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Curvature-induced symmetry breaking in nonlinear Schrödinger models

Yu. B. Gaididei, S. F. Mingaleev, and P. L. Christiansen
Phys. Rev. E 62, R53(R) – Published 1 July 2000
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Abstract

We consider a curved chain of nonlinear oscillators and show that the interplay of curvature and nonlinearity leads to a symmetry breaking when an asymmetric stationary state becomes energetically more favorable than a symmetric stationary state. We show that the energy of localized states decreases with increasing curvature, i.e., bending is a trap for nonlinear excitations. A violation of the Vakhitov-Kolokolov stability criterion is found in the case where the instability is due to the softening of the Peierls internal mode.

  • Received 25 February 2000

DOI:https://doi.org/10.1103/PhysRevE.62.R53

©2000 American Physical Society

Authors & Affiliations

Yu. B. Gaididei and S. F. Mingaleev

  • Bogolyubov Institute for Theoretical Physics, 03143 Kiev, Ukraine

P. L. Christiansen

  • Department of Mathematical Modelling, The Technical University of Denmark, DK-2800 Lyngby, Denmark

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Vol. 62, Iss. 1 — July 2000

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