Articles | Volume 32, issue 3
https://doi.org/10.5194/npg-32-243-2025
https://doi.org/10.5194/npg-32-243-2025
Research article
 | 
23 Jul 2025
Research article |  | 23 Jul 2025

Intermittency in fluid and magnetohydrodynamics (MHD) turbulence analyzed through the prism of moment scaling predictions of multifractal models

Annick Pouquet, Raffaele Marino, Hélène Politano, Yannick Ponty, and Duane Rosenberg

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Subject: Scaling, multifractals, turbulence, complex systems, self-organized criticality | Topic: Ionosphere, magnetosphere, planetary science, solar science | Techniques: Theory
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Cited articles

Adhikari, L., Zank, G., and Zhao, L.: The Transport and Evolution of MHD Turbulence throughout the Heliosphere: Models and Observations, Fluids, 6, 368, https://doi.org/10.3390/fluids6100368, 2021. a
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Arnold, V.: Proof of a theorem of A.N. Kolmogorov on the invariance of quasi-periodic motions under small perturbations of the Hamiltonian, Rus. Math. Surv+, 18, 9–36, https://doi.org/10.1070/RM1963v018n05ABEH004130, 1963. a
Arnold, V. and Khesin, B.: Topological Methods in Hydrodynamics, Second Edition, Springer-Verlag, New York, ISBN 978-3-030-74277-5, 2021. a
Bak, P., Tang, C., and Wiesenfeld, K.: Self-organized criticality: An explanation of the 1/f noise, Phys. Rev. Lett., 59, 381–384, https://doi.org/10.1103/PhysRevLett.59.381, 1987. a, b
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Short summary
Turbulence is found in many natural systems. We study its statistics in terms of scaling laws of up to fourth-order normalized moments for the velocity or magnetic fields through their relative behavior. We show analytically using existing intermittency models that the physical dimension of structures becomes irrelevant. The strongest intermittent structure has a parabolic scaling as found previously and confirmed by long simulations. More analysis will be performed using simplified models. 
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