIO GUIDO GIOVANNI DE MATTEIS, GIOVANNI |
| Data di pubblicazione: | 2006 |
| Rivista: | PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS |
| Abstract: | We study a class of quadratic Hamiltonians which describe both fully attractive and partly repulsive molecular interactions, characteristic of biaxial liquid crystal molecules. To treat the partly repulsive interactions we establish a minimax principle for the associated mean-field free energy. We show that the phase diagram described by Sonnet et al. [Phys. Rev. E 67, 061701 (2003)] is universal. Our predictions are in good agreement with the recent observations on both V-shaped and tetrapodal molecules. |
| Handle: | http://hdl.handle.net/11571/103769 |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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