Pendulums, Drops and Rods: a physical analogy
Soft Condensed Matter
2020-06-05 v1 Other Condensed Matter
Abstract
A liquid meniscus, a bending rod (also called elastica) and a simple pendulum are all described by the same non-dimensional equation. The oscillatory regime of the pendulum corresponds to buckling rods and pendant drops, and the high-velocity regime corresponds to spherical drops, puddles and multiple rod loopings. We study this analogy in a didactic way and discuss how, despite this common governing equation, the three systems are not completely equivalent. We also consider the cylindrical deformations of an inextensible, flexible membrane containing a liquid, which in some sense interpolates between the meniscus and rod conformations.
Cite
@article{arxiv.2006.02742,
title = {Pendulums, Drops and Rods: a physical analogy},
author = {Benoît Roman and Cyprien Gay and Christophe Clanet},
journal= {arXiv preprint arXiv:2006.02742},
year = {2020}
}