Thermal noise of microcantilevers in viscous fluids

Abstract

We present a simple theoretical framework to describe the thermal noise of a microscopic mechanical beam in a viscous fluid: we use the Sader approach to describe the effect of the surrounding fluid (added mass and viscous drag), and the fluctuation dissipation theorem for each flexural modes of the system to derive a general expression for the power spectrum density of fluctuations. This prediction is compared with an experimental measurement on a commercial atomic force microscopy cantilever in a frequency range covering the two first resonances. A very good agreement is found on the whole spectrum, with no adjustable parameters but the thickness of the cantilever.

References in corpus (2)

• The stochastic dynamics of micron and nanoscale elastic cantilevers in fluid: fluctuations from dissipation
• Dynamical Response of Nanomechanical Oscillators in Immiscible Viscous Fluid for in vitro Biomolecular Recognition

Cited by in corpus (7)

• Frequency dependence of viscous and viscoelastic dissipation in coated micro-cantilevers from noise measurement
• Viscous cavity damping of a microlever in a simple fluid
• Learning efficient erasure protocols for an underdamped memory
• Multi-mode Brownian Dynamics of a Nanomechanical Resonator in a Viscous Fluid
• Virtual potential created by a feedback loop: taming the feedback demon to explore stochastic thermodynamics of underdamped systems
• Virtual double-well potential for an underdamped oscillator created by a feedback loop
• Calibrated force measurement in Atomic Force Microscopy using the Transient Fluctuation Theorem