Dynamics of disclinations in liquid crystals
Authors:
L. M. Pismen and J. Rubinstein
Journal:
Quart. Appl. Math. 50 (1992), 535-545
MSC:
Primary 73B99; Secondary 58E50, 73S10, 76A15, 82D30
DOI:
https://doi.org/10.1090/qam/1178433
MathSciNet review:
MR1178433
Full-text PDF Free Access
References |
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Additional Information
E. Bodenschatz, W. Pesch, and L. Kramer, Structure and dynamics of dislocations in anisotropic pattern-forming systems, Physica D 32, 135–145 (1988)
- Haïm Brezis, Jean-Michel Coron, and Elliott H. Lieb, Harmonic maps with defects, Comm. Math. Phys. 107 (1986), no. 4, 649–705. MR 868739
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P. G. de Gennes, The Physics of Liquid Crystals, Clarendon Press, Oxford, 1974
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L. Pismen and J. D. Rodriguez, Mobility of singularities in the dissipative Ginzburg-Landau equation, Phys. Rev. A 42, 2471–2474 (1990)
- L. M. Pismen and J. Rubinstein, Motion of vortex lines in the Ginzburg-Landau model, Phys. D 47 (1991), no. 3, 353–360. MR 1098255, DOI https://doi.org/10.1016/0167-2789%2891%2990035-8
- L. M. Pismen and J. Rubinstein, Dynamics of defects, Nematics (Orsay, 1990) NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., vol. 332, Kluwer Acad. Publ., Dordrecht, 1991, pp. 303–326. MR 1178103
H. Pleiner, Dynamics of a disclination point in Smectic- C liquid crystals, Phys. Rev. A 37, 3986–3992 (1988)
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- Jacob Rubinstein, Self-induced motion of line defects, Quart. Appl. Math. 49 (1991), no. 1, 1–9. MR 1096227, DOI https://doi.org/10.1090/qam/1096227
E. Bodenschatz, W. Pesch, and L. Kramer, Structure and dynamics of dislocations in anisotropic pattern-forming systems, Physica D 32, 135–145 (1988)
H. Brezis, J-M. Coron, and E. Lieb, Harmonic maps with defects, Comm. Math. Phys. 107, 649–705 (1986)
E. Dubois-Violette, E. Guazelli, and J. Prost, Dislocation motion in layered structures, Phil. Mag. A48, 727–747 (1983)
J. Ericksen, Liquid crystals with variable degree of orientiation, IMA Preprint No. 559 (1989)
P. G. de Gennes, The Physics of Liquid Crystals, Clarendon Press, Oxford, 1974
R. Hardt, D. Kinderlehrer, and M. Luskin, Remarks about the mathematical theory of liquid crystals, Lecture Notes in Math., vol. 1340, Springer-Verlag, Berlin and New York, 1988, pp. 123–138
M. Kleman, Points, lines and walls, John Wiley, New York, 1983
---, Defects in liquid crystals, Rep. Progr. Phys. 52, 555–564 (1989)
N. D. Mermin, The topological theory of defects in ordered media, Rev. Modern Phys. 51, 591–648 (1979)
J. Neu, Vortices in complex scalar fields, Physica D 43, 385–406 (1990)
L. Pismen and J. D. Rodriguez, Mobility of singularities in the dissipative Ginzburg-Landau equation, Phys. Rev. A 42, 2471–2474 (1990)
L. Pismen and J. Rubinstein, Motion of vortex lines in the Ginzburg-Landau model, Physica D 47, 353–360 (1991)
---, Dynamics of defects, preprint in Nematics: Mathematical and Physical Aspects, J. M. Coron et al. (eds.), Kluwer, 1991
H. Pleiner, Dynamics of a disclination point in Smectic- C liquid crystals, Phys. Rev. A 37, 3986–3992 (1988)
Y. Pomeau, S. Zaleski, and P. Manneville, Disclination motion in cellular structures, Phys. Rev. A 27, 2710–2726 (1983)
J. Rubinstein, Self-induced motion of line defects, Quart. Appl. Math. 49, 1–9 (1991)
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Article copyright:
© Copyright 1992
American Mathematical Society