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Published November 15, 2016 | Submitted + Published
Journal Article Open

Nonlinear damping and dephasing in nanomechanical systems

Abstract

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.

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).

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Published - PhysRevB.94.195440.pdf

Submitted - 1609.08714.pdf

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