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

Chiara Calascibetta1,*, Luca Biferale2,3, Fabio Bonaccorso2,3, Massimo Cencini4,3, and Alexei A. Mailybaev5

  • *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.

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Phys. Rev. Fluids 10, 084605– Published 26 August, 2025
  • Received 16 April 2025
  • Accepted 9 July 2025
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