Hidden symmetry in passive scalar advected by 2D Navier-Stokes turbulence

2025/04/15 by Chiara Calascibetta, Luca Biferale, Calascibetta, Chiara +7 · 1 citation
Engineering · Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.2504.11616

openalex publication_date 2025/04/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Hidden scale invariance in Navier-Stokes intermittency
• Scaling, renormalization and statistical conservation laws in the Kraichnan model of turbulent advection
• Active and passive fields face to face
• Calculation of the anomalous exponents in the rapid-change model of passive scalar advection to order ε³
• Particles and fields in fluid turbulence
• Fronts in passive scalar turbulence
• Statistical geometry in scalar turbulence
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• Anomalous scaling regimes of a passive scalar advected by the synthetic velocity field
• Multiscale velocity correlations in turbulence
• Analytic calculation of anomalous scaling in random shell models for a passive scalar
• Anomalous scaling in random shell models for passive scalars
• Symmetry and Scaling of Turbulent Mixing
• Anomalous Scaling Exponents of a White-Advected Passive Scalar
• ANOMALOUS SCALING OF THE PASSIVE SCALAR
• Scalar turbulence

Cited by

• TURB-Scalar. A large database of passive scalar fields advected by 2D Navier-Stokes in the turbulent inverse cascade regime

Related

• From zero-mode intermittency to hidden symmetry in random scalar advection
• No new scaling laws of passive scalar with a constant mean gradient in decaying isotropic turbulence
• Statistical mechanics of d-dimensional flows and cylindrically reduced passive scalars
• Regularity thresholds for anomalous dissipation and related phenomena in passive scalars
• Scaling Laws in Turbulence