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Hydrodynamics of polar liquid crystals | William Kung
; M Cristina Marchetti
; Karl Saunders
; | Date: |
28 Feb 2006 | Journal: | Phys Rev E, 73 (3 Pt 1), 031708 | Abstract: | Starting from a microscopic definition of an alignment vector proportional to the polarization, we discuss the hydrodynamics of polar liquid crystals with local C infinity v symmetry. The free energy for polar liquid crystals differs from that of nematic liquid crystals (D infinity h) in that it contains terms violating the n --> -n symmetry. First we show that these Z2-odd terms induce a general splay instability of a uniform polarized state in a range of parameters. Next we use the general Poisson-bracket formalism to derive the hydrodynamic equations of the system in the polarized state. The structure of the linear hydrodynamic modes confirms the existence of the splay instability. | Source: | PubMed, pmid16605547 | Services: | Forum | Review | Favorites |
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