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Physics of the Solid State

, Volume 61, Issue 11, pp 2160–2166 | Cite as

Excitation of Soliton-Type Waves in Crystals of the A3B Stoichiometry

  • P. V. ZakharovEmail author
  • M. D. Starostenkov
  • E. A. Korznikova
  • A. M. Eremin
  • I. S. Lutsenko
  • S. V. Dmitriev
LATTICE DYNAMICS
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Abstract

Using the method of molecular dynamics and taking Ni3Al and Pt3Al as examples, crystals of the A3B composition are considered for the possibility of excitation of soliton-type waves in them. The potentials obtained by the embedded-atom method were used to describe interatomic interactions. It is shown that the harmonic external stimulus can excite waves of the soliton type in a Pt3Al crystal, but not in Ni3Al. Such compression–expansion waves are generated because of excitation of discrete breathers with soft nonlinearity that cannot exist in a Ni3Al crystal near the affected region. The detected waves are capable of propagating to thousands of nanometers along the Pt3Al crystal without losses of integrity and speed. The shape of the obtained wave corresponds to the kink solution of the sine-Gordon equation. The aggregate amount of energy transferred by a wave is determined by the number of rows of atoms involved in fluctuations; this may involve dozens and hundreds of electron volts.

Keywords:

discrete breather soliton solitary wave method of molecular dynamics nonlinearity lattice vibrations 

Notes

FUNDING

P.V.Z., M.D.S., A.M.E., and I.S.L. are grateful to Russian Foundation for Basic Research and Altai Krai Government for the financial support within the research project no. 18-42-220002 r_a (acquiring baseline data, article writing, and preparation of illustration materials). E.A.K. acknowledges the financial support from Grant of President of Russian Federation for State Support of Young Russian Scientists no. MD-3639.2019.2 (discussion of the results and drawing the conclusions).

CONFLICT OF INTEREST

The authors declare that they have no conflicts of interest.

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Copyright information

© Pleiades Publishing, Ltd. 2019

Authors and Affiliations

  • P. V. Zakharov
    • 1
    Email author
  • M. D. Starostenkov
    • 2
  • E. A. Korznikova
    • 3
  • A. M. Eremin
    • 1
  • I. S. Lutsenko
    • 2
  • S. V. Dmitriev
    • 3
    • 4
  1. 1.Shukshin Altai State Humanitarian and Pedagogical UniversityBiyskRussia
  2. 2.Polzunov Altai State Technical UniversityBarnaulRussia
  3. 3.Institute for Problems of Superplasticity of Metals, Russian Academy of SciencesUfaRussia
  4. 4.National Research Tomsk State UniversityTomskRussia

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