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Enstrophy from symmetry

by Raja Marjieh, Natalia Pinzani-Fokeeva, Amos Yarom

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Submission summary

Authors (as registered SciPost users): Natalia Pinzani-Fokeeva · Amos Yarom
Submission information
Preprint Link: scipost_202103_00011v2  (pdf)
Date accepted: 2022-02-15
Date submitted: 2021-12-10 21:05
Submitted by: Pinzani-Fokeeva, Natalia
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
Specialties:
  • Condensed Matter Physics - Theory
  • Fluid Dynamics
  • High-Energy Physics - Theory
Approach: Theoretical

Abstract

We study symmetry principles associated with the approximately conserved enstrophy current, responsible for the inverse energy cascade in non relativistic 2+1 dimensional turbulence. We do so by identifying the accidental symmetry associated with enstrophy current conservation in a recently realized effective action principle for hydrodynamics. Our analysis deals with both relativistic and non relativistic effective actions and their associated symmetries.

List of changes

- We added a few sentences at the end of the 4th paragraph on Page 2 to address the comments of referee 3
- Typo corrected on page 5: g=s/rho -> g=rho/s
- Eqs 58 and 59 were added to address the comments of referee 3
- The last paragraph at the end of the discussion on page 17 expanded to address the comments of referee 3
- Inline equation above 25a corrected: n->m to label multiple charges. Indeed, Omega will depend on multiple chemical potentials and the constraints arising from Omega_mnu^n=0 will be modified. However, so long as Omega_mnu^n=0 is satisfied, an enstrophy current exists in this case too. This change addresses the comments of referee 1.

Published as SciPost Phys. 12, 085 (2022)


Reports on this Submission

Anonymous Report 3 on 2022-2-13 (Invited Report)

Report

I thank the authors for clarifying the significance of their paper. I reserve my opinion about the substance and impact of the work but, since I have no technical disagreement with the authors, I am happy to leave the decision of publication with the editor.

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Anonymous Report 2 on 2021-12-26 (Invited Report)

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I am satisfied that the authors have addressed my concerns and I am happy to recommend publication in SciPost.

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Anonymous Report 1 on 2021-12-13 (Invited Report)

Report

I am happy with the changes that the authors have made. I think this paper meets the criteria of the journal and I thus recommend the paper for publication.

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