Open AccessORDERS OF NEMATIC LIQUID CRYSTAL IN SOLUTION AND THE EFFECT OF EXTERNAL FIELDS ON THEM
Author(s) -
Liu He-Wen,
Tang Kai-Bin
Publication year - 1996
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.45.480
Subject(s) - liquid crystal , volume fraction , physics , condensed matter physics , phase (matter) , phase transition , mean field theory , square (algebra) , distribution (mathematics) , order (exchange) , materials science , thermodynamics , mathematical analysis , quantum mechanics , geometry , mathematics , finance , economics
Self-consistent equation for order parameter of nematic liquid crystal (LC) in solution is obtained on the basis of Lebwohl-Lasher model and mean-field approximation. Numerical calculation shows that LC in solution with different volume fractions all undergo the first-order phase transition at 2> =0.324 without external fields, and TN1 is proportional to the volume fraction, TφN1= Tφ=1N1φ. Under applied external fields, LCs undergo second-order phase transition at 2 > = 0.40. Distribution curves are in Ⅴ shape. The variation of the distribution mean square errors with> has a maximum at 2> = 0.20.