Hydrodynamic spin states
Name
Chaos2018.pdf
Description
Published version
Size
609.75 KB
Format
Adobe PDF
Checksum (MD5)
a9e08a1fdcc145601d01a0f312652965
Author(s)
Ova, Anand U.
Rosales, Rodolfo
Bush, John W. M.
Date Issued
September 2018
Journal
Chaos
Publisher
AIP Publishing
Citation
Ova, Anand U. et al. "Hydrodynamic spin states." Chaos 28, 9 (September 2018): 096106 © 2018 Author(s)
Version
Final published version
Abstract
We present the results of a theoretical investigation of hydrodynamic spin states, wherein a droplet walking on a vertically vibrating fluid bath executes orbital motion despite the absence of an applied external field. In this regime, the walker's self-generated wave force is sufficiently strong to confine the walker to a circular orbit. We use an integro-differential trajectory equation for the droplet's horizontal motion to specify the parameter regimes for which the innermost spin state can be stabilized. Stable spin states are shown to exhibit an analog of the Zeeman effect from quantum mechanics when they are placed in a rotating frame.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1063/1.5034134
