Nonparallel solutions of extended nematic polymers under an external field
dc.contributor.author | Zhou, Hong | |
dc.contributor.author | Wang, Hongyun | |
dc.contributor.author | Wang, Qi | |
dc.date | 2007 | |
dc.date.accessioned | 2013-01-18T19:11:50Z | |
dc.date.available | 2013-01-18T19:11:50Z | |
dc.date.issued | 2007 | |
dc.identifier.citation | Discrete and Continuous Dynamical Systems-Series B / Volume 7, pp. 907-929 | |
dc.identifier.uri | https://hdl.handle.net/10945/25544 | |
dc.description | The article of record as published may be located at http://dx.doi.org/10.3934/dcdsb.2007.7.907ᄊ? | en_US |
dc.description.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 [25]. 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 (mu) is larger than or equal to the product of the external field (E) and the anisotropy parameter (alpha(0)) (i.e. mu >= \alpha(0)\E). Then, we show that when mu = 1 for the intermolecular dipole-dipole interaction strength (a) such that all equilibria are either isotropic or parallel to the external field if alpha alpha*. The nonparallel equilibria are analyzed and the asymptotic behavior of alpha* is studied. Finally, the asymptotic results are validated by direct numerical simulations. | en_US |
dc.rights | This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States. | en_US |
dc.title | Nonparallel solutions of extended nematic polymers under an external field | en_US |
dc.type | Article | en_US |
dc.contributor.department | Applied Mathematics |