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Enstrophy without boost symmetry
by Natalia Pinzani-Fokeeva, Amos Yarom
This Submission thread is now published as
Submission summary
| Submission information |
| Preprint Link: |
https://arxiv.org/abs/2103.06840v2
(pdf)
|
| Date accepted: |
2022-04-01 |
| Date submitted: |
2022-03-22 09:17 |
| 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
- Statistical and Soft Matter Physics
|
| Approach: |
Theoretical |
Abstract
We construct an approximately conserved current for $2+1$ dimensional, Aristotelian (non boost invariant), fluid flow. When Aristotelian symmetry is enhanced to Galilean symmetry, this current matches the enstrophy current responsible for the inverse cascade in incompressible fluids. Other enhancements of Aristotelian symmetry discussed in this work include Lorentzian, Carrollian and Lifshitz scale symmetry.
