Dynamics of smectic elastomers
arXiv:cond-mat/0611425 · doi:10.1103/PhysRevE.75.031711
Abstract
We study the low-frequency, long-wavelength dynamics of liquid crystal elastomers, crosslinked in the smectic- phase, in their smectic-, biaxial smectic and smectic- phases. Two different yet related formulations are employed. One formulation describes the pure hydrodynamics and does not explicitly involve the Frank director, which relaxes to its local equilibrium value in a non-hydrodynamic time. The other formulation explicitly treats the director and applies beyond the hydrodynamic limit. We compare the low-frequency, long-wavelength dynamics of smectic- elastomers to that of nematics and show that the two are closely related. For the biaxial smectic and the smectic- phases, we calculate sound velocities and the mode structure in certain symmetry directions. For the smectic- elastomers, in addition, we discuss in some detail their possible behavior in rheology experiments.
19 pages, 3 figures
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