微纳谐振器中长程非接触摩擦的唯象建模
Phenomenological modeling of long range noncontact friction in micro- and nanoresonators
摘要：
受Gotsmann和Fuchs使用原子力显微镜进行的实验结果的启发[Phys. Rev. Lett. { \bf 86}，2597（2001）]，其中测量到由于尖端-样品相互作用引起的强能量损失，我们研究了该能量损失通道对悬浮的微和纳米谐振器的品质因数的潜在影响。由于所观察到的尖端样品耗散仍然没有一个令人满意的理论解释，提出了两个唯象模型来概括的实验观察。一个最小的唯象模型只是扩大了较大的分离的有效性范围的幂律实验发现的阻尼系数。一个更精细的唯象模型假设非接触摩擦是Casimir力作用在紧密间隔的表面之间的结果。这两个模型提供了定量的结果，任何两个物体之间的非接触摩擦，然后用于估计悬杆微纳米谐振器的能量损失。其结论是，由于未知的机制的能量损失有可能严重限制的品质因数的微和纳米谐振器。
英文摘要：
Motivated by the results of an experiment using atomic force microscopy performed by Gotsmann and Fuchs [Phys. Rev. Lett. {\bf 86}, 2597 (2001)], where a strong energy loss due to the tip-sample interaction was measured, we investigate the potential implications of this energy loss channel to the quality factor of suspended micro- and nanoresonators. Because the observed tip-sample dissipation remains without a satisfactory theoretical explanation, two phenomenological models are proposed to generalize the experimental observations. A minimal phenomenological model simply extends for larger separations the range of validity of the power law found experimentally for the damping coefficient. A more elaborate phenomenological model assumes that the noncontact friction is a consequence of the Casimir force acting between the closely spaced surfaces. Both models provide quantitative results for the noncontact friction between any two objects which are then used to estimate the energy loss for suspended bar micro- and nanoresonators. Its is concluded that the energy loss due to the unknown mechanism has the potential to seriously restrict the quality factor of both micro- and nanoresonators.
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