Open AccessPhase－Induced Biaxiality in Cholesteric Liquid Crystals
Author(s) -
Bing Han,
Gang Yang
Publication year - 2000
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.49.38
Subject(s) - helmholtz free energy , tensor (intrinsic definition) , phase (matter) , liquid crystal , range (aeronautics) , function (biology) , physics , energy (signal processing) , order (exchange) , distribution function , condensed matter physics , landau theory , distribution (mathematics) , thermodynamics , materials science , phase transition , mathematical analysis , quantum mechanics , mathematics , pure mathematics , finance , evolutionary biology , biology , economics , composite material
The liquid cell theory can be successfully applied to cholesteric liquid crystals. Using the statistical methods and defining an order parameter tensor we ded uce the distribution function and the Helmholtz free energy which is the functi on of the order parameter tensor and its derivatives. The expression of the free e nergy we obtain has the same form with of the Landau theory. In a local coordina te system the longrange orientational parameter Sand the phaseinduced biaxiality order parameter are defined. By minimizing the Hemholtz free energy we numerically calculate the temperature dependence of Sand .The r esults agree with the experiment.