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Enstrophy without boost symmetry

by Natalia Pinzani-Fokeeva, Amos Yarom

This Submission thread is now published as SciPost Phys. 12, 136 (2022)

Submission summary

As Contributors: Natalia Pinzani-Fokeeva
Arxiv 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
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.

Published as SciPost Phys. 12, 136 (2022)



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