69 citations · 108 across the 6 of their papers we have counts for
4 papers · 1 filter
The Stochastic Dynamics of Rectangular and V-shaped Atomic Force Microscope Cantilevers in a Viscous Fluid and Near a Solid Boundary
M. T. Clark, M. R. Paul
Using a thermodynamic approach based upon the fluctuation-dissipation theorem we quantify the stochastic dynamics of rectangular and V-shaped microscale cantilevers immersed in a v…
The Stochastic Dynamics of an Array of Atomic Force Microscopes in a Viscous Fluid
M. T. Clark, M. R. Paul
We consider the stochastic dynamics of an array of two closely spaced atomic force microscope cantilevers in a viscous fluid for use as a possible biomolecule sensor. The cantileve…
The stochastic dynamics of micron and nanoscale elastic cantilevers in fluid: fluctuations from dissipation
M. R. Paul, M. T. Clark, M. C. Cross
The stochastic dynamics of micron and nanoscale cantilevers immersed in a viscous fluid are quantified. Analytical results are presented for long slender cantilevers driven by Brow…
The stochastic dynamics of nanoscale mechanical oscillators immersed in a viscous fluid
M. R. Paul, M. C. Cross
The stochastic response of nanoscale oscillators of arbitrary geometry immersed in a viscous fluid is studied. Using the fluctuation-dissipation theorem it is shown that determinis…