Enstrophy from symmetry

Marjieh, Raja; Pinzani-Fokeeva, Natalia; Yarom, Amos

doi:10.21468/SciPostPhys.12.3.085

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Enstrophy from symmetry

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Marjieh, Raja
Research Group Computational Auditory Perception, Max Planck Institute for Empirical Aesthetics, Max Planck Society;

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Marjieh, R., Pinzani-Fokeeva, N., & Yarom, A. (2022). Enstrophy from symmetry. SciPost Physics, 12(085), 1-24. doi:10.21468/SciPostPhys.12.3.085.

Cite as: https://hdl.handle.net/21.11116/0000-000A-2123-9

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.