2006
DOI: 10.1103/physrevlett.96.186105
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Dynamical Response of Nanomechanical Oscillators in Immiscible Viscous Fluid forIn VitroBiomolecular Recognition

Abstract: Dynamical response of nanomechanical cantilever structures immersed in a viscous fluid is important to in vitro single-molecule force spectroscopy, biomolecular recognition of disease-specific proteins, and the study of microscopic protein dynamics. Here we study the stochastic response of biofunctionalized nanomechanical cantilever beams in a viscous fluid. Using the fluctuation-dissipation theorem we derive an exact expression for the spectral density of displacement and a linear approximation for resonance … Show more

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Cited by 61 publications
(64 citation statements)
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“…The successful race for miniaturization of semiconductor technologies 2 manifests itself spectacularly in the form of nanoelectromechanical systems (NEMS) 3,4,5,6 , machines in the micron and submicron scale whose mechanical motion, integrated into electrical circuits, has a wealth of technological applications, including control of currents at the single-electron level 7 , single-spin detection 8 , sub-attonewton force detection 9 , mass sensing of individual molecules 10 , high-precision thermometry 11 or in-vitro single-molecule biomolecular recognition 12 .…”
Section: Introductionmentioning
confidence: 99%
“…The successful race for miniaturization of semiconductor technologies 2 manifests itself spectacularly in the form of nanoelectromechanical systems (NEMS) 3,4,5,6 , machines in the micron and submicron scale whose mechanical motion, integrated into electrical circuits, has a wealth of technological applications, including control of currents at the single-electron level 7 , single-spin detection 8 , sub-attonewton force detection 9 , mass sensing of individual molecules 10 , high-precision thermometry 11 or in-vitro single-molecule biomolecular recognition 12 .…”
Section: Introductionmentioning
confidence: 99%
“…If the Reynolds number decreases as a result of increasing viscosity or smaller b, the viscous contribution grows more significant, and two things occur: the resonant frequency shifts further downward, and the peak widens as cantilever motion is damped (Sader 1998, Dorignac et al 2006, Fritz 2008). The quality factor, Q, is a measure of the energy lost in one period of cantilever vibration:…”
Section: Dynamic Cantilever Sensorsmentioning
confidence: 99%
“…By solving this inverse problem, we actually provide a viable experimental method to determine the effects of both surface elasticity and surface stress. Because the surface stress effect is modelled as an axial load on the structure, two different models arise: the concentrated load model [3][4][5][6][7][8]13,16,24,[35][36][37] and the distributed load model [35][36][37]. The difference between these two models is also discussed.…”
Section: Introductionmentioning
confidence: 99%