Keywords
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Direct correlation function, elastic constants, Gay-Berne, nematic liquid
crystals, prolate molecule
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Abstract
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In our earlier work [Phys. Rev. E, 82, 041701 (2010)], the bulk elastic constants were
calculated using Poniewierski-Stecki expressions and the new direct correlation function.
We calculated the bulk elastic constants,K11,K22 and K33 of Gay-Berne nematic
liquid crystals at constant temperature and density using the expressions proposed by
Stelzer and co-workers [J. Chem. Phys. 103, 3098 (1995)]. The angular coefficients of
the direct correlation function, which enter the final equations, have been determined
using the new direct correlation and pair distribution functions. By study of the model at
a fixed temperature over a wide range of densities for molecular elongation, k = 3, the
detailed information is provided on the elastic behavior of the Gay-Berne nematic. The
results of our calculations are qualitatively in agreement with the molecular dynamic
simulation results.
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