Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2001-08-28
Physics
Condensed Matter
Soft Condensed Matter
31 pages; 1 Fig. in GIF format, To be appear in Phys. Rev. E
Scientific paper
10.1103/PhysRevE.64.051705
Using the density functional formalism we derive expression for the distortion free energy for systems with continuous broken symmetry and use it to derive expression for the elastic constants of smectic phases in which director is tilted with respect to the smectic layer normal. As in the previous papers of the series (Phys. Rev. A {\bf 45}, 974 (1992), E {\bf 49}, 501, (1994)) the expressions for the elastic constants are written in terms of order and structural parameters. The structural parameters involve the generalised spherical harmonic coefficients of the direct pair correlation function of an effective isotropic liquid. The density of this effective isotropic liquid depends on the nature and amount of ordering present in the system and is evaluated self- consistently. We estimate the value of elastic constants using reasonable guess for the order and structural- parameters.
Ram Jokhan
Singh Yashwant
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