Discrete kink dynamics in hydrogen-bonded chains: The two-component model
| Autor: | V M, Karpan, Y, Zolotaryuk, P L, Christiansen, A V, Zolotaryuk |
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| Rok vydání: | 2004 |
| Předmět: | |
| Zdroj: | Karpan, V M, Zolotaryuk, Y, Christiansen, P L & Zolotaryuk, A 2004, ' Discrete kink dynamics in hydrogen-bonded chains: The two-component model ', Physical Review E, vol. 70, no. 5, pp. 056602 . https://doi.org/10.1103/PhysRevE.70.056602 |
| ISSN: | 1550-2376 1539-3755 |
| DOI: | 10.1103/physreve.70.056602 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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