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Nanomechanical resonators with high aspect ratio, such as nanotubes and nanowires are of interest due to their expected high sensitivity. However, a strongly nonlinear response combined with a high thermomechanical noise level limits the useful linear dynamic range of this type of device. We derive the equations governing this behavior and find a strong dependence ∝d(d∕L)5 of the dynamic range on aspect ratio.
Postma et al. (Tue,) studied this question.
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