Phys. Rev. E 62, R53–R56 (2000)Curvature-induced symmetry breaking in nonlinear Schrödinger models
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. © 2000 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.62.R53
DOI:
10.1103/PhysRevE.62.R53
PACS:
05.45.Yv, 33.15.Bh, 42.65.Tg, 63.20.Pw
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