Curvature-induced symmetry breaking in nonlinear Schrodinger models
Y. B. Gaididei, S. F. Mingaleev, and P. L. Christiansen,
Phys. Rev. E 62, R53-R56 (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.
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