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This article is cited in 10 scientific papers (total in 10 papers)
Lattice dynamics
Excitation of soliton-type waves in crystals of the A$_{3}$B stoichiometry
P. V. Zakharova, M. D. Starostenkovb, E. A. Korznikovac, A. M. Eremina, I. S. Lutsenkob, S. V. Dmitrievcd a Shukshin Altai State Humanitarian and Pedagogical University
b Altai State Technical University
c Institute for Metals Superplasticity Problems of RAS, Ufa
d Tomsk State University
Abstract:
Using the method of molecular dynamics and taking Ni$_{3}$Al and Pt$_{3}$Al as examples, crystals of the A$_{3}$B 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 Pt$_{3}$Al crystal, but not in Ni$_{3}$Al. Such compression–expansion waves are generated because of excitation of discrete breathers with soft nonlinearity that cannot exist in a Ni$_{3}$Al crystal near the affected region. The detected waves are capable of propagating to thousands of nanometers along the Pt$_{3}$Al 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, molecular dynamics method, nonlinearity, lattice vibrations.
Received: 05.06.2019 Revised: 05.06.2019 Accepted: 18.06.2019
Citation:
P. V. Zakharov, M. D. Starostenkov, E. A. Korznikova, A. M. Eremin, I. S. Lutsenko, S. V. Dmitriev, “Excitation of soliton-type waves in crystals of the A$_{3}$B stoichiometry”, Fizika Tverdogo Tela, 61:11 (2019), 2183–2189; Phys. Solid State, 61:11 (2019), 2160–2166
Linking options:
https://www.mathnet.ru/eng/ftt8634 https://www.mathnet.ru/eng/ftt/v61/i11/p2183
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