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Solitons in Polymer Systems

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Synergetics of Molecular Systems

Part of the book series: Springer Series in Synergetics ((SSSYN))

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Abstract

This chapter will focus on the numerical investigation of nonlinear dynamics of localized excitations (acoustic and topological solitons and breathers) in polymer macromolecules. The characteristics of supersonic acoustic solitons in polymer macromolecules will be studied, using the examples of an isolated zigzag macromolecule of polyethylene (PE), a spiral macromolecule of polytetrafluoroethylene (PTFE), and a single-well carbon nanotube. Topological soliton dynamics will be analysed using the crystalline PE and PTFE models. We will discuss the role of topological solitons in the premelting mechanisms of crystals and their structural transitions. Nonlinear localized vibrations, or breathers, will be considered in the case of a trans zigzag PE molecule. The quasi-one-dimensional structure of isolated macromolecules, polymer crystals of PE and PTFE, and a single-well carbon nanotube will be shown to lead to the existence of all the basic types of localized nonlinear excitations (acoustic and topological solitons and breathers). The properties of such excitations will be shown to depend significantly on the structure of the polymer macromolecule.

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Authors and Affiliations

  1. Department of Cybernetics, Moscow State Technical University of Radioengineering, Electronics and Automation, Moscow, Russia

    Lev N. Lupichev & Vasiliy N. Kadantsev

  2. Department of Polymer and Composite materials, Semenov Institute of Chemical Physics, RAS, Moscow, Russia

    Alexander V. Savin

Authors
  1. Lev N. Lupichev
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  2. Alexander V. Savin
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  3. Vasiliy N. Kadantsev
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Lupichev, L.N., Savin, A.V., Kadantsev, V.N. (2015). Solitons in Polymer Systems. In: Synergetics of Molecular Systems. Springer Series in Synergetics. Springer, Cham. https://doi.org/10.1007/978-3-319-08195-3_6

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