涨落驱动的纳米机械杜芬振子的统计特性
Statistical Properties of a Fluctuation-Driven Nanomechanical Duffing Resonator
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中文总结 AI 辅助
研究纳米机械双端固支梁振子的涨落非线性动力学,引入基于模式涨落振幅的有效温度,发现大振幅下非线性显著时有效热能降低、响应统计从高斯转为低峰态。
中文摘要 AI 辅助
我们研究纳米机械双端固支梁振子多个模式的涨落非线性动力学。每个模式由以共振为中心的高斯力噪声驱动,在增大力幅值时监测模式响应,诱导从谐波到非线性杜芬 regime 的转变。为表征动力学,我们基于模式涨落振幅引入有效温度。当大振幅下非线性变得显著时,观察到有效热能降低,响应统计从高斯态转变为低峰态,与杜芬势中的预期动力学一致。
英文摘要
We investigate the fluctuating nonlinear dynamics of multiple modes of a nanomechanical doubly clamped beam resonator. Each mode is driven by Gaussian force noise centered around the resonance; the mode response is monitored while the force magnitude is increased, inducing a transition from harmonic to the nonlinear Duffing regime. To characterize the dynamics, we introduce an effective temperature based on the mode fluctuation amplitude. As the nonlinearity becomes prominent at large amplitudes, we observe a reduction in the effective thermal energy and a crossover in response statistics from Gaussian to platykurtic, consistent with the dynamics expected in a Duffing potential.
发表机构
- Boston University(波士顿大学)
- Virginia Tech(弗吉尼亚理工大学)
- James Madison University(詹姆斯麦迪逊大学)
- Sabanci University(萨班哲大学)
- Bilkent University(比尔肯特大学)
- Gordon College(戈登学院)
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