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Extreme values of elastic strain and energy in sine-Gordon multi-kink collisions

Author

Listed:
  • Aliakbar Moradi Marjaneh

    (Quchan Branch, Islamic Azad University)

  • Alidad Askari

    (Ferdowsi University of Mashhad)

  • Danial Saadatmand

    (University of Sistan and Baluchestan)

  • Sergey V. Dmitriev

    (Institute for Metals Superplasticity Problems RAS
    National Research Tomsk State University)

Abstract

In our recent study the maximal values of kinetic and potential energy densities that can be achieved in the collisions of N slow kinks in the sine-Gordon model were calculated analytically (for N = 1, 2, and 3) and numerically (for 4 ≤ N ≤ 7). However, for many physical applications it is important to know not only the total potential energy density but also its two components (the on-site potential energy density and the elastic strain energy density) as well as the extreme values of the elastic strain, tensile (positive) and compressive (negative). In the present study we give (i) the two components of the potential energy density and (ii) the extreme values of elastic strain. Our results suggest that in multi-soliton collisions the main contribution to the potential energy density comes from the elastic strain, but not from the on-site potential. It is also found that tensile strain is usually larger than compressive strain in the core of multi-soliton collision.

Suggested Citation

  • Aliakbar Moradi Marjaneh & Alidad Askari & Danial Saadatmand & Sergey V. Dmitriev, 2018. "Extreme values of elastic strain and energy in sine-Gordon multi-kink collisions," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 91(1), pages 1-8, January.
    • Handle: RePEc:spr:eurphb:v:91:y:2018:i:1:d:10.1140_epjb_e2017-80406-y
    DOI: 10.1140/epjb/e2017-80406-y
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    Cited by:

    1. Askari, Alidad & Moradi Marjaneh, Aliakbar & Rakhmatullina, Zhanna G. & Ebrahimi-Loushab, Mahdy & Saadatmand, Danial & Gani, Vakhid A. & Kevrekidis, Panayotis G. & Dmitriev, Sergey V., 2020. "Collision of ϕ4 kinks free of the Peierls–Nabarro barrier in the regime of strong discreteness," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).
    2. Mohammadi, M. & Momeni, E., 2022. "Scattering of kinks in the Bφ4 model," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).
    3. Moradi Marjaneh, Aliakbar & Simas, Fabiano C. & Bazeia, D., 2022. "Collisions of kinks in deformed φ4 and φ6 models," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).

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    Keywords

    Solid State and Materials;

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