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Nonlinear damping and dephasing in nanomechanical systems

Atalaya, Juan and Kenny, Thomas W. and Roukes, M. L. and Dykman, M. I. (2016) Nonlinear damping and dephasing in nanomechanical systems. Physical Review B, 94 (19). Art. No. 195440. ISSN 2469-9950. doi:10.1103/PhysRevB.94.195440.

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We present a microscopic theory of nonlinear damping and dephasing of low-frequency eigenmodes in nanomechanical and micromechanical systems. The mechanism of the both effects is scattering of thermally excited vibrational modes off the considered eigenmode. The scattering is accompanied by energy transfer of 2ℏω_0 for nonlinear damping and is quasielastic for dephasing. We develop a formalism that allows studying both spatially uniform systems and systems with a strong nonuniformity, which is smooth on the typical wavelength of thermal modes but is pronounced on their mean free path. The formalism accounts for the decay of thermal modes, which plays a major role in the nonlinear damping and dephasing. We identify the nonlinear analogs of the Landau-Rumer, thermoelastic, and Akhiezer mechanisms and find the dependence of the relaxation parameters on the temperature and the geometry of a system.

Item Type:Article
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URLURL TypeDescription Paper
Roukes, M. L.0000-0002-2916-6026
Additional Information:© 2016 American Physical Society. (Received 28 September 2016; published 28 November 2016) J.A., T.K., and M.I.D. gratefully acknowledge partial support from U. S. Defense Advanced Research Projects Agency (Grant No. FA8650-13-1-7301). J.A. was also supported in part by the Institute of Mathematical Physics at MSU. M.R. and M.I.D. were supported in part by the National Science Foundation (Grant No. DMR-1514591).
Group:Kavli Nanoscience Institute
Funding AgencyGrant Number
Air Force Office of Scientific Research (AFOSR)FA8650-13-1-7301
Defense Advanced Research Projects Agency (DARPA)UNSPECIFIED
Michigan State UniversityUNSPECIFIED
Issue or Number:19
Record Number:CaltechAUTHORS:20161129-110301068
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Official Citation:Nonlinear damping and dephasing in nanomechanical systems Juan Atalaya, Thomas W. Kenny, M. L. Roukes, and M. I. Dykman Phys. Rev. B 94, 195440
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:72403
Deposited By: George Porter
Deposited On:29 Nov 2016 20:25
Last Modified:11 Nov 2021 05:00

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