Multimode brownian dynamics of a nanomechanical resonator in a viscous fluid

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buir.contributor.authorErdoğan, Ramazan Tufan
buir.contributor.authorHanay, Mehmet Selim
buir.contributor.orcidErdoğan, Ramazan Tufan|0000-0001-7657-6362
buir.contributor.orcidHanay, Mehmet Selim|0000-0002-1928-044X
dc.citation.epage044061-11en_US
dc.citation.issueNumber4
dc.citation.spage044061-1
dc.citation.volumeNumber20
dc.contributor.authorGress, H.
dc.contributor.authorBarbish, J.
dc.contributor.authorYanik, C.
dc.contributor.authorKaya, I.I.
dc.contributor.authorErdoğan, Ramazan Tufan
dc.contributor.authorHanay, Mehmet Selim
dc.contributor.authorGonzález, M.
dc.contributor.authorSvitelskiy, O.
dc.contributor.authorPaul, M.R.
dc.contributor.authorEkinci, K.L.
dc.date.accessioned2024-03-13T06:23:33Z
dc.date.available2024-03-13T06:23:33Z
dc.date.issued2023-10-24
dc.departmentDepartment of Mechanical Engineering
dc.departmentNational Nanotechnology Research Center (UNAM)
dc.description.abstractBrownian motion imposes a hard limit on the overall precision of a nanomechanical measurement. Here, we present a combined experimental and theoretical study of the Brownian dynamics of a quintessential nanomechanical system, a doubly clamped nanomechanical beam resonator, in a viscous fluid. Our theoretical approach is based on the fluctuation-dissipation theorem of statistical mechanics: we determine the dissipation from fluid dynamics; we incorporate this dissipation into the proper elastic equation to obtain the equation of motion; and the fluctuation-dissipation theorem then directly provides an analytical expression for the position-dependent power spectral density (PSD) of the displacement fluctuations of the beam. We compare our theory to experiments on nanomechanical beams immersed in air and water and obtain excellent agreement. Within our experimental parameter range, the Brownian-force noise driving the nanomechanical beam has a colored PSD due to the "memory"of the fluid; the force noise remains mode independent and uncorrelated in space. These conclusions are not only of interest for nanomechanical sensing but also provide insight into the fluctuations of elastic systems at any length scale.
dc.identifier.doi10.1103/PhysRevApplied.20.044061
dc.identifier.eissn2331-7019
dc.identifier.urihttps://hdl.handle.net/11693/114643
dc.language.isoen
dc.publisherAmerican Physical Society
dc.relation.isversionofhttps://dx.doi.org/10.1103/PhysRevApplied.20.044061
dc.rightsCC BY 4.0 DEED (Attribution 4.0 International)
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.source.titlePhysical Review Applied
dc.titleMultimode brownian dynamics of a nanomechanical resonator in a viscous fluid
dc.typeArticle

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Institute of Materials Science and Nanotechnology (UNAM)
Department of Mechanical Engineering