Energy transmission in the forbidden bandgap of a nonlinear chain

2002/09/10 by F. Geniet, J. Leon · 4 citations
Physics and Astronomy · #nlin.PS #cond-mat.soft

paper · pdf · doi:10.1103/physrevlett.89.134102

LaTex file, 6 figures, published in Phys Rev Lett 89 (2002) 134102

arxiv created 2002/09/10 · arxiv updated 2009/11/30

Abstract

A nonlinear chain driven by one end may propagate energy in the forbidden band gap by means of nonlinear modes. For harmonic driving at a given frequency, the process ocurs at a threshold amplitude by sudden large energy flow, that we call nonlinear supratransmission. The bifurcation of energy transmission is demonstrated numerically and experimentally on the chain of coupled pendula (sine-Gordon and nonlinear Klein-Gordon equations) and sustained by an extremely simple theory.

Cited by

• Supratransmission in Lattices with Purely Nonlinear Coupling
• Pearl supratransmission in a boundary-driven two-dimensional nonlinear Schrödinger equation with a hole
• Supratransmission of rogue wave-like breathing solitons
• Long-time soliton dynamics via a coarse-grained space-time method