Alpha effect and dynamo in density-stratified turbulence with large-scale shear: applications to protoplanetary discs and astrophysical clouds

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Main Authors: Rogachevskii, Igor, Kleeorin, Nathan
Format: Preprint
Published: 2025
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author Rogachevskii, Igor
Kleeorin, Nathan
author_facet Rogachevskii, Igor
Kleeorin, Nathan
contents A joint effect of the density-stratified turbulence (or inhomogeneous turbulence) and a large-scale shear for arbitrary Mach numbers results in the $α$ effect and mean-field dynamo action. These effects also produce the effective pumping velocity of a large-scale magnetic field. Compressibility of the turbulent velocity field (i.e., finite Mach number effects) does not affect the contributions to the $α$ tensor caused by the joint effect of inhomogeneity of turbulence and a large-scale shear. The isotropic part of the $α$ tensor is independent of the exponent of the turbulent kinetic energy spectrum. There is also an additional contribution to the effective pumping velocity of the mean magnetic field that is proportional to the product of the fluid density gradient and the divergence of the mean fluid velocity caused, e.g., by collapsing (or expanding) astrophysical clouds. Applications of these effects to protoplanetary discs, proto-galactic and proto-stellar clouds are discussed.
format Preprint
id arxiv_https___arxiv_org_abs_2509_03248
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Alpha effect and dynamo in density-stratified turbulence with large-scale shear: applications to protoplanetary discs and astrophysical clouds
Rogachevskii, Igor
Kleeorin, Nathan
Astrophysics of Galaxies
Earth and Planetary Astrophysics
Solar and Stellar Astrophysics
A joint effect of the density-stratified turbulence (or inhomogeneous turbulence) and a large-scale shear for arbitrary Mach numbers results in the $α$ effect and mean-field dynamo action. These effects also produce the effective pumping velocity of a large-scale magnetic field. Compressibility of the turbulent velocity field (i.e., finite Mach number effects) does not affect the contributions to the $α$ tensor caused by the joint effect of inhomogeneity of turbulence and a large-scale shear. The isotropic part of the $α$ tensor is independent of the exponent of the turbulent kinetic energy spectrum. There is also an additional contribution to the effective pumping velocity of the mean magnetic field that is proportional to the product of the fluid density gradient and the divergence of the mean fluid velocity caused, e.g., by collapsing (or expanding) astrophysical clouds. Applications of these effects to protoplanetary discs, proto-galactic and proto-stellar clouds are discussed.
title Alpha effect and dynamo in density-stratified turbulence with large-scale shear: applications to protoplanetary discs and astrophysical clouds
topic Astrophysics of Galaxies
Earth and Planetary Astrophysics
Solar and Stellar Astrophysics
url https://arxiv.org/abs/2509.03248