Extendability of equilibria of nematic polymers
Abstract
The purpose of this paper is to study the extendability of equilibrium states of rodlike nematic
polymers with the Maier-Saupe intermolecular potential. We formulate equilibrium states as
solutions of a nonlinear system and calculate the determinant of the Jacobian matrix of the
nonlinear system. It is found that the Jacobian matrix is nonsingular everywhere except at two
equilibrium states. These two special equilibrium states correspond to two points in the phase
diagram. One point is the folding point where the stable prolate branch folds into the unstable
prolate branch; the other point is the intersection point of the nematic branch and the isotropic
branch where the unstable prolate state becomes the unstable oblate state. Our result establishes
the existence and uniqueness of equilibrium states in the presence of small perturbations away
from these two special equilibrium states.
Description
Abstract and Applied Analysis ,Vol. 2008, Article ID 854725, 2008
The article of record as published may be found at http://dx.doi.org/10.1155/2008/854725
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.Collections
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