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.

技术在纳米级继续取得长足的进步，从而带来了前所未有的能力。 当前，热波动尚未驱动纳米系统在其线性状态之外，在线性动力学良好的情况下。 但是，随着机械系统的下一代技术的规模较小，由于热波动变得足以将机械系统驱动到非线性状态，因此它们的性能受到了组成设备和周围介质的随机热运动的限制。 这项工作的重点是在这种非线性方面发展对纳米机械系统波动的理解。 将采用三维纳米打印来创建旨在仅由温度驱动时研究非线性行为的结构。 对非线性行为的理论理解将通过利用波动与系统中存在的耗散之间的基本关系来创造。 我们的发现将提供必要的见解，以实现下一代纳米技术，在这种纳米技术中，预计绩效将远远超出当前的最新技术。纳米级系统的随机动力学是许多重要现象的核心。 当前，当机械系统保持线性状态时，人们对随机动力学有很好的了解。 但是，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纳法制作和测量方法，再利用分析和数值方法来描述和预测这些动态。 直接的激光写入系统将用于制造用于仅由温度驱动的高度非线性随机动力学定制的结构。 通过杂尼干涉仪的测量结果，将对由软聚合物材料构建的结构的非线性随机动力学进行实验研究。 对系统动力学的物理理解将使用强大的波动散落定理构建。 动力学将被扰动地探测，并使用分解方法来创建确定性方法来描述强烈非线性系统的动力学。 在了解单个振荡模式的非线性波动后，将研究复杂结构的不同振荡模式之间的耦合。该奖项反映了NSF的法定任务，并被认为是值得通过基金会的知识分子和更广泛影响的审查标准来通过评估来通过评估来支持的。

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.