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JOURNALS // Fizika Tverdogo Tela // Archive

Fizika Tverdogo Tela, 2019 Volume 61, Issue 11, Pages 2183–2189 (Mi ftt8634)

This article is cited 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

DOI: 10.21883/FTT.2019.11.48426.507


 English version:
Physics of the Solid State, 2019, 61:11, 2160–2166

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© Steklov Math. Inst. of RAS, 2024