Chaotic discrete breathers and their effect on macroscopic properties of triangular lattice

Upadhyaya, Abhisek; Semenova, Mariya; Kudreyko, Aleksey

doi:10.1016/j.cnsns.2022.106541

Cited by 19 publications

(8 citation statements)

References 41 publications

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“…Such a phenomenon of modulation instability due to high oscillation amplitudes is well known and has been observed earlier [17]. Note that the development of a modulation instability can lead to the effect of energy localization on discrete breathers in nonlinear lattices of various dimensions [24,28,39].…”

Section: Different Initial Oscillation Amplitudesmentioning

confidence: 66%

Multi-component delocalized nonlinear vibrational modes in nickel

Bachurina,

Murzaev,

Shcherbinin

et al. 2023

Modelling Simul. Mater. Sci. Eng.

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Delocalized nonlinear vibrational modes (DNVMs) are relatively new dynamical objects that can be used for testing interatomic potentials and for classification and finding new types of discrete breathers. In this work, for the first time, multi-component DNVMs in a single crystal of fcc nickel are studied using molecular dynamics method. Previously discovered two one-component DNVMs are used to construct and investigate properties of all possible two- and three-component superpositions. A quasi-periodic energy exchange between components in multi-component DNVMs is described. If the amplitudes of the one-component DNVMs in a superposition differ by less than four times, then an equivalent energy exchange between them is observed. Otherwise, an unequal energy exchange takes place, i.e., when the high-amplitude component gives up only a part of its energy leading to a slight increase in the amplitude of another component. The DNVMs consisting of two- and three-components have a lifetime of more than 10 ps as long as the initial atomic amplitudes do not exceed 0.08 Å. An increase in the initial amplitude leads to a substantial decrease in the lifetime due to the rapidly developing modulational instability. Some superpositions of modes with the same initial amplitudes of the components can transform into a one-component DNVM, while others remain multi-component ones. The results obtained in this work demonstrate the existence of multi-component DNVMs, being a superposition of two or three components, which significantly expands our understanding of their dynamics in an fcc lattice.

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Section: Different Initial Oscillation Amplitudesmentioning

confidence: 66%

Multi-component delocalized nonlinear vibrational modes in nickel

Bachurina,

Murzaev,

Shcherbinin

et al. 2023

Modelling Simul. Mater. Sci. Eng.

View full text Add to dashboard Cite

show abstract

“…5. DNVMs exhibiting soft anharmonicity or a slow rise in the frequency with the amplitude also exhibit a slow increase in normal stress and elastic constants with the amplitude, e.g., DNVMs 8,10,11,and 12. Chaotic DBs appear in the lattices as a result of the modulational instability of DNVMs with frequencies outside the phonon band [34][35][36][37][38][39][40][41][42][43]. The current study shows that DNVMs 1 to 6 are good candidates for creating chaotic DBs, and this should be verified in future work.…”

Section: Conclusion and Future Research Directionsmentioning

confidence: 99%

“…DNVMs with frequencies outside the phonon band of the lattice can be used for obtaining new types of DBs by superimposing a localizing function [20,25,[29][30][31][32]. It has been revealed that DNVMs affect the elastic constants of nonlinear lattices [21,33], and the modulational instability of DNVMs with frequencies outside the phonon band results in the formation of chaotic DBs [29,[34][35][36][37][38][39][40][41][42][43]. Recently, it has been demonstrated that DNVMs can be used to assess the accuracy of interatomic potentials [28].…”

Section: Introductionmentioning

confidence: 99%

Effect of the stiffness of interparticle bonds on properties of delocalized nonlinear vibrational modes in an fcc lattice

et al. 2022

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“…Chaotic DBs can emerge in the lattices as a result of modulational instability of DNVMs [36][37][38][39][40][41][42] . The effect of chaotic DBs on macroscopic properties of triangular lattice was analysed 43 . DNVMs can be used to solve the important problem of checking the accuracy of interatomic potentials in molecular dynamics simulations 18 .…”

Section: Introductionmentioning

confidence: 99%