Supratransmission in transversely connected nonlinear pendulum pairs

Kuitche, A. Kamdoum; Motcheyo, A.B. Togueu; Kanaa, Thomas; Tchawoua, Clément

doi:10.1016/j.chaos.2022.112196

Cited by 6 publications

(5 citation statements)

References 54 publications

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“…The characteristic energy profile is shown in Figure 2a. In general, this fact goes in line with results addressing energy transfer by NST mechanism discussed in [56][57][58][59].…”

Section: Resultssupporting

confidence: 88%

“…In conclusion, we will discuss the analytical description of solitary waves excited within the framework of nonlinear supratransmission. In [58], a solution to the discrete variational equations of macroscopic and microscopic displacements in the form of solitary waves for solids was obtained.…”

Section: Resultsmentioning

confidence: 99%

“…The equations considered in [58] are a nonlinear generalization of the linear equations of acoustic and optical modes derived by M. Born and H. Kun [59]. We have modified the arguments (4) to the following form:…”

Section: 𝑈 𝑞 𝑡mentioning

confidence: 99%

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The Influence of Crystal Anisotropy on the Characteristics of Solitary Waves in the Nonlinear Supratransmission Effect: Molecular Dynamic Modeling

Zakharov,

Korznikova,

Izosimov

et al. 2023

Computation

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This study examines the mechanism of nonlinear supratransmission (NST), which involves the transfer of disturbance to discrete media at frequencies not supported by the structure. We considered a model crystal with A3B stoichiometry. The investigation was carried out using atomistic modeling through molecular dynamics. The interatomic interaction was determined by a potential obtained through the embedded atom method, which approximates the properties of the Pt3Al crystal. The effect of NST is an important property of many discrete structures. Its existence requires the discreteness and nonlinearity of the medium, as well as the presence of a forbidden zone in its spectrum. This work focuses on the differences in the NST effect due to the anisotropy of crystallographic directions. Three planes along which the disturbance caused by NST propagated were considered: (100), (110), and (111). It was found that the intensity of the disturbance along the (100) plane is an order of magnitude lower than for more densely packed directions. Differences in the shape of solitary waves depending on the propagation direction were shown. Moreover, all waves can be described by a single equation, being a solution of the discrete variational equations of macroscopic and microscopic displacements, with different parameters, emphasizing the unified nature of the waves and the contribution of crystal anisotropy to their properties. Studying the NST phenomenon is essential due to numerous applications of the latter, such as implications in information transmission and signal processing. Understanding how disturbances propagate in discrete media could lead to advancements in communication technologies, data storage, and signal amplification where the earlier mentioned ability to describe it with analytical equations is of particular importance.

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“…The characteristic energy profile is shown in Figure 2a. In general, this fact goes in line with results addressing energy transfer by NST mechanism discussed in [56][57][58][59].…”

Section: Resultssupporting

confidence: 88%

Section: Resultsmentioning

confidence: 99%

See 1 more Smart Citation

The Influence of Crystal Anisotropy on the Characteristics of Solitary Waves in the Nonlinear Supratransmission Effect: Molecular Dynamic Modeling

Zakharov,

Korznikova,

Izosimov

et al. 2023

Computation

View full text Add to dashboard Cite

show abstract

“…The time-periodic solution of the equation can be obtained by proposing a harmonic solution in the form θ n = x n cos(ωt) (see Refs. [40][41][42]). The map corresponding to the stationary equation can be written as [40][41][42][43][44][45][46][47][48] x…”

Section: B Supratransmission Thresholdmentioning

confidence: 99%