Accession Number:

ADA488473

Title:

Nonparallel Solutions of Extended Nematic Polymers Under an External Field

Descriptive Note:

Journal article

Corporate Author:

NAVAL POSTGRADUATE SCHOOL MONTEREY CA

Personal Author(s):

Report Date:

2007-06-01

Pagination or Media Count:

24.0

Abstract:

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.

Subject Categories:

  • Numerical Mathematics
  • Electricity and Magnetism

Distribution Statement:

APPROVED FOR PUBLIC RELEASE