Collaborative Research: The Nonlinear Stochastic Dynamics of Micro and Nanomechanical Systems

合作研究：微纳机械系统的非线性随机动力学

• 批准号: 2001559
• 负责人: Mark Paul
• 金额: $ 32.18万
• 依托单位: Virginia Polytechnic Institute and State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2020
• 资助国家: 美国
• 起止时间: 2020-06-15 至 2024-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2001559&HistoricalAwards=false
• 关键词: Collaborative; Research; Nonlinear; Stochastic; Dynamics

Technology continues to make great strides at the nanoscale, resulting in unprecedented capabilities. Currently, thermal fluctuations have not driven nano systems outside their linear regime where their dynamics are well understood. However, as mechanical systems are made smaller for next-generation technologies, their performance is becoming limited by the random thermal movements of the molecules that make up the device and surrounding medium as the thermal fluctuations are becoming sufficient to drive the mechanical system into a nonlinear regime. Developing an understanding of the fluctuations of nano mechanical systems in this nonlinear regime is the focus of this work. Three-dimensional nanoprinting will be employed to create structures designed to study nonlinear behavior when driven by the temperature alone. A theoretical understanding of the nonlinear behavior will be created by utilizing the fundamental relationship between the fluctuations and the dissipation present in the system. Our findings will provide the insights necessary to realize the next generation of nanotechnology where performance is anticipated to be well beyond the current state-of-the art.The stochastic dynamics of nanoscale systems are at the heart of many important phenomena. Currently, there is a good understanding of stochastic dynamics when a mechanical system remains in the linear regime. However, many important challenges remain in understanding nonlinear fluctuations of nanomechanical systems. In order to build this understanding, state-of-the-art nanofabrication and measurement approaches, coupled with the development of analytical and numerical methods to describe and predict these dynamics, will be utilized. A direct laser write system will be used to fabricate structures tailored to exhibit highly nonlinear stochastic dynamics when driven by temperature alone. The nonlinear stochastic dynamics of structures constructed from soft polymeric materials will be experimentally studied using measurements from a heterodyne interferometer. A physical understanding of the system dynamics will be built using the powerful fluctuation-dissipation theorem. The dynamics will be probed perturbatively and a factorization approach will be used to create a deterministic approach to describe the dynamics of strongly nonlinear systems. After developing an understanding of the nonlinear fluctuations of a single mode of oscillation, the coupling between the different modes of oscillation of a complex structure will be investigated.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

技术在纳米尺度上不断取得长足进步，带来了前所未有的能力。 目前，热波动尚未使纳米系统脱离其动态范围，而其动力学已被很好地理解。 然而，随着下一代技术的机械系统变得越来越小，其性能正变得受到构成设备和周围介质的分子的随机热运动的限制，因为热波动足以驱动机械系统进入非线性状态。政权。 这项工作的重点是了解这种非线性状态下纳米机械系统的波动。 三维纳米打印将用于创建旨在研究仅由温度驱动时的非线性行为的结构。 通过利用系统中存在的波动和耗散之间的基本关系，可以从理论上理解非线性行为。 我们的研究结果将为实现下一代纳米技术提供必要的见解，其性能预计将远远超出当前最先进的水平。纳米级系统的随机动力学是许多重要现象的核心。 目前，人们对机械系统保持线性状态时的随机动力学有了很好的理解。 然而，在理解纳米力学系统的非线性波动方面仍然存在许多重要的挑战。 为了建立这种理解，将利用最先进的纳米制造和测量方法，再加上分析和数值方法的开发来描述和预测这些动态。 直接激光写入系统将用于制造在仅由温度驱动时表现出高度非线性随机动力学的结构。 将使用外差干涉仪的测量结果对由软聚合物材料构成的结构的非线性随机动力学进行实验研究。 将使用强大的波动耗散定理建立对系统动力学的物理理解。 将对动力学进行扰动探测，并使用分解方法来创建确定性方法来描述强非线性系统的动力学。 在了解单一振动模式的非线性涨落之后，将研究复杂结构的不同振动模式之间的耦合。该奖项反映了 NSF 的法定使命，并通过使用基金会的智力评估进行评估，认为值得支持。优点和更广泛的影响审查标准。

项目成果

Nanomechanical Measurement of the Brownian Force Noise in a Viscous Liquid

• DOI: 10.1021/acs.nanolett.0c03766
• 发表时间: 2021-01-13
• 期刊: NANO LETTERS
• 影响因子: 10.8
• 作者: Ari, Atakan B.;Hanay, M. Selim;Ekinci, Kamil L.
• 通讯作者: Ekinci, Kamil L.

The dynamics of an externally driven nanoscale beam that is under high tension and immersed in a viscous fluid

外部驱动的纳米级梁在高张力下浸入粘性流体中的动力学

• DOI: 10.1063/5.0100462
• 发表时间: 2022
• 期刊: Journal of Applied Physics
• 影响因子: 3.2
• 作者: Barbish, J.;Ti, C.;Ekinci, K. L.;Paul, M. R.
• 通讯作者: Paul, M. R.