Fluctuation and dissipation of a stochastic micro-oscillator under delayed feedback

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Abstract

We investigate the dynamics of a microcantilever subjected to the combined forcing from Brownian motion and delayed self-feedback. Specifically, the excitation of the fundamental mode of the cantilever by thermomechanical agitation is utilized as delayed external forcing and the resulting dynamical response is studied as a function of the delay and the coupling strength. A fluctuation-dissipation theorem is derived from the delay Langevin-like equation and its validity is discussed. The relaxation time scale associated with the adsorption processes is established and an experiment to determine the oscillator's effective temperature is proposed.

Original languageEnglish
Article number114314
JournalJournal of Applied Physics
Volume100
Issue number11
DOIs
StatePublished - 2006

Funding

This work was supported in part by the DOE ERSP and DOE NA22. V.P. acknowledges partial support from the Materials Science and Engineering Program of DOE's Office of Basic Energy Sciences and from the SensorNet Program. Oak Ridge National Laboratory, Oak Ridge, Tennessee, is managed by UT-Battelle, LLC for the Department of Energy under Contract No. DE-AC05–0096OR22725.

FundersFunder number
DOE NA22
U.S. Department of EnergyDE-AC05–0096OR22725
Basic Energy Sciences

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