Sliding dynamics of a particle in a soap film

Fuente: arXiv
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Autori principali: Louyer, Youna, Dollet, Benjamin, Cantat, Isabelle, Gauthier, Anaïs
Natura: Preprint
Pubblicazione: 2025
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author Louyer, Youna
Dollet, Benjamin
Cantat, Isabelle
Gauthier, Anaïs
author_facet Louyer, Youna
Dollet, Benjamin
Cantat, Isabelle
Gauthier, Anaïs
contents We investigate the sliding dynamics of a millimeter-sized particle trapped in a horizontal soap film. Once released, the particle moves toward the center of the film in damped oscillations. We study experimentally and model the forces acting on the particle, and evidence the key role of the mass of the film on its shape and particle dynamics. Not only is the gravitational distortion of the film measurable, it completely determines the force responsible for the motion of the particle - the catenoid-like deformation induced by the particle has negligible effect on the dynamics. Surprisingly, this is expected for all film sizes as long as the particle radius remains much smaller than the film width. We also measure the friction force, and show that ambient air and the film contribute almost equally to the friction. The theoretical model that we propose predicts exactly the friction coefficient as long as inertial effects can be neglected in air (for the smallest and slowest particles). The fit between theory and experiments sets an upper boundary of 0.01 μPa s m for the surface viscosity, in excellent agreement with recent interfacial microrheology measurements.
format Preprint
id arxiv_https___arxiv_org_abs_2502_09179
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Sliding dynamics of a particle in a soap film
Louyer, Youna
Dollet, Benjamin
Cantat, Isabelle
Gauthier, Anaïs
Soft Condensed Matter
Fluid Dynamics
We investigate the sliding dynamics of a millimeter-sized particle trapped in a horizontal soap film. Once released, the particle moves toward the center of the film in damped oscillations. We study experimentally and model the forces acting on the particle, and evidence the key role of the mass of the film on its shape and particle dynamics. Not only is the gravitational distortion of the film measurable, it completely determines the force responsible for the motion of the particle - the catenoid-like deformation induced by the particle has negligible effect on the dynamics. Surprisingly, this is expected for all film sizes as long as the particle radius remains much smaller than the film width. We also measure the friction force, and show that ambient air and the film contribute almost equally to the friction. The theoretical model that we propose predicts exactly the friction coefficient as long as inertial effects can be neglected in air (for the smallest and slowest particles). The fit between theory and experiments sets an upper boundary of 0.01 μPa s m for the surface viscosity, in excellent agreement with recent interfacial microrheology measurements.
title Sliding dynamics of a particle in a soap film
topic Soft Condensed Matter
Fluid Dynamics
url https://arxiv.org/abs/2502.09179