IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v646y2024ics0378437124004114.html
   My bibliography  Save this article

Slow energy relaxation in anharmonic chains with and without on-site potentials: Roles of distinct types of discrete breathers

Author

Listed:
  • Xiong, Daxing
  • Dmitriev, Sergey V.

Abstract

Slow energy relaxation has been observed in one-dimensional lattices with and without a nonlinear on-site potential; however, a comprehensive understanding of the detailed relaxation process remains elusive. Here we revisit this issue by introducing damping conditions at the free-end boundary of a thermalized lattice. We reveal that, in the long-cooling-time regime considered, for systems with a nonlinear on-site potential, energy relaxation exhibits a strong temperature-dependent behavior and with the increase of temperature, there is a crossover between decaying and non-decaying behaviors, around a crossover temperature point of Tc≃4.2. This non-decaying behavior at higher temperature is attributed to the presence of standing multi Sievers–Takeno discrete breather (DB) states. Conversely, for systems without on-site potentials, relaxation is nearly independent of temperature but dependent on interparticle potential. Notably, we observe that the cubic anharmonicity can generate moving single Page DB states that contribute to the unusual slow energy relaxation within a specific time regime. Our results provide enhanced insights into the mechanisms governing slow energy relaxation during lattice cooling.

Suggested Citation

  • Xiong, Daxing & Dmitriev, Sergey V., 2024. "Slow energy relaxation in anharmonic chains with and without on-site potentials: Roles of distinct types of discrete breathers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 646(C).
    • Handle: RePEc:eee:phsmap:v:646:y:2024:i:c:s0378437124004114
    DOI: 10.1016/j.physa.2024.129902
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437124004114
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2024.129902?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    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).
    3. 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.
    4. 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.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:646:y:2024:i:c:s0378437124004114. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.