Abstract
The asymptotic forms of strains in a smectic around the linear distributions of multipole force are determined. The law of a decrease in strains is specified by the indices, which are eigenvalues of nonlinear equations describing the angular dependence of the strains.
Similar content being viewed by others
References
E. A. Brener and V. I. Marchenko, Phys. Rev. E. 59, R4752 (1999).
E. A. Brener and V. I. Marchenko, Pis’ma Zh. Eksp. Teor. Fiz. 86(6), 446 (2007) [JETP Lett. 86 (6), 389 (2007)].
E. A. Brener and V. I. Marchenko, Pis’ma Zh. Eksp. Teor. Fiz. 90(2), 153 (2009) [JETP Lett. 90 (2), 143 (2009)].
E. A. Brener, V. I. Marchenko, and D. A. Pilipenko, Pis’ma Zh. Eksp. Teor. Fiz. 90(10), 761 (2009) [JETP Lett. 90 (10), 688 (2009)].
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 7: Theory of Elasticity (Nauka, Moscow, 1987; Butterworth-Heinemann, Oxford, 1995).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © V.I. Marchenko, E.R. Podolyak, 2010, published in Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2010, Vol. 138, No. 6, pp. 1189–1192.
Rights and permissions
About this article
Cite this article
Marchenko, V.I., Podolyak, E.R. Nonlinear eigenvalue problems in smectics. J. Exp. Theor. Phys. 111, 1050–1053 (2010). https://doi.org/10.1134/S1063776110120186
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063776110120186