Poincaré-like approach to Landau theory. II. Simplifying the Landau-deGennes potential for nematic liquid crystals
Articolo
Data di Pubblicazione:
2015
Citazione:
Poincaré-like approach to Landau theory. II. Simplifying the Landau-deGennes potential for nematic liquid crystals / G. Gaeta. - In: JOURNAL OF MATHEMATICAL PHYSICS. - ISSN 0022-2488. - 56:8(2015), pp. 083505.1-083505.25.
Abstract:
In a previous paper we have discussed how the Landau potential (entering in Landau theory of phase transitions) can be simplified
using the Poincaré normalization procedure. Here we apply this approach to the Landau-deGennes functional for the isotropic-nematic transitions, and transitions between different nematic phases, in liquid crystals. We give special attention to applying our method in the region near the main transition point, showing in full detail how this can be done via a suitable simple modification of our Poincaré-like method. We also consider the question if biaxial phases can branch directly off the fully symmetric state; some partial results in this irection are presented.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
liquid crystals; Landau theory; phase transitions
Elenco autori:
G. Gaeta
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