Discrete kink dynamics in hydrogen-bonded chains: The two-component model

V.M. Karpan, Yaroslav Zolotaryuk, Peter Leth Christiansen, Alexander Zolotaryuk

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    Abstract

    We study discrete topological solitary waves (kinks and antikinks) in two nonlinear diatomic chain models that describe the collective dynamics of proton transfers in one-dimensional hydrogen-bonded networks. The essential ingredients of the models are (i) a realistic (anharmonic) ion-proton interaction in the hydrogen bond. (ii) a harmonic coupling between the protons in adjacent hydrogen bonds, and (iii) a harmonic coupling between the nearest-neighbor heavy ions (an isolated diatomic chain with the lowest acoustic band) or instead a harmonic on-site potential for the heavy ions (a diatomic chain subject to a substrate with two optical bands), both providing a bistability of the hydrogen-bonded proton. Exact two-component (kink and antikink) discrete solutions for these models are found numerically. We compare the soliton solutions and their properties in both the one- (when the heavy ions are fixed) and two-component models. The effect of stability switchings, discovered previously for a class of one-component kink-bearing models, is shown to exist in these two-component models as well. However, the presence of the second component, i.e., the softness of the heavy-ion sublattice, brings principal differences, like a significant difference in the stability switchings behavior for the kinks and the antikinks. Water-filled carbon nanotubes are briefly discussed as possible realistic systems, where topological discrete (anti)kink states might exist.
    Original languageEnglish
    JournalPhysical Review E
    Volume70
    Issue number5
    Pages (from-to)056602
    ISSN2470-0045
    DOIs
    Publication statusPublished - 2004

    Bibliographical note

    Copyright (2004) American Physical Society.

    Keywords

    • SYSTEMS
    • CARBON NANOTUBES
    • DOUBLE-WELL POTENTIALS
    • MECHANISM
    • PROTON TRANSPORT
    • SOLITONS
    • IONIC DEFECTS
    • H+ CONDUCTION
    • WATER-MOLECULES
    • SOLITARY WAVES

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