Periodic driving shape controls energy transmission.

Autor:	Simadji Ngamou C; Laboratory of Mechanics and Complex Systems, Department of Physics, Faculty of Science, University of Yaoundé 1, P.O. Box 812, Ngoa Ekelle, Yaoundé, Cameroon., Ndjomatchoua FT; Epidemiology and Modelling Group, Department of Plant Sciences, School of the Biological Sciences, University of Cambridge, Cambridge CB2 3EA, United Kingdom., Tchawoua C; Laboratory of Mechanics and Complex Systems, Department of Physics, Faculty of Science, University of Yaoundé 1, P.O. Box 812, Ngoa Ekelle, Yaoundé, Cameroon.
Jazyk:	angličtina
Zdroj:	Physical review. E [Phys Rev E] 2024 May; Vol. 109 (5), pp. L052201.
DOI:	10.1103/PhysRevE.109.L052201
Abstrakt:	In the early 2000s, Geniet and Leon [Phys. Rev. Lett. 89, 134102 (2002)0031-900710.1103/PhysRevLett.89.134102] discovered the nonlinear supratransmission (NST) in a medium with a forbidden frequency band gap. It is a process in which nonlinear structures are created by a sinusoidal harmonic boundary condition imposed at a frequency in the band gap. The present study extends this concept and shows that an optimal shape of a periodic nonsinusoidal excitation may induce (or inhibit) energy flow through the lattice below (or above) the NST threshold, demonstrating that nonlinear supratransmission is reliant not only on the driving amplitude but also on its shape. This is evidenced through numerical simulations and mathematical calculations varying the excitation signal shape in the Fermi-Pasta-Ulam case study. Setting the shape parameter to zero recovers the results of the literature in relation to the sinusoidal signal.
Databáze:	MEDLINE
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