论文标题
微型固定模型的系统参数化
Systematic parameterisations of minimal models of microswimming
论文作者
论文摘要
简单的模型在整个物理科学中都被用作发展直觉，捕获现象学和质量再现观测的一种手段。在对微观的研究中，简单的力 - 偶极模型是司空见惯的，通常是对一系列复杂的生物学和人工游泳者的领先，远场描述。尽管这些游泳者中有许多与复杂的，时间变化的流场和变化形状有关，但我们经常转向具有恒定，平均参数的模型，以进行直觉，基本理解和后面的预测。在这项简短的研究中，通过基本的多时间尺度分析，我们检查了在最小的微型威格默模型中对先验平均参数的标准使用是否合理，询问它们的行为预测是否与通过简单扩展结合了快速时间变化的模型的行为预测是否合理。在此过程中，我们强调并举例说明了这些非自主模型的直接渐近分析如何导致微观微调模型的有效，系统的参数化。
Simple models are used throughout the physical sciences as a means of developing intuition, capturing phenomenology, and qualitatively reproducing observations. In studies of microswimming, simple force-dipole models are commonplace, arising generically as the leading-order, far-field descriptions of a range of complex biological and artificial swimmers. Though many of these swimmers are associated with intricate, time varying flow fields and changing shapes, we often turn to models with constant, averaged parameters for intuition, basic understanding, and back-of-the-envelope prediction. In this brief study, via an elementary multi-timescale analysis, we examine whether the standard use of a priori-averaged parameters in minimal microswimmer models is justified, asking if their behavioural predictions qualitatively align with those of models that incorporate rapid temporal variation through simple extensions. In doing so, we highlight and exemplify how a straightforward asymptotic analysis of these non-autonomous models can result in effective, systematic parameterisations of minimal models of microswimming.
