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Enstrophy from symmetry

Raja Marjieh, Natalia Pinzani-Fokeeva, Amos Yarom

SciPost Phys. 12, 085 (2022) · published 9 March 2022


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.

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