A novel method for constructing a nonlinear smectic layer function is outlined and employed to construct free energy density functions for two theoretical experiments involving cylindrically layered smectic A liquid crystals. Director tilt on the boundaries is imposed and it is assumed that the layer normal a and the director n are free to decouple. The free energy density functions are minimized to reveal coupled differential equations which describe a and n. Comments are made on cylindrical systems where splay energies are negligible. Solutions are given and the results discussed.
|Journal||Journal of Physics A: Mathematical and Theoretical|
|Publication status||Published - 26 Aug 2008|
- smectic A
- director tilt
- nonlinear layer function