%0 Journal Article
%T Nonlinear Supratransmission
%+ Laboratoire de Physique Mathématique et Théorique (PMT)
%A Leon, Jérôme
%A Geniet, Frédéric
%< avec comité de lecture
%Z 02/43
%@ 0953-8984
%J Journal of Physics: Condensed Matter
%I IOP Publishing
%V 15
%P 2933
%8 2003
%D 2003
%Z cond-mat/0305391
%K Gap soliton
%K Nonlinear energy transmission
%K Sine Gordon
%Z 05.45.Yv
%Z Physics [physics]/Condensed Matter [cond-mat]/Other [cond-mat.other]Journal articles
%X A nonlinear system possessing a natural forbidden band gap cantransmit energy of a signal with a frequency in the gap, as recently shown forthe nonlinear chain of coupled pendula [Phys Rev Lett 89 (2002) 134102]. Thisprocess of nonlinear supratransmission, occurring at a threshold exactlypredictable in many cases, is shown to have a simple experimental realizationwith a mechanical chain of pendula coupled by a coil spring. It is thenanalyzed in more detail by first going to different (non-integrable) systemswhich do sustain nonlinear supratransmission. Then a Josephson transmissionline (one dimensional array of short Josephson junctions coupled throughsuper-conducting wires), is shown to sustain also nonlinear supratransmission,though being related to a different class of boundary conditions, and despitethe presence of damping, finiteness and discreteness. Finally the mechanism atthe origin of nonlinear supratransmission is a nonlinear instability, and it isbriefly discussed here.
%G English
%2 https://hal.science/hal-00000362/document
%2 https://hal.science/hal-00000362/file/Art-JphysC.pdf
%L hal-00000362
%U https://hal.science/hal-00000362
%~ CNRS
%~ UNIV-MONTP2
%~ UNIV-MONTPELLIER
%~ UM1-UM2