NER: Stochastic Resonance in Nanomechanical Resonators

NER：纳米机械谐振器中的随机谐振

• 批准号: 0404206
• 负责人: Pritiraj Mohanty
• 金额: $ 9.86万
• 依托单位: Trustees of Boston University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2004
• 资助国家: 美国
• 起止时间: 2004-08-01 至 2005-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0404206&HistoricalAwards=false
• 关键词: NER; Stochastic; Resonance; Nanomechanical; Resonators

Stochastic resonance is a fundamental effect inherent to any dynamical system with three basic aspects: (a) a nonlinear, multistable behavior, (b) a weak coherent input modulation, and (c) a noise source either inherent to the system or being added to the system. In the current setup, a nanomechanical beam plays the role of the dynamical system, which can be driven nonlinearly to be in a bistable state with a large activation barrier. If the beam is driven from above (below) the resonance frequency in the frequency domain, it goes to the high (low) state. Once the beam is in one of the high or low states, it requires an enormous energy to jump over the potential barrier to go the other state. The addition of even a small amount of noise can give it a finite switching probability for crossing the barrier. For a moderate level of noise, the switching will acquire a degree of coherence with the underlying signal. If the noise is too large, it swamps the signal. In the intermediate range, there is a maximum in the switching probability, corresponding to a resonant behavior in the dynamics of the beam.or, stochastic resonance. In physical sciences alone, the proposed research could achieve an unimaginable breadth of impact with the potential discovery of novel engineering solutions in the area of MEMS and NEMS. The exploratory research activity phased over one year will enable the training of a graduate student in developing skills for cutting-edge engineering solutions. In particular, the program will allow a comprehensive training on high-frequency circuit modeling and analysis with the available software package, hardware design for signal stimulation and transduction in the RF range for an effective detection method, and characterization of equivalent circuit parameters. The graduate students are trained on fabrication of Nano-Electro-Mechanical Systems (NEMS) from a number of materials, including silicon. The undergraduate student will be involved in the simulation and modeling of the nanomechanical structures for the proposed exploratory research in order for an early exposure to the field of nanoscale engineering.

随机共振是任何动态系统固有的基本效应，具有三个基本方面：(a) 非线性、多稳态行为，(b) 弱相干输入调制，以及 (c) 系统固有的或添加到系统中的噪声源。 在当前的设置中，纳米力学梁扮演动力系统的角色，可以非线性驱动该系统处于具有大激活势垒的双稳态。如果梁是从频域中的谐振频率之上（之下）驱动的，则它会进入高（低）状态。一旦光束处于高态或低态之一，就需要巨大的能量来跳过势垒进入另一种状态。即使添加少量噪声也可以使其跨越障碍的切换概率有限。对于中等水平的噪声，切换将获得与基础信号一定程度的一致性。 如果噪声太大，就会淹没信号。在中间范围内，切换概率存在最大值，对应于梁动力学中的共振行为，或随机共振。 仅在物理科学领域，拟议的研究就可以通过在 MEMS 和 NEMS 领域潜在地发现新颖的工程解决方案来实现难以想象的广泛影响。分阶段为期一年的探索性研究活动将培训研究生开发尖端工程解决方案的技能。特别是，该计划将允许使用可用的软件包进行高频电路建模和分析、射频范围内信号刺激和转换的硬件设计（以实现有效的检测方法）以及等效电路参数的表征等方面的全面培训。研究生接受了使用包括硅在内的多种材料制造纳米机电系统（NEMS）的培训。本科生将参与拟议的探索性研究的纳米机械结构的模拟和建模，以便尽早接触纳米工程领域。