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dc.contributor.authorZhou, Hong
dc.contributor.authorWang, Hongyun
dc.date.accessioned2013-01-18T19:11:40Z
dc.date.available2013-01-18T19:11:40Z
dc.date.issued2007
dc.identifier.citationCommunications in Mathematical Sciences / Volume 5, Issue 1, pp. 113-132
dc.identifier.urihttp://hdl.handle.net/10945/25504
dc.descriptionThe article of record as published may be located at http://www.intlpress.com/CMS/p/2007/issue5-1/CMS_5_1_113-132.pdfen_US
dc.description.abstractWe study the 2-D Smoluchowski equation governing the evolution of orientational distribution of rodlike molecules under an imposed weak shear. We first recover the well-known isotropic-to-nematic phase transition result [G. Marrucci and P.L. Maffettone, Description of the liquid-crystalline phase of rodlike polymeres at high shear rates, Macromolecules, 22, 4446-4451, 1989]; in the absence of flow the isotropic-nematic phase transition occurs at U = 2 where U is the normalized polymer concentration, representing the intensity of the Maier-Saupe interaction potential. The we show that in the presence of an imposed weak shear there is a threshold (U-0 approximate to 2.41144646) for U: When U U-0, the angular velocity of the director is always positive and the orientational distribution will not reach a steady state. Finally, the effect of weak shear on the phase diagram is investigated. It is found that the phase relation under weak shear can be obtained from the pure nematic phase relation through a simple algebraic transformation.en_US
dc.rightsThis 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.titleSteady states and dynamics of 2-D nematic polymers driven by an imposed weak shearen_US
dc.typeArticleen_US
dc.contributor.departmentApplied Mathematics
dc.subject.authorNematic polymersen_US
dc.subject.authorKinetic theoryen_US
dc.subject.authorMaier-Saupe potentialen_US
dc.subject.authorShear flowen_US
dc.subject.authorPerturbation analysisen_US


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