Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2004-07-06
Phys. Rev. E, v. 70, 066626 (2004)
Physics
Condensed Matter
Statistical Mechanics
8 pages, 9 figures. Phys. Rev. E (accepted)
Scientific paper
10.1103/PhysRevE.70.066626
The recently discovered phenomenon of nonlinear supratransmission consists in a sudden increase of the amplitude of a transmitted wave triggered by the excitation of nonlinear localized modes of the medium. We examine this process for the Fermi-Pasta-Ulam chain, sinusoidally driven at one edge and damped at the other. The supratransmission regime occurs for driving frequencies above the upper band-edge and originates from direct moving discrete breather creation. We derive approximate analytical estimates of the supratransmission threshold, which are in excellent agreement with numerics. When analysing the long-time behavior, we discover that, below the supratransmission threshold, a conducting stationary state coexists with the insulating one. We explain the bistable nature of the energy flux in terms of the excitation of quasi-harmonic extended waves. This leads to the analytical calculation of a lower-transmission threshold which is also in reasonable agreement with numerical experiments.
Khomeriki Ramaz
Lepri Stefano
Ruffo Stefano
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