发表机构
Loughborough University（拉夫堡大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究软物质动力学，在低雷诺数等温时，以往基于忽略惯性的昂萨格变分原理获取运动方程，现扩展该变分框架，使其在阻尼与惯性同样重要时仍有效。
AI 中文摘要
当粘性占主导时，液体和软物质的运动是过阻尼且‘缓慢’的。在这个（低雷诺数）极限且系统等温时，运动方程可通过忽略惯性的昂萨格变分原理生成。此变分方法非常强大，用于获取胶体流体、表面液滴等的运动方程。然而，惯性也会起作用，表现为振动和欠阻尼运动。本文展示了如何扩展这个变分框架，使其在阻尼/耗散和惯性同样重要时仍然有效。
英文摘要
The motion of liquids and soft matter is over-damped and `slow' when viscosity dominates. In this (low Reynolds-number) limit and when the system is isothermal, the equations of motion may be generated via Onsager's variational principle, which neglects inertia. This variational approach is immensely powerful, being used to obtain equations of motion for colloidal fluids, droplets on surfaces and much more. However, inertia can play a role, manifesting as vibrations and under-damped motion. Here we show how to extend this variational framework so that it remains valid for when damping/dissipation and inertia are both equally important.
Comments6 pages
Journal refJ. Chem. Phys. 165, 131101 (2026)
