Wave-vortex interactions, remote recoil, the
Aharonov-Bohm effect and the Craik-Leibovich equation
Michael Edgeworth McIntyre
This paper studies three of the simplest possible examples
of wave-vortex interaction and the surprising things that can happen
-- surprising, at least, from some perspectives.
The first two examples are in inertial reference frames and the
third is in a rapidly-rotating frame, with geophysical contexts in mind.
Wave-vortex interactions are fundamental
both in geophysical fluid dynamics and in quantum superfluid dynamics.
Attention is focused on the remote-recoil effects
that are generic in problems of this kind,
and in almost all cases act in addition to, or in place of,
the Stokes-drift-mediated Craik-Leibovich force on
a classical vortex,
corresponding to the phonon-current-mediated
Iordanskii force on a quantum vortex.
It is sometimes assumed in the quantum literature that
remote recoil is always negligible, i.e. that
the Iordanskii force is the only recoil force.
In the problems studied this is shown
to be correct only in an
extremely special and restricted set of circumstances.
It happens that these are the same special circumstances in which
the Aharonov-Bohm effect is the only relevant wave-refraction property.
Remote recoil is also, contrary to an impression one might get from
the geophysical/oceanographic literature,
able to survive rapid rotation despite the phenomenon known as
the `anti-Stokes flow'.
Here's the current preprint, submitted to the Journal of Fluid Mechanics
on 19 Nov 2019
after extensive revision in the light of the referees' and
other colleagues' comments, plus a few more
corrections and clarifications.
my home page
Atmospheric Dynamics home page
Michael Edgeworth McIntyre (mem at damtp.cam.ac.uk),
University of Cambridge,
Silver Street, Cambridge CB3 9EW
This page first posted 14 May 2018; last updated
3 March 2018