Hidden symmetry in passive scalar advected by 2D Navier-Stokes turbulence
Published: Apr 15, 2025
Last Updated: Apr 15, 2025
Authors:Chiara Calascibetta, Luca Biferale, Fabio Bonaccorso, Massimo Cencini, Alexei A. Mailybaev
Abstract
Here we show that passive scalars possess a hidden scaling symmetry when considering suitably rescaled fields. Such a symmetry implies (i) universal probability distribution for scalar multipliers and (ii) Perron-Frobenius scenario for the anomalous scaling of structure functions. We verify these predictions with high resolution simulations of a passive scalar advected by a 2D turbulent flow in inverse cascade.