Nonparallel Solutions of Extended Nematic Polymers Under an External Field
NAVAL POSTGRADUATE SCHOOL MONTEREY CA
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We continue the study on equilibria of the Smoluchowski equation for dilute solutions of rigid extended dipolar nematics and dispersions under an imposed electric or magnetic field. We first provide an alternative proof for the theorem that all equilibria are dipolar with the polarity vector parallel to the external field direction if the strength of the permanent dipole is larger than or equal to the product of the external field and the anisotropy parameter. The nonparallel equilibria are analyzed and the asymptotic behavior is studied. Finally, the asymptotic results are validated by direct numerical simulations.
- Numerical Mathematics
- Electricity and Magnetism