Steady states and their stability of homogeneous, rigid, extended nematic polymers under imposed magnetic fields
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Authors
Zhou, Hong
Ji, Guanghua
Wang, Qi
Zhang, Pingwen
Wang, Hongyun
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Date of Issue
2007
Date
2007
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Abstract
We study the steady state phase behavior of homogeneous, rigid, extended (polar)
nematic polymers or nematic dispersions under imposed magnetic (or electric fields), in which the
intermolecular dipole-dipole and excluded volume interaction as well as external field contribution are
accounted for. We completely characterize the phase diagram for polar nematics with and without
permanent magnetic moments (or dipoles). For nematics without magnetic moments, the steady
state is either purely nematic or polar depending on the strength of the excluded volume and the
dipole-dipole interaction, in which the nonzero polarity vector (the first moment vector) is coaxial
with the second moment tensor; thereby the steady state pdf is determined essentially by up to three
scalar order parameters and a rotational group of SO(2) transverse to the imposed field direction.
For nematics with permanent magnetic moments (or dipoles), the steady states are polar and the
polarity vector is parallel to the external field direction when a necessary condition for parameters
is met. When the condition is violated, only stable steady states have their polarity vector parallel
to the external field direction and there are thermodynamically unstable nonparallel states. The
stability of the steady states is inferred from the minimum of the free energy density.
nematic liquid crystal
kinetic theory
polymers
magnetic field
electric field
bifurcation
steady state
phase transition
polarity
stability
nematic liquid crystal
kinetic theory
polymers
magnetic field
electric field
bifurcation
steady state
phase transition
polarity
stability
Type
Article
Description
Communications in Mathematical Sciences, 5(4), 917-950, 2007
Series/Report No
Department
Department of Applied Mathematics
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Steady states and their stability of homogeneous, rigid, extended nematic polymers under imposed magnetic fields (with G. Ji, Q. Wang, P. Zhang and H. Wang), Communications in Mathematical Sciences, 5(4), 917-950, 2007
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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.