Turbulent transport in a non-Markovian velocity field Article Swipe

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YOU? · · 2025 · Open Access · · DOI: https://doi.org/10.48550/arxiv.2502.02946

The commonly used quasilinear approximation allows one to calculate the turbulent transport coefficients for the mean of a passive scalar or a magnetic field in a given velocity field. Formally, the quasilinear approximation is exact when the correlation time of the velocity field is zero. We calculate the lowest-order corrections to the transport coefficients due to the correlation time being nonzero. For this, we use the Furutsu-Novikov theorem, which allows one to express the turbulent transport coefficients in a Gaussian random velocity field as a series in the correlation time. We find that the turbulent diffusivities of both the mean passive scalar and the mean magnetic field are suppressed. Nevertheless, contradicting a previous study, we show that the turbulent diffusivity of the mean magnetic field is smaller than that of the mean passive scalar. We also find corrections to the $α$ effect.

Related Topics

Turbulence

Physics

Environmental Science

Mathematics

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Turbulence Mechanics Physics Field (mathematics) Statistical physics Environmental science Mathematics Pure mathematics

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Type: preprint
Language: en
Landing Page: http://arxiv.org/abs/2502.02946
PDF: https://arxiv.org/pdf/2502.02946
OA Status: green
Related Works: 10
OpenAlex ID: https://openalex.org/W4407212704

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DOI: https://doi.org/10.48550/arxiv.2502.02946

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Title: Turbulent transport in a non-Markovian velocity field

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Type: preprint

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Language: en

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Publication year: 2025

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Publication date: 2025-02-05

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Authors: G. Kishore, Nishant Kumar Singh

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Landing page: https://arxiv.org/abs/2502.02946

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PDF URL: https://arxiv.org/pdf/2502.02946

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Concepts: Turbulence, Mechanics, Physics, Field (mathematics), Statistical physics, Environmental science, Mathematics, Pure mathematics

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Cited by: 0

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