Correlations between the thermal vibrations of two cantilevers: Validation of deterministic analysis via the fluctuation-dissipation theorem

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2012-02-01

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AIP Publishing

Abstract

We validate a theoretical approach for analyzing correlations in the fluctuations of two cantilevers in terms of a deterministic model, using the fluctuation-dissipation theorem [M. R. Paul and M. C. Cross, Phys. Rev. Lett. 92, 235501 (2004)]. The validation has been made possible through measurement of the correlations between the thermally stimulated vibrations of two closely spaced micrometer-scale cantilevers in fluid. Validation of the theory enables development of a method for characterizing fluids, which we call correlation force spectrometry. (C) 2012 American Institute of Physics. [doi:10.1063/1.3681141]

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Keywords

Atomic force microscopy, Stochastic dynamics, Frequency-response, Fluids, Physics

Citation

Honig, Christopher D. F.; Radiom, Milad; Robbins, Brian A.; et al., "Correlations between the thermal vibrations of two cantilevers: Validation of deterministic analysis via the fluctuation-dissipation theorem," Appl. Phys. Lett. 100, 053121 (2012); http://dx.doi.org/10.1063/1.3681141