Abstract
The longitudinal and transverse collective dynamics of hydrogen-bonded protons is studied on the basis of a zig-zag model in which the heavy negative ions of the background sublattice are considered to be frozen. The on-site potential for each proton is constructed as an appropriate sum of the Morse potentials. The nearest-neighbor protons are assumed to interact harmonically with each other. Ionic and orientational defect solutions of soliton type have been obtained numerically by using the steepest descent minimization scheme. On the basis of the zig-zag modelling a simple one-dimensional model which belongs to the nonlinear Klein-Gordon family has been used for the studies of the longitudinal proton transfer under external electric fields and damping.
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St. Pnevmatikos, Savin, A.V., Zolotaryuk, A.V. (1992). Soliton Modelling for the Proton Transfer in Hydrogen-Bonded Systems. In: Bountis, T. (eds) Proton Transfer in Hydrogen-Bonded Systems. NATO ASI Series, vol 291. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3444-0_6
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DOI: https://doi.org/10.1007/978-1-4615-3444-0_6
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