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Suppression of the superfluid Kelvin-Helmholtz instability due to massive vortex cores, friction and confinement

by Matteo Caldara, Andrea Richaud, Massimo Capone, Pietro Massignan

This Submission thread is now published as

Submission summary

Authors (as registered SciPost users): Pietro Massignan · Andrea Richaud
Submission information
Preprint Link: scipost_202403_00026v2  (pdf)
Date accepted: 2024-08-15
Date submitted: 2024-08-02 11:45
Submitted by: Richaud, Andrea
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
Specialties:
  • Atomic, Molecular and Optical Physics - Theory
  • Condensed Matter Physics - Theory
  • Fluid Dynamics
Approach: Theoretical

Abstract

We characterize the dynamical instability responsible for the breakdown of regular rows and necklaces of quantized vortices that appear at the interface between two superfluids in relative motion. Making use of a generalized point-vortex model, we identify several mechanisms leading to the suppression of this instability. They include a non-zero mass of the vortex cores, dissipative processes resulting from the interaction between the vortices and the excitations of the superfluid, and the proximity of the vortex array to the sample boundaries. We show that massive vortex cores not only have a mitigating effect on the dynamical instability, but also change the associated scaling law and affect the direction along which it develops. The predictions of our massive and dissipative point-vortex model are eventually compared against recent experimental measurements of the maximum instability growth rate relevant to vortex necklaces in a cold-atom platform.

Author indications on fulfilling journal expectations

  • Provide a novel and synergetic link between different research areas.
  • Open a new pathway in an existing or a new research direction, with clear potential for multi-pronged follow-up work
  • Detail a groundbreaking theoretical/experimental/computational discovery
  • Present a breakthrough on a previously-identified and long-standing research stumbling block

Author comments upon resubmission

Dear Editor,

thank you very much for sending us the reports of the two Referees. We are grateful to the Referees for their careful, positive and constructive reports that helped us improving our manuscript. We have revised the manuscript complying with the requests of both Referees, and we have replaced the arXiv manuscript with the revised one. Our detailed point-by-point response to the Referees has been uploaded.

In view of the already positive reports of both Referees and of the improvements that we have implemented in response to their comments, we are confident that this revised version of our paper can be accepted for publication in SciPost Physics.

Best regards,

The authors

List of changes

A detailed list of changes has been attached as a pdf file in the response to the Referees.

Published as SciPost Phys. 17, 076 (2024)


Reports on this Submission

Report #2 by Anonymous (Referee 1) on 2024-8-9 (Invited Report)

Report

The authors have carefully considered all feedback provided by both previous referees and I wish to recommend the manuscript to be published in SciPost in its present form.

Recommendation

Publish (easily meets expectations and criteria for this Journal; among top 50%)

  • validity: -
  • significance: -
  • originality: -
  • clarity: -
  • formatting: -
  • grammar: -

Report #1 by Anonymous (Referee 2) on 2024-8-3 (Invited Report)

Report

The authors have adequately addressed all the concerns raised in my report and have revised the manuscript accordingly. Therefore, I recommend its publication.

As a final minor suggestion, I would replace the word "only" with "mainly" in the new sentence at page 19:
"However, assuming that the breakdown of the necklace is only due to the Kelvin-Helmholtz mechanism...."

Recommendation

Publish (easily meets expectations and criteria for this Journal; among top 50%)

  • validity: -
  • significance: -
  • originality: -
  • clarity: -
  • formatting: -
  • grammar: -

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