Abstract:
The effect of the nonlinear supratransmission in crystal of A3B stoichiometry is studied by molecular dynamics on the example of Pt3Al alloy. This effect is the transfer of energy at frequencies outside the phonon spectrum of the crystal. Research of the mechanisms of energy transport from the material surface to the interior is the important task, both from the theoretical point of view and from the prospects for practical application in the modification of near-surface layers by treatment with intense external influence of various types. The model was a three-dimensional face-centered cubic crystal whose atoms interact by means of the multiparticle potential obtained by the embedded atom method, which provides greater realism of the model in comparison with the use of pair potentials. Various forms of oscillation of the external influence region are considered. The possibility of energy transport from the crystal surface to the interior is shown by excitation of quasi-breathers near the region of influence and their subsequent destruction in the crystal and scattering of the energy stored on them. The quasi-breathers are high-amplitude nonlinear atoms' oscillations of the alloy lightweight component at frequencies outside the phonon spectrum of the crystal. This effect was observed not with every oscillation's form of the region of influence. Quasi-breathers appeared most intensely near the region of influence with sinusoidal form oscillations. The results obtained indicate that the contribution of quasi-breathers to the energy transfer through the crystal increases with increasing amplitude of the influence. The range of amplitudes from 0.05 to 0.5 Å is considered. The frequency of the influence varied from 0.2 to 15 THz, which ensured the coverage of the entire spectrum of low-amplitude oscillations for this crystal's model. The minimum magnitude of the external effect amplitude at which this effect was observed was found to be 0.15 Å. At amplitudes greater than 0.5 Å, the cell rapidly decays for frequencies close to the optical branch of the phonon spectrum. The results of the study can be useful for laser processing of materials, surface treatment by low-energy plasma, and also in radiation materials science.
Citation:
A. I. Cherednichenko, P. V. Zakharov, M. D. Starostenkov, M. O. Sysoeva, A. M. Eremin, “Nonlinear supratransmission in a Pt3Al crystal at intense external influence”, Computer Research and Modeling, 11:1 (2019), 109–117
\Bibitem{CheZakSta19}
\by A.~I.~Cherednichenko, P.~V.~Zakharov, M.~D.~Starostenkov, M.~O.~Sysoeva, A.~M.~Eremin
\paper Nonlinear supratransmission in a Pt$_3$Al crystal at intense external influence
\jour Computer Research and Modeling
\yr 2019
\vol 11
\issue 1
\pages 109--117
\mathnet{http://mi.mathnet.ru/crm700}
\crossref{https://doi.org/10.20537/2076-7633-2019-11-1-109-117}
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https://www.mathnet.ru/eng/crm700
https://www.mathnet.ru/eng/crm/v11/i1/p109
This publication is cited in the following 12 articles:
A I Cherednichenko, Y V Bebikhov, A S Semenov, M D Starostenkov, E A Korznikova, Z G Rakhmatullina, P V Zakharov, “Localized modes in platinum aluminides”, J. Phys.: Conf. Ser., 2697:1 (2024), 012050
Sergei D. Liazhkov, “Energy supply into a semi-infinite β-Fermi–Pasta–Ulam–Tsingou chain by periodic force loading”, Acta Mech, 2024
Yu. V. Bebikhov, E.K. Naumov, M.N. Semenova, S.V. Dmitriev, “Discrete breathers in a β-FPUT square lattice from in-band external driving”, Communications in Nonlinear Science and Numerical Simulation, 132 (2024), 107897
P. V. Zakharov, “The effect of nonlinear supratransmission in discrete
structures: a review”, Computer Research and Modeling, 15:3 (2023), e599–e617
Pavel V. Zakharov, Mikhail D. Starostenkov, Alexander M. Eremin, Sergey V. Dmitriev, Yuliya V. Sharapova, Elena A. Korznikova, MATHEMATICS EDUCATION AND LEARNING, 2633, MATHEMATICS EDUCATION AND LEARNING, 2022, 020033
I S Lutsenko, P V Zakharov, M D Starostenkov, S V Dmitriev, E A Korznikova, “Stability of supratransmission waves in a crystal of A3B stoichiometry upon interaction with single dislocations”, J. Phys.: Conf. Ser., 2103:1 (2021), 012079
Pavel Zakharov, Sergey Dmitriev, Elena Korznikova, “Molecular dynamic analysis of energy transport in a Pt3Al crystal under the impact in the spectrum gap frequency”, Lett. Mater., 11:3 (2021), 338
Jorge E. Macías-Díaz, Anastasios Bountis, “Nonlinear Supratransmission in Quartic Hamiltonian Lattices With Globally Interacting Particles and On-Site Potentials”, Journal of Computational and Nonlinear Dynamics, 16:2 (2021)
J.E. Macías-Díaz, “Modified Hamiltonian Fermi–Pasta–Ulam–Tsingou arrays which exhibit nonlinear supratransmission”, Results in Physics, 18 (2020), 103237
P V Zakharov, A M Eremin, S A Safronova, A V Markidonov, M D Starostenkov, “Dislocation structure of dicotyledonous bimetals under external harmonic influence: molecular dynamics modeling”, IOP Conf. Ser.: Mater. Sci. Eng., 862:2 (2020), 022010
P V Zakharov, A I Cherednichenko, M D Starostenkov, A M Eremin, A V Markidonov, “Nonlinear high-amplitude excitations of the CuPt7 crystal lattice: a molecular dynamics study”, J. Phys.: Conf. Ser., 1399:2 (2019), 022002
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