Virginia TechHonig, Christopher D. F.Radiom, MiladRobbins, Brian A.Walz, John Y.Paul, Mark R.Ducker, William A.2014-01-212014-01-212012-02-01Honig, 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/10.1063/1.36811410003-6951http://hdl.handle.net/10919/24923We 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]en-USIn CopyrightAtomic force microscopyStochastic dynamicsFrequency-responseFluidsPhysicsArticle - Refereedhttp://scitation.aip.org/content/aip/journal/apl/100/5/10.1063/1.3681141https://doi.org/10.1063/1.3681141