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Nonlinear damping and dephasing in nanomechanical systems

机译：纳米机械系统中的非线性阻尼和相移

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摘要

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 2hω_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.
机译：我们提出了一种微观力学理论，它对纳米机械和微机械系统中的低频本征模进行非线性阻尼和移相。两种作用的机理都是将热激发的振动模式从考虑的本征模上散射开来。对于非线性阻尼，伴随着2hω_0的能量传递，而对于相移，则为准弹性散射。我们开发了一种形式主义，可以研究空间均匀的系统和具有强烈不均匀性的系统，该系统在典型的热模波长上是平滑的，但在平均自由程上则很明显。形式主义解释了热模的衰减，热模在非线性阻尼和移相中起主要作用。我们确定了Landau-Rumer，热弹性和Akhiezer机制的非线性类似物，并发现了松弛参数对系统温度和几何形状的依赖性。

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  • 来源
    《Physical review》 |2016年第19期|195440.1-195440.23|共23页
  • 作者

    Juan Atalaya; Thomas W. Kenny; M. L. Roukes; M. I. Dykman;

  • 作者单位

    Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA,Department of Electrical Engineering, UC Riverside, Riverside, CA 92521;

    Department of Mechanical Engineering, Stanford University, Stanford, California 94305, USA;

    Kavli Nanoscience Institute and Departments of Physics, Applied Physics, and Bioengineering, Caltech, Pasadena, California 91125, USA;

    Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA;

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