Journal article ยท Preprint article
Curvature-induced symmetry breaking in nonlinear Schrodinger 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.
Language: | English |
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Year: | 2000 |
Pages: | R53-6 |
ISSN: | 10953787 , 1063651x , 24700053 and 24700045 |
Types: | Journal article and Preprint article |
DOI: | 10.1103/PhysRevE.62.R53 |
ORCIDs: | Christiansen, Peter Leth |