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Effect of discrete breathers on macroscopic properties of the Fermi-Pasta-Ulam chain

Author

Listed:
  • Elena A. Korznikova

    (Institute of Molecule and Crystal Physics, Ufa Federal Research Centre of the Russian Academy of Sciences
    Ufa State Aviation Technical University)

  • Alina Y. Morkina

    (Ufa State Aviation Technical University)

  • Mohit Singh

    (Indian Institute of Technology Kharagpur)

  • Anton M. Krivtsov

    (Peter the Great Saint Petersburg Polytechnical University
    Institute for Problems in Mechanical Engineering RAS)

  • Vitaly A. Kuzkin

    (Peter the Great Saint Petersburg Polytechnical University
    Institute for Problems in Mechanical Engineering RAS)

  • Vakhid A. Gani

    (National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)
    Institute for Theoretical and Experimental Physics of National Research Centre “Kurchatov Institute”)

  • Yuri V. Bebikhov

    (North-Eastern Federal University, Polytechnic Institute (branch) in Mirny)

  • Sergey V. Dmitriev

    (Institute of Molecule and Crystal Physics, Ufa Federal Research Centre of the Russian Academy of Sciences
    Institute of Mathematics with Computing Centre, UFRC, Russian Academy of Sciences)

Abstract

The effect of discrete breathers (DBs) on macroscopic properties of the Fermi-Pasta-Ulam chain with symmetric and asymmetric potentials is investigated. The total to kinetic energy ratio (related to specific heat), stress (related to thermal expansion), and Young’s modulus are monitored during the development of modulational instability of the zone boundary mode. The instability results in the formation of chaotic DBs followed by the transition to thermal equilibrium when DBs disappear due to energy radiation in the form of small-amplitude phonons. It is found that DBs reduce the specific heat for all the considered chain parameters. They increase the thermal expansion when the potential is asymmetric and, as expected, thermal expansion is not observed in the case of symmetric potential. The Young’s modulus in the presence of DBs is smaller than in thermal equilibrium for the symmetric potential and for the potential with a small asymmetry, but it is larger than in thermal equilibrium for the potential with greater asymmetry. Our results can be useful for setting experiments on the identification of DBs in crystals by measuring their macroscopic properties. Graphical abstract

Suggested Citation

  • 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.
    • Handle: RePEc:spr:eurphb:v:93:y:2020:i:7:d:10.1140_epjb_e2020-10173-7
    DOI: 10.1140/epjb/e2020-10173-7
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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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    Keywords

    Solid State and Materials;

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