In a strongly driven nanomechanical mode, ring-down in the rotating frame is non-exponential: the in-phase component initially decays at about twice the rate of the quadrature, as a Duffing model with a dominant second harmonic predicts.
Resonantly induced friction in driven nanomechanical systems
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abstract
We propose a new mechanism of friction in resonantly driven vibrational systems. The form of the friction force follows from the time- and spatial-symmetry arguments. We consider a microscopic mechanism of this resonant force in nanomechanical systems. The friction can be negative, leading to an instability of forced vibrations of a nanoresonator and the onset of self-sustained oscillations in the rotating frame.
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Non-Exponential Relaxation in the Rotating Frame of a Driven Nanomechanical Mode
In a strongly driven nanomechanical mode, ring-down in the rotating frame is non-exponential: the in-phase component initially decays at about twice the rate of the quadrature, as a Duffing model with a dominant second harmonic predicts.