Vibrational resonances in 1D Morse and FPU lattices

Details Vibrational resonances in 1D Morse and FPU lattices Vibrational resonances in 1D Morse and FPU lattices

2008-02-07

arxiv.org/abs/0802.1013v1

Nonlinear Sciences

Chaotic Dynamics

10 pages, 5 figures

Scientific paper

In the present paper the resonances of vibrational modes in one-dimensional random Morse lattice are found and analyzed. The resonance energy exchange is observed at some values of elongation. Resonance $2 \omega_1 = \omega_2$ is investigated in details. The interacting modes are inequivalent: the higher-frequency mode is much more stable in the excited state, i.e. its life-time is larger than the life-time of lower-frequency mode under the resonance conditions. Simple model of two nonlinearly coupled harmonic oscillators is also considered. It allows to get analytical description and to investigate the kinetics and the energy exchange degree vs. such parameters as the resonance detuning and specific energy. The very similar behavior is found in the Morse and the two-oscillatory models, and an excellent agreement between analytical and numerical results is obtained. Analogous resonance phenomena are also found in the random Fermi-Pasta-Ulam lattice under contraction.

Affiliated with

Also associated with

No associations

Rating

Vibrational resonances in 1D Morse and FPU lattices does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Vibrational resonances in 1D Morse and FPU lattices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Vibrational resonances in 1D Morse and FPU lattices will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-365182