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Atomistic study of two-dimensional discrete breathers in hcp titanium

Author

Listed:
  • O. V. Bachurina

    (Ufa State Petroleum Technological University)

  • R. T. Murzaev

    (Russian Academy of Sciences)

  • A. A. Kudreyko

    (Bashkir State Medical University)

  • S. V. Dmitriev

    (Ufa State Petroleum Technological University
    Ufa Federal Research Center of the Russian Academy of Sciences)

  • D. V. Bachurin

    (Karlsruhe Institute of Technology
    Ufa State Aviation Technical University)

Abstract

A general approach is applied to study a new type of intrinsic spatially localized vibrational modes in a defect free nonlinear crystal lattice, i.e., discrete breathers (DBs). For that, dynamics of eight delocalized nonlinear vibrational modes (DNVMs) of two-dimensional triangular lattice is investigated in three-dimensional single crystal of hcp Ti. Molecular dynamics simulations are performed using two interatomic potentials (Ti_EAM and Ti_MEAM). The eight DNVMs modeled with Ti_EAM potential are found to be unstable and dissipate their vibrational energy very rapidly. The usage of Ti_MEAM interatomic potential allows to excite stable two-dimensional (planar) DBs. These localized vibrational modes can be called DBs, since the frequency of atomic oscillations is above the upper edge of the phonon spectrum of Ti, and the atomic oscillations are localized in one spatial direction and delocalized in the other two directions. The lifetimes of the two-dimensional DBs are in the range of 5–14 ps, while the maximal lifetime of DBs excited on the basis of DNVM 7 is circa 28 ps. These DBs can accumulate vibrational energy, which is in the range of 0.1–0.5 eV per atom. The stable two-dimensional DBs are characterized by a hard type of nonlinearity. A comparison with analogous two-dimensional DBs in fcc metals are undertaken. The obtained results make a significant contribution to the study of DBs in metals and will be important for understanding the influence of intrinsic localized vibrational modes on the physical properties of materials. Graphical abstract

Suggested Citation

  • O. V. Bachurina & R. T. Murzaev & A. A. Kudreyko & S. V. Dmitriev & D. V. Bachurin, 2022. "Atomistic study of two-dimensional discrete breathers in hcp titanium," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 95(7), pages 1-10, July.
    • Handle: RePEc:spr:eurphb:v:95:y:2022:i:7:d:10.1140_epjb_s10051-022-00367-0
    DOI: 10.1140/epjb/s10051-022-00367-0
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    References listed on IDEAS

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    1. O. V. Bachurina & A. A. Kudreyko, 2021. "Two-component localized vibrational modes in fcc metals," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 94(11), pages 1-9, November.
    2. Elena A. Korznikova & Dmitry V. Bachurin & Sergey Yu. Fomin & Alexander P. Chetverikov & Sergey V. Dmitriev, 2017. "Instability of vibrational modes in hexagonal lattice," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 90(2), pages 1-8, February.
    3. Fraile, Alberto & Koukaras, Emmanuel N. & Papagelis, Konstantinos & Lazarides, Nikos & Tsironis, G.P., 2016. "Long-lived discrete breathers in free-standing graphene," Chaos, Solitons & Fractals, Elsevier, vol. 87(C), pages 262-267.
    4. Ramil T. Murzaev & Rita I. Babicheva & Kun Zhou & Elena A. Korznikova & Sergey Yu. Fomin & Vladimir I. Dubinko & Sergey V. Dmitriev, 2016. "Discrete breathers in alpha-uranium," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 89(7), pages 1-6, July.
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    Cited by:

    1. Kolesnikov, I.D. & Shcherbinin, S.A. & Bebikhov, Yu.V. & Korznikova, E.A. & Shepelev, I.A. & Kudreyko, A.A. & Dmitriev, S.V., 2024. "Chaotic discrete breathers in bcc lattice," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    2. Shepelev, Igor A. & Soboleva, Elvira G. & Kudreyko, Aleksey A. & Dmitriev, Sergey V., 2024. "Influence of the relative stiffness of second-neighbor interactions on chaotic discrete breathers in a square lattice," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).

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