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Influence of two-dimensional discrete breathers on the macroscopic properties of fcc metals

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  • O. V. Bachurina

    (Ufa State Petroleum Technological University)

  • A. A. Kudreyko

    (Ufa University of Science and Technology
    Bashkir State Medical University)

  • D. V. Bachurin

    (Russian Academy of Sciences)

Abstract

Delocalized nonlinear vibrational modes (DNVMs) in crystals are precise solutions to the equations governing atomic motion that are determined solely by the symmetry of the lattice. This study investigates the influence of two-dimensional discrete breathers (DBs) excited using four one-component DNVMs on the macroscopic properties of three-dimensional fcc single crystals of Al, Cu, and Ni. All results were obtained using molecular dynamics simulations. Key findings include the observation that the lifetime of two-dimensional DBs is significantly influenced by both the symmetry of the DNVM and the initial oscillation amplitude. The two-dimensional DBs exhibit hard-type nonlinearity, characterized by an increase in oscillation frequency with increasing initial amplitude. The excitation of the DBs leads to a reduction in the crystal's heat capacity, which becomes more pronounced with increasing amplitude. The presence of two-dimensional DBs induces thermal expansion within the crystal, suggesting an impact on the mechanical properties of the material. This research provides new insights into the role of DBs, in influencing the macroscopic properties of fcc metals. Graphical abstract

Suggested Citation

  • O. V. Bachurina & A. A. Kudreyko & D. V. Bachurin, 2025. "Influence of two-dimensional discrete breathers on the macroscopic properties of fcc metals," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 98(2), pages 1-10, February.
    • Handle: RePEc:spr:eurphb:v:98:y:2025:i:2:d:10.1140_epjb_s10051-025-00875-9
    DOI: 10.1140/epjb/s10051-025-00875-9
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    References listed on IDEAS

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    1. Dina U. Abdullina & Maria N. Semenova & Aleksander S. Semenov & Elena A. Korznikova & Sergey V. Dmitriev, 2019. "Stability of delocalized nonlinear vibrational modes in graphene lattice," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 92(11), pages 1-5, November.
    2. 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.
    3. 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).
    4. 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.
    5. 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.
    6. Elena A. Korznikova & Alina Y. Morkina & Mohit Singh & Anton M. Krivtsov & Vitaly A. Kuzkin & Vakhid A. Gani & Yuri V. Bebikhov & Sergey V. Dmitriev, 2020. "Effect of discrete breathers on macroscopic properties of the Fermi-Pasta-Ulam chain," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 93(7), pages 1-9, July.
    7. 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.
    8. 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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