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Mathematical Modelling of Rare Events in Nanoflows: A Feasibility Study

纳流中罕见事件的数学建模：可行性研究

基本信息

批准号：
EP/W031426/1
负责人：
James Sprittles
金额：
$ 10.08万
依托单位：
University of Warwick
依托单位国家：
英国
项目类别：
Research Grant
财政年份：
2023
资助国家：
英国
起止时间：
2023 至无数据
项目状态：
已结题

来源：
https://gtr.ukri.org/projects?ref=EP%2FW031426%2F1
关键词：
Mathematical Modelling Rare Events Nanoflows

项目摘要

The 21st century has heralded a revolution in the miniaturisation of fluid-based technologies that parallels those achieved in electronics in the 20th century, with technologies on microfluidics length scales now fully commercialised (e.g. 3D printers). Naturally, focus has now turned to exploiting the tremendous potential of flows at the nanoscale (i.e. nanofluidics), where huge surface area to volume ratios create systems that are driven by surface/interfacial effects, so that tiny volumes of fluid can be manipulated in ways that are unimaginable at the scales we observe in our daily lives. Our focus here is on the breakup of liquid volumes at the nanoscale, which are key to applications including nano-manufacturing (e.g. of thin-film solar cells), tear films and 'dry out' of the eye, bionic nano-devices for regenerative medicine and novel nano-particle drugs. Remarkably, at present, no scientific tools have been developed for these nanoflows as: - Experimental techniques can only provide limited information, as the dynamics occur too fast. - Theoretical approaches based on conventional fluid dynamics fail at the nanoscale, as thermal fluctuations ('noise' or 'Brownian motion') drive qualitatively new stochastic dynamics.This feasibility study will explore a new mathematical approach to overcome these challenges based on new methods for rare events that were originally developed for quantum mechanics. If successful, this will provide a platform for a much broader programme of intra-/inter-disciplinary research into the mathematical modelling of practically relevant nano-systems that could put the UK at the forefront of this high-tech emerging area.

世纪已经预示着一场基于流体的技术的革命，这场革命与20世纪世纪在电子学领域取得的成就相似，微流体长度尺度上的技术现在已经完全商业化（例如3D打印机）。自然，现在的重点已经转向利用纳米级流动的巨大潜力（即纳米流体），其中巨大的表面积与体积比创建由表面/界面效应驱动的系统，因此可以以我们在日常生活中观察到的尺度无法想象的方式操纵微小体积的流体。我们在这里的重点是在纳米尺度下液体体积的分解，这是包括纳米制造（例如薄膜太阳能电池），泪液膜和眼睛的“干燥”，再生医学和新型纳米颗粒药物的仿生纳米设备等应用的关键。值得注意的是，目前还没有为这些纳米流开发出科学工具：-实验技术只能提供有限的信息，因为动态发生得太快。 - 基于传统流体动力学的理论方法在纳米尺度上失败了，因为热波动（“噪声”或“布朗运动”）驱动了定性的新随机动力学。这项可行性研究将探索一种新的数学方法，以克服这些挑战，该方法基于最初为量子力学开发的罕见事件的新方法。如果成功的话，这将为更广泛的学科内/学科间研究提供一个平台，研究实际相关纳米系统的数学建模，这可能使英国处于这一高科技新兴领域的最前沿。