S. A. Shcherbinin, M. N. Semenova, A. S. Semenov, E. A. Korznikova, G. M. Chechin, S. V. Dmitriev, “Dynamics of a three-component delocalized nonlinear vibrational mode in graphene”, Fizika Tverdogo Tela, 61:11 (2019), 2163–2168; Phys. Solid State, 61:11 (2019), 2139

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Fizika Tverdogo Tela, 2019, Volume 61, Issue 11, Pages 2163–2168
DOI: https://doi.org/10.21883/FTT.2019.11.48423.444 (Mi ftt8631)

This article is cited in 22 scientific papers (total in 22 papers)

Lattice dynamics

Dynamics of a three-component delocalized nonlinear vibrational mode in graphene

S. A. Shcherbinin^a, M. N. Semenova^b, A. S. Semenov^b, E. A. Korznikova^c, G. M. Chechin^a, S. V. Dmitriev^cd

^a Research Institute of Physics, Southern Federal University, Rostov-on-Don
^b Ammosov North-Eastern Federal University, Mirny, Sakha (Yakutia), Russia
^c Institute for Metals Superplasticity Problems of RAS, Ufa
^d Tomsk State University

Full-text PDF (421 kB) Citations (22)

DOI: https://doi.org/10.21883/FTT.2019.11.48423.444

Abstract: The dynamics of a three-component nonlinear delocalized vibrational mode in graphene is studied with molecular dynamics. This mode, being a superposition of a root and two one-component modes, is an exact and symmetrically determined solution of nonlinear equations of motion of carbon atoms. The dependences of a frequency, energy per atom, and average stresses over a period that appeared in graphene are calculated as a function of amplitude of a root mode. We showed that the vibrations become periodic with certain amplitudes of three component modes, and the vibrations of one-component modes are close to periodic one and have a frequency twice the frequency of a root mode, which is noticeably higher than the upper boundary of a spectrum of low-amplitude vibrations of a graphene lattice. The data obtained expand our understanding of nonlinear vibrations of graphene lattice.

Keywords: nonlinear dynamics, graphene, delocalized oscillations, second harmonic generation.

Funding agency	Grant number
Russian Science Foundation	18-72-00006
Russian Foundation for Basic Research	18-32-20158 мол_а_вед
Ministry of Education and Science of the Russian Federation
A.S. Semenov (calculations together with discussion of results) is grateful to Russian Science Foundation (project no. 18-72-00006). E.A. Korznikova is grateful to Russian Foundation for Basic Research (grant no. 18-32-20158 mol_a_ved) for financial support (discussion of results and writing the article). This work was partially supported by the State Assignment of the Institute for Metals Superplasticity Problems (Russian Academy of Sciences).

Received: 02.04.2019
Revised: 06.06.2019
Accepted: 14.06.2019

English version:
Physics of the Solid State, 2019, Volume 61, Issue 11, Pages 2139–2144
DOI: https://doi.org/10.1134/S1063783419110313

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: S. A. Shcherbinin, M. N. Semenova, A. S. Semenov, E. A. Korznikova, G. M. Chechin, S. V. Dmitriev, “Dynamics of a three-component delocalized nonlinear vibrational mode in graphene”, Fizika Tverdogo Tela, 61:11 (2019), 2163–2168; Phys. Solid State, 61:11 (2019), 2139–2144

Citation in format AMSBIB

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\paper Dynamics of a three-component delocalized nonlinear vibrational mode in graphene

\jour Fizika Tverdogo Tela

\yr 2019

\vol 61

\issue 11

\pages 2163--2168

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\crossref{https://doi.org/10.21883/FTT.2019.11.48423.444}

\elib{https://elibrary.ru/item.asp?id=41300788}

\transl

\jour Phys. Solid State

\yr 2019

\vol 61

\issue 11

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\crossref{https://doi.org/10.1134/S1063783419110313}

Linking options:

https://www.mathnet.ru/eng/ftt8631

https://www.mathnet.ru/eng/ftt/v61/i11/p2163

This publication is cited in the following 22 articles:

