The Hydrodynamics of Disclinations in Nematics

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Abstract
A theory of nematohydrodynamics in the presence of a small amount of disclinations is given. The Ericksen-Leslie theory is contained within it. Scaling found by Ericksen in normal nematohydrodynamics is not a property of the new theory. However for Poiseuille flow in a capillary, it is shown that disclinations lying along the flow are consistent with the equations; moreover, for such a case there is effectively Ericksen scaling, and consequently universal dependences previously predicted for effective viscosities should hold.

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