Theory of the dielectric susceptibility of liquid crystals with bent-core molecules

Details Theory of the dielectric susceptibility of liquid crystals with bent-core molecules Theory of the dielectric susceptibility of liquid crystals with bent-core molecules

2011-02-03

arxiv.org/abs/1102.0719v1

Physics

Condensed Matter

Soft Condensed Matter

18 pages, 6 figures, 1 table

Scientific paper

Statistical theory of the dielectric susceptibility of polar liquid crystals is proposed. The molecules are calamitic or bent-core but the permanent dipole moment is perpendicular to the molecule long axis. The ordering of the phase is described by means of the mean-field theory based on the Maier-Saupe approach. The theory is used to calculate the temperature dependence of the order parameters and the susceptibilities. The phase diagram with four phases is obtained: isotropic, uniaxial nematic, uniaxial ferroelectric, and biaxial ferroelectric. Four critical points are predicted.

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