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Type: Journal article
Title: Stochastic elastohydrodynamics of a microcantilever oscillating near a wall
Author: Clarke, Richard John
Jensen, O. E.
Billingham, J.
Pearson, A. P.
Williams, P. M.
Citation: Physical Review Letters, 2006; 96(5):050801
Publisher: American Physical Society : Applied Mathematics
Issue Date: 2006
ISSN: 0031-9007
School/Discipline: School of Mathematical Sciences
Statement of
R. J. Clarke, O. E. Jensen, J. Billingham, A. P. Pearson, and P. M. Williams
Abstract: We consider the thermally driven motion of a microcantilever in a fluid environment near a wall, a configuration characteristic of the atomic force microscope. A theoretical model is presented which accounts for hydrodynamic interactions between the cantilever and wall over a wide range of frequencies and which exploits the fluctuation-dissipation theorem to capture the Brownian dynamics of the coupled fluid-cantilever system. Model predictions are tested against experimental thermal spectra for a cantilever in air and water. The model shows how, in a liquid environment, the effects of non-δ-correlated Brownian forcing appear in the power spectrum, particularly at low frequencies. The model also predicts accurately changes in the spectrum in liquid arising through hydrodynamic wall effects, which we show are strongly mediated by the angle at which the cantilever is tilted relative to the wall.
Keywords: Atomic-force microscope; frequency-response; viscous fluids
Rights: ©2006 American Physical Society
DOI: 10.1103/PhysRevLett.96.050801
Appears in Collections:Applied Mathematics publications

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