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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: | Feb. 15, 2022 |
| Date submitted: | Dec. 10, 2021, 9:05 p.m. |
| Submitted by: | Natalia Pinzani-Fokeeva |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| 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)
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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.