Mass-loading induced dephasing in nanomechanical resonators
I study dephasing of an underdamped nanomechanical resonator subject to random mass loading of small particles. I present a frequency noise model which describes dephasing due to attachment and detachment of particles at random points and particle diffusion along the resonator. This situation is com...
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| Published in | arXiv.org |
|---|---|
| Main Author | |
| Format | Paper Journal Article |
| Language | English |
| Published |
Ithaca
Cornell University Library, arXiv.org
03.10.2012
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| Online Access | Get full text |
| ISSN | 2331-8422 |
| DOI | 10.48550/arxiv.1205.1729 |
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| Abstract | I study dephasing of an underdamped nanomechanical resonator subject to random mass loading of small particles. I present a frequency noise model which describes dephasing due to attachment and detachment of particles at random points and particle diffusion along the resonator. This situation is commonly encountered in current mass measurement experiments using NEM resonators. I discuss the conditions which can lead to inhomogeneous broadening and fine structure in the modes absorption spectra. I also show that the spectra of the higher order cumulants of the (complex) vibrational mode amplitude are sensitive to the parameters characterizing the frequency noise process. Hence, measurement of these cumulants can provide information not only about the mass but also about other parameters of the particles (diffusion coefficient and attachment-detachment rates.) |
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| AbstractList | J. Phys.: Condens. Matter 24 (2012) 475301 I study dephasing of an underdamped nanomechanical resonator subject to
random mass loading of small particles. I present a frequency noise model which
describes dephasing due to attachment and detachment of particles at random
points and particle diffusion along the resonator. This situation is commonly
encountered in current mass measurement experiments using NEM resonators. I
discuss the conditions which can lead to inhomogeneous broadening and fine
structure in the modes absorption spectra. I also show that the spectra of the
higher order cumulants of the (complex) vibrational mode amplitude are
sensitive to the parameters characterizing the frequency noise process. Hence,
measurement of these cumulants can provide information not only about the mass
but also about other parameters of the particles (diffusion coefficient and
attachment-detachment rates.) I study dephasing of an underdamped nanomechanical resonator subject to random mass loading of small particles. I present a frequency noise model which describes dephasing due to attachment and detachment of particles at random points and particle diffusion along the resonator. This situation is commonly encountered in current mass measurement experiments using NEM resonators. I discuss the conditions which can lead to inhomogeneous broadening and fine structure in the modes absorption spectra. I also show that the spectra of the higher order cumulants of the (complex) vibrational mode amplitude are sensitive to the parameters characterizing the frequency noise process. Hence, measurement of these cumulants can provide information not only about the mass but also about other parameters of the particles (diffusion coefficient and attachment-detachment rates.) |
| Author | Atalaya, J |
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| BackLink | https://doi.org/10.1088/0953-8984/24/47/475301$$DView published paper (Access to full text may be restricted) https://doi.org/10.48550/arXiv.1205.1729$$DView paper in arXiv |
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| Copyright | 2012. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. http://arxiv.org/licenses/nonexclusive-distrib/1.0 |
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| DOI | 10.48550/arxiv.1205.1729 |
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| Snippet | I study dephasing of an underdamped nanomechanical resonator subject to random mass loading of small particles. I present a frequency noise model which... J. Phys.: Condens. Matter 24 (2012) 475301 I study dephasing of an underdamped nanomechanical resonator subject to random mass loading of small particles. I... |
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| SubjectTerms | Absorption spectra Diffusion coefficient Diffusion rate Fine structure Noise measurement Parameter sensitivity Particle diffusion Physics - Mesoscale and Nanoscale Physics Resonators |
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| Title | Mass-loading induced dephasing in nanomechanical resonators |
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