Discrete kink dynamics in hydrogen-bonded chains I: The one-component model
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 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 travelling-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).
Cite
@article{arxiv.nlin/0208049,
title = {Discrete kink dynamics in hydrogen-bonded chains I: The one-component model},
author = {V. M. Karpan and Y. Zolotaryuk and P. L. Christiansen and A. V. Zolotaryuk},
journal= {arXiv preprint arXiv:nlin/0208049},
year = {2009}
}
Comments
12 pages, 20 figures