Hidden symmetry in passive scalar advected by two-dimensional Navier-Stokes turbulence

Chiara Calascibetta; Luca Biferale; Fabio Bonaccorso; Massimo Cencini; Alexei A. Mailybaev

doi:10.1103/hfqj-py5v

Hidden symmetry in passive scalar advected by two-dimensional Navier-Stokes turbulence

Chiara Calascibetta ^1,*, Luca Biferale ^2,3, Fabio Bonaccorso ^2,3, Massimo Cencini ^4,3, and Alexei A. Mailybaev ⁵

¹Université Côte d'Azur, Inria, Calisto team, 06902 Sophia Antipolis, France
²Department of Physics, University of Rome “Tor Vergata”, Via della Ricerca Scientifica 1, 00133 Rome, Italy
³INFN, Sezione di Roma “Tor Vergata”, Rome, Italy
⁴Istituto dei Sistemi Complessi, CNR, Via dei Taurini 19, 00185 Rome, Italy
⁵Instituto de Matemática Pura e Aplicada– IMPA, Rio de Janeiro, Brazil

^*Contact author: chiara.calascibetta@inria.fr

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Phys. Rev. Fluids 10, 084605 – Published 26 August, 2025

DOI: https://doi.org/10.1103/hfqj-py5v

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.

Physical Review Fluids

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Hidden symmetry in passive scalar advected by two-dimensional Navier-Stokes turbulence

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Hidden symmetry in passive scalar advected by two-dimensional Navier-Stokes turbulence

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