O. V. Bachurina, A. A. Kudreyko, D. V. Bachurin, “Influence of two-dimensional discrete breathers on the macroscopic properties of fcc metals”, Eur. Phys. J. B, 98:2 (2025)
Igor A. Shepelev, Elvira G. Soboleva, Aleksey A. Kudreyko, Sergey V. Dmitriev, “Influence of the relative stiffness of second-neighbor interactions on chaotic discrete breathers in a square lattice”, Chaos, Solitons & Fractals, 183 (2024), 114885
I.V. Kosarev, S.A. Shcherbinin, A.A. Kistanov, R.I. Babicheva, E.A. Korznikova, S.V. Dmitriev, “An approach to evaluate the accuracy of interatomic potentials as applied to tungsten”, Computational Materials Science, 231 (2024), 112597
O.V. Bachurina, R.T. Murzaev, S.A. Shcherbinin, A.A. Kudreyko, S.V. Dmitriev, D.V. Bachurin, “Delocalized nonlinear vibrational modes in Ni3Al”, Communications in Nonlinear Science and Numerical Simulation, 132 (2024), 107890
Yu Mikhlin, K. Avramov, “Nonlinear Normal Modes of Vibrating Mechanical Systems: 10 Years of Progress”, Applied Mechanics Reviews, 76:5 (2024)
George Chechin, Denis Ryabov, “Exact solutions of nonlinear dynamical equations for large-amplitude atomic vibrations in arbitrary monoatomic chains with fixed ends”, Communications in Nonlinear Science and Numerical Simulation, 120 (2023), 107176
D. S. Ryabov, G. M. Chechin, E. K. Naumov, Yu. V. Bebikhov, E. A. Korznikova, S. V. Dmitriev, “One-component delocalized nonlinear vibrational modes of square lattices”, Nonlinear Dyn, 111:9 (2023), 8135
O V Bachurina, R T Murzaev, S A Shcherbinin, A A Kudreyko, S V Dmitriev, D V Bachurin, “Multi-component delocalized nonlinear vibrational modes in nickel”, Modelling Simul. Mater. Sci. Eng., 31:7 (2023), 075009
E. K. Naumov, Yu. V. Bebikhov, E. G. Ekomasov, E. G. Soboleva, S. V. Dmitriev, “Discrete breathers in square lattices from delocalized nonlinear vibrational modes”, Phys. Rev. E, 107:3 (2023)
A. S. Semenov, M. N. Semenova, Yu. V. Bebikhov, M. V. Khazimullin, “Simulation of Molecular-Dynamics Processes in 2D and 3D Crystalline Structures”, Tech. Phys., 67:6 (2022), 538
Levi C. Felix, Raphael M. Tromer, Cristiano F. Woellner, Chandra S. Tiwary, Douglas S. Galvao, “Mechanical response of pentadiamond: A DFT and molecular dynamics study”, Physica B: Condensed Matter, 629 (2022), 413576
Alina Y. Morkina, Dmitry V. Bachurin, Sergey V. Dmitriev, Aleksander S. Semenov, Elena A. Korznikova, “Modulational Instability of Delocalized Modes in fcc Copper”, Materials, 15:16 (2022), 5597
S.A. Shcherbinin, K.A. Krylova, G.M. Chechin, E.G. Soboleva, S.V. Dmitriev, “Delocalized nonlinear vibrational modes in fcc metals”, Communications in Nonlinear Science and Numerical Simulation, 104 (2022), 106039
Rita I. Babicheva, Alexander S. Semenov, Stepan A. Shcherbinin, Elena A. Korznikova, Aleksey A. Kudreyko, Priyanka Vivegananthan, Kun Zhou, Sergey V. Dmitriev, “Effect of the stiffness of interparticle bonds on properties of delocalized nonlinear vibrational modes in an fcc lattice”, Phys. Rev. E, 105:6 (2022)
Leysan Galiakhmetova, Alexander Semenov, MATHEMATICS EDUCATION AND LEARNING, 2633, MATHEMATICS EDUCATION AND LEARNING, 2022, 020028
Rita I. Babicheva, Alexander S. Semenov, Elvira G. Soboleva, Aleksey A. Kudreyko, Kun Zhou, Sergey V. Dmitriev, “Discrete breathers in a triangular β -Fermi-Pasta-Ulam-Tsingou lattice”, Phys. Rev. E, 103:5 (2021)
O. V. Bachurina, A. A. Kudreyko, “Two-component localized vibrational modes in fcc metals”, Eur. Phys. J. B, 94:11 (2021)
K.A. Krylova, I.P. Lobzenko, A.S. Semenov, A.A. Kudreyko, S.V. Dmitriev, “Spherically localized discrete breathers in bcc metals V and Nb”, Computational Materials Science, 180 (2020), 109695
Denis S. Ryabov, George M. Chechin, Abhisek Upadhyaya, Elena A. Korznikova, Vladimir I. Dubinko, Sergey V. Dmitriev, “Delocalized nonlinear vibrational modes of triangular lattices”, Nonlinear Dyn, 102:4 (2020), 2793
Alexander Semenov, Ramil Murzaev, Yuri Bebikhov, Aleksey Kudreyko, Sergey Dmitriev, “New types of one-dimensional discrete breathers in a two-dimensional lattice”, Lett. Mater., 10:2 (2020), 185

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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