论文标题
在非线性反应中硝化硅纳米机电谐振器的非线性响应中的滞后窗口的随机切换和挤压
Stochastic switching and squeeze of hysteresis window in nonlinear responses of silicon nitride membrane nanoelectromechanical resonators
论文作者
论文摘要
在这项工作中，我们介绍了白噪声产生的随机力对氮化硅膜非线性动力学产生的影响。通过将膜调整到行驶非线性区域，已经观察到检测到的信号在低振幅和高幅度之间切换。它们是由在室温下双向状态之间噪声辅助的随机跳跃产生的，并且对驾驶频率表现出较高的敏感性。通过通过白噪声的外部输入来人为地加热不同的机械振动模式，切换速率表现出对有效温度的指数依赖性，并随后遵循Kramer定律。此外，测得的开关速率和激活能在非线性响应中对磁滞窗口宽度的敏感性和与理论描述的定性一致。此外，还观察到了白噪声引起的磁滞窗口挤压和分叉点的转移，这归因于膜的弹簧常数的随机力调制。这些研究对于生成和操纵随机开关效应至关重要，这为基于纳米力学谐振器中概率分布的新功能铺平了道路。
In this work, we present the effects of stochastic force generated by white noise on the nonlinear dynamics of a circular silicon nitride membrane. By tuning the membrane to the Duffing nonlinear region, detected signals switching between low- and high- amplitudes have been observed. They are generated by noise-assisted random jumps between bistable states at room temperature and exhibit high sensitivity to the driving frequency. Through artificially heating different mechanical vibration modes by external input of white noise, the switching rate exhibits exponential dependence on the effective temperature and follows with Kramer's law. Furthermore, both the measured switching rate and activation energy exhibit sensitivity to the width of the hysteresis window in nonlinear response and the driving force, which is in qualitative agreement with the theoretical descriptions. Besides, white noise-induced hysteresis window squeezing and bifurcation point shifting have also been observed, which are attributed to the stochastic force modulation of the spring constant of the membrane. These studies are essential for the generation and manipulation of stochastic switching effects, paving the way to explore new functions based on probability distributions in nanomechanical resonators.
