Abstract
For the free propagation of kinks (antikinks) in the standard Frenkel-Kontorova (FK) model it is necessary that the height of the barrier connecting two adjacent minima of the on-site potentials is sufficiently small as compared with interactions between nearest-neighbor atoms of molecules. Freely propagating kinks are sufficiently extended objects, and their Peierls-Nabarro (PN) relief is neglegible. On the other hand, although the dynamics of chain particles is still collective, narrow kinks are strongly pinned and their transport along the chain can be achieved only by means of some external (regular and/or stochastic) forces.
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Zolotaryuk, A.V., Spatschek, K.H., Kluth, O. (1994). Narrow Kinks in Nonlinear Lattices: Application to the Proton Transport in Hydrogen-Bonded Systems. In: Spatschek, K.H., Mertens, F.G. (eds) Nonlinear Coherent Structures in Physics and Biology. NATO ASI Series, vol 329. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1343-2_15
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