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

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

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    Abstract

    We study topological solitary waves (kinks and antikinks) in a nonlinear one-dimensional Klein-Gordon chain with the on-site potential of a double-Morse type. This chain is used to describe the collective proton dynamics in quasi-one-dimensional networks of hydrogen bonds, where the on-site potential plays the role of the proton potential in the hydrogen bond. The system supports a rich variety of stationary kink solutions with different symmetry properties. We study the stability and bifurcation structure of all these stationary kink states. An exactly solvable model with a piecewise "parabola-constant" approximation of the double-Morse potential is suggested and studied analytically. The dependence of the Peierls-Nabarro potential on the system parameters is studied. Discrete traveling-wave solutions of a narrow permanent profile are shown to exist, depending on the anharmonicity of the Morse potential and the cooperativity of the hydrogen bond (the coupling constant of the interaction between nearest-neighbor protons).
    Original languageEnglish
    JournalPhysical Review E. Statistical, Nonlinear, and Soft Matter Physics
    Volume66
    Issue number6
    Pages (from-to)066603
    ISSN1063-651X
    DOIs
    Publication statusPublished - 2002

    Bibliographical note

    Copyright (2002) American Physical Society

    Keywords

    • FAMILIES
    • NONLINEAR TRANSPORT
    • FRENKEL-KONTOROVA MODEL
    • LATTICE SOLITONS
    • MECHANISM
    • EXCITATIONS
    • SYSTEM
    • PROTON TRANSPORT
    • STABILITY
    • IONIC DEFECTS

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