As a model of coupled nano-electromechanical resonators we study two nonlinear driven oscillators with an arbitrary coupling strength between them. Analytical expressions are derived for the oscillation amplitudes as a function of the driving frequency and for the energy transfer rate between the two oscillators. The nonlinear restoring forces induce the expected nonlinear resonance structures in the amplitude-frequency characteristics with asymmetric resonance peaks. The corresponding multistable behaviour is shown to be an efficient tool to control the energy transfer arising from the sensitive response to small changes in the driving frequency. It is shown that the energy transfer rate between the nano-electromechanical resonators can be controlled by tuning the driving field frequency. In addition, our results imply that the nonlinear response can be exploited to design precise sensors for mass or force detection experiments based on nano-electromechanical resonators.

Nonlinear dynamics of two coupled nano-electromechanical resonators / L., Chotorlishvili; A., Ugulava; G., Mchedlishvili; A., Komnik; Wimberger, Sandro Marcel; J., Berakdar. - In: JOURNAL OF PHYSICS. B, ATOMIC MOLECULAR AND OPTICAL PHYSICS. - ISSN 0953-4075. - 44:21(2011), p. 215402. [10.1088/0953-4075/44/21/215402]

Nonlinear dynamics of two coupled nano-electromechanical resonators

WIMBERGER, Sandro Marcel;
2011-01-01

Abstract

As a model of coupled nano-electromechanical resonators we study two nonlinear driven oscillators with an arbitrary coupling strength between them. Analytical expressions are derived for the oscillation amplitudes as a function of the driving frequency and for the energy transfer rate between the two oscillators. The nonlinear restoring forces induce the expected nonlinear resonance structures in the amplitude-frequency characteristics with asymmetric resonance peaks. The corresponding multistable behaviour is shown to be an efficient tool to control the energy transfer arising from the sensitive response to small changes in the driving frequency. It is shown that the energy transfer rate between the nano-electromechanical resonators can be controlled by tuning the driving field frequency. In addition, our results imply that the nonlinear response can be exploited to design precise sensors for mass or force detection experiments based on nano-electromechanical resonators.
2011
Nonlinear dynamics of two coupled nano-electromechanical resonators / L., Chotorlishvili; A., Ugulava; G., Mchedlishvili; A., Komnik; Wimberger, Sandro Marcel; J., Berakdar. - In: JOURNAL OF PHYSICS. B, ATOMIC MOLECULAR AND OPTICAL PHYSICS. - ISSN 0953-4075. - 44:21(2011), p. 215402. [10.1088/0953-4075/44/21/215402]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11381/2696732
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