Extendability of Equilibria of Nematic Polymers
Joint Authors
Source
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2008-11-30
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Wang, Hongyun& Zhou, Hong. 2008. Extendability of Equilibria of Nematic Polymers. Abstract and Applied Analysis،Vol. 2008, no. 2008, pp.1-10.
https://search.emarefa.net/detail/BIM-503645
Modern Language Association (MLA)
Wang, Hongyun& Zhou, Hong. Extendability of Equilibria of Nematic Polymers. Abstract and Applied Analysis No. 2008 (2008), pp.1-10.
https://search.emarefa.net/detail/BIM-503645
American Medical Association (AMA)
Wang, Hongyun& Zhou, Hong. Extendability of Equilibria of Nematic Polymers. Abstract and Applied Analysis. 2008. Vol. 2008, no. 2008, pp.1-10.
https://search.emarefa.net/detail/BIM-503645
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-503645