Curvature-induced symmetry breaking in nonlinear Schrodinger models

Yuri Borisovich Gaididei, S. F. Mingaleev, Peter Leth Christiansen

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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.
    Original languageEnglish
    JournalPhysical Review E. Statistical, Nonlinear, and Soft Matter Physics
    Volume62
    Issue number1
    Pages (from-to)R53-R56
    ISSN1063-651X
    DOIs
    Publication statusPublished - 2000

    Bibliographical note

    Copyright (2000) American Physical Society

    Keywords

    • STATES
    • CARBON
    • MICROTUBULES
    • LONG-RANGE
    • INSTABILITY
    • POLYMERS
    • DISCRETE
    • ENERGY
    • DNA
    • SOLITON

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