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Diffusion relaxation of solitons in finite Frenkel–Kontorova systems

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Abstract

The notion of a soliton as a quasiparticle in the Frenkel–Kontorova system is substantiated. This allows the use of the diffusive model for the description of the processes of soliton creation and disappearance at the chain ends. The Frenkel–Kontorova model is modified through the addition of barriers with certain height and concentration to the pinning profile of the potential energy surface for the soliton motion along the chain. The ratio of the relaxation times in ideal and defective systems is estimated, and it is shown that the relaxation rate can be reduced by ten and higher orders of magnitude under quite reasonable assumptions.

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Acknowledgement

This work was supported by the Russian Foundation for Basic Research, project nos. 05-03-32322 and 05-03-32434.

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Authors and Affiliations

  1. Moscow State University of Environmental Engineering, ul. Staraya Basmannaya 21/4, Moscow, 105066, Russia

    I. D. Mikheikin, M. Yu. Kuznetsov & V. S. Pervov

  2. Semenov Institute of Chemical Physics, Russian Academy of Sciences, ul. Kosygina 4, Moscow, 117977, Russia

    V. P. Sakun

  3. Kurnakov Institute of General and Inorganic Chemistry, Russian Academy of Sciences, Leninskii pr. 31, Moscow, 119991, Russia

    E. V. Makhonina

Authors
  1. I. D. Mikheikin
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  2. V. P. Sakun
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  3. M. Yu. Kuznetsov
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  4. E. V. Makhonina
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  5. V. S. Pervov
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Corresponding author

Correspondence to E. V. Makhonina.

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Mikheikin, I.D., Sakun, V.P., Kuznetsov, M.Y. et al. Diffusion relaxation of solitons in finite Frenkel–Kontorova systems. J Mater Sci 42, 1122–1126 (2007). https://doi.org/10.1007/s10853-006-1455-z

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  • DOI: https://doi.org/10.1007/s10853-006-1455-z

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