机械谐振器中1/f频率噪声与体积成反比，而非与品质因数相关
1/f frequency noise in mechanical resonators scales inversely with volume, not with quality factor
浏览论文内容
中文总结 AI 辅助
本研究通过分析大量实验数据，发现机械谐振器的1/f频率噪声系数与体积成反比，与品质因数无关，并据此推导出质量分辨率与体积的标度关系。
中文摘要 AI 辅助
机械频移传感器从未达到其基本热力学或量子极限。迄今检验的每种材料、尺寸和换能方案均产生高出1-3个数量级的1/f噪声基底，其闪烁噪声系数$h_{-1} \propto 1/V_{\varepsilon}$。通过调查已发表的记录，我发现不变量$h_{-1}\\,V_{\varepsilon} \equiv σ_A ^2\\, V_{\varepsilon}/(2\ln 2)$在跨越13个数量级的器件尺寸范围内保持不变；体积无关噪声被9σ排除，位点平均被3.8σ排除。未出现Q依赖：当Q与体积共变时，所报告的$Q^{-n}$定律等效缩放；当它们不共变时，仅体积缩放成立。质量分辨率随之表示为$|δm| \propto \sqrt{h_{-1}\\,V_{\varepsilon} \cdot V}$。
英文摘要
Mechanical frequency-shift sensors have never reached their fundamental thermomechanical or quantum limits. Every material, size, and transduction scheme yet examined yields a $1/f$ floor 1-3 orders higher, with a flicker-noise coefficient $h_{-1} \propto 1/V_{\varepsilon}$. Surveying the published record, I find the invariant $h_{-1}\,V_{\varepsilon} \equiv σ_A ^2\, V_{\varepsilon}/(2\ln 2)$ independent of device size across 13 decades; volume-independent noise is excluded by 9$σ$, site-averaging by 3.8$σ$. No $Q$ dependence appears: reported $Q^{-n}$ laws scale equivalently when $Q$ and volume co-vary; only volume scaling survives when they do not. Mass resolution follows as $|δm| \propto \sqrt{h_{-1}\,V_{\varepsilon} \cdot V}$.
发表机构
- California Institute of Technology（加州理工学院）
机构由 AI 辅助整理，请以论文原文为准。
