Hostname: page-component-77c89778f8-vsgnj Total loading time: 0 Render date: 2024-07-22T12:29:35.759Z Has data issue: false hasContentIssue false
  • English
  • Français

Defect Dynamics of a Nematic Polymer in a Magnetic Field

Published online by Cambridge University Press:  26 February 2011

Alejandro D. Rey
Alejandro D. Rey*
Affiliation:
McGill University, Department of Chemical Engineering, Montreal, Quebec, Canada H3A2A7
Get access

Abstract

Analysis of the nonlinear dynamical response of a rod-like nematic liquid crystalline polymer, between parallel untreate plates, in a magnetic field is presented. Numerical solutions to the torque balance equations showthat when a uniformly aligned polymer is acted by a magnetic field normal to the initial polymer orientation an array of inversion walls develops. Stability analysis shows that the inversion walls are unstable to localized perturbations. The nonlinear resolution ofthe instability leads to the nucleation of an array of disclination line pairs of strength ±1/2. A perturbation analysis is used to obtain the evolution of the polymer structure towards equilibrium

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 209: Symposium K – Defects in Materials , 1990 , 299
Copyright
Copyright © Materials Research Society 1991

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1. Srajer, G., Fraden, S., and Meyer, R.B., Phys. Rev. A, 39, 4828 (1989).Google Scholar
2. Fincher, C. R., Macromolecules, 19, 2431 (1986).Google Scholar
3. deGennes, P.G., The Physics of Liquid Crystals, (Clarendon Press, Oxford, 1974).Google Scholar
4. Rey, A.D. and Denn, M.M., Liquid Crystals, 4, 253 (1989).Google Scholar
5. Longberg, F. and Meyer, R.B., Phys. Rev. Lett., 57, 349 (1985).Google Scholar
6. Eshelby, J.D., Phil. Mag. A, 42, 43 (1980).Google Scholar
7. Rey, A.D., Liquid Crystals, 7, 315 (1990).Google Scholar