Introduction to Strong Alfvénic MHD Turbulence

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1. Verfasser: Cho, Jungyeon
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Veröffentlicht: 2026
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author Cho, Jungyeon
author_facet Cho, Jungyeon
contents Many astrophysical fluids are magnetized and turbulent. Such fluids can be often described by magnetohydrodynamics (MHD). In this review, we mainly consider MHD turbulence with a strong mean magnetic field whose energy density is greater than or equal to the local kinetic energy density. In these fluids, the MHD waves, especially Alfvén waves, play a dominant dynamical role. Alfvén waves travel along magnetic field lines and collisions of opposite-traveling Alfvén wave packets are essential for turbulence cascade. We focus on strong turbulence regime, where nonlinear interaction during the collision is sufficiently strong and thus one collision is enough to complete turbulence cascade. We will cover the following types of turbulence. First, we review strong Alfvénic MHD turbulence. If the mean magnetic field is very strong, wave packets move very fast and duration of collision is too short to complete turbulence cascade. Even in this case we will show that strong turbulence regime emerges on a small scale. Second, we will consider small-scale MHD turbulence, where interaction of small-scale variants of Alfvén waves (i.e., whistler waves) is important. Third, we review scaling relations in strong relativistic force-free MHD turbulence, where interaction of relativistic Alfvén waves is important. Finally, we briefly discuss scaling relations in compressible MHD turbulence, where interaction of Alfvén waves is still important.
format Preprint
id arxiv_https___arxiv_org_abs_2602_20472
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Introduction to Strong Alfvénic MHD Turbulence
Cho, Jungyeon
High Energy Astrophysical Phenomena
Plasma Physics
Many astrophysical fluids are magnetized and turbulent. Such fluids can be often described by magnetohydrodynamics (MHD). In this review, we mainly consider MHD turbulence with a strong mean magnetic field whose energy density is greater than or equal to the local kinetic energy density. In these fluids, the MHD waves, especially Alfvén waves, play a dominant dynamical role. Alfvén waves travel along magnetic field lines and collisions of opposite-traveling Alfvén wave packets are essential for turbulence cascade. We focus on strong turbulence regime, where nonlinear interaction during the collision is sufficiently strong and thus one collision is enough to complete turbulence cascade. We will cover the following types of turbulence. First, we review strong Alfvénic MHD turbulence. If the mean magnetic field is very strong, wave packets move very fast and duration of collision is too short to complete turbulence cascade. Even in this case we will show that strong turbulence regime emerges on a small scale. Second, we will consider small-scale MHD turbulence, where interaction of small-scale variants of Alfvén waves (i.e., whistler waves) is important. Third, we review scaling relations in strong relativistic force-free MHD turbulence, where interaction of relativistic Alfvén waves is important. Finally, we briefly discuss scaling relations in compressible MHD turbulence, where interaction of Alfvén waves is still important.
title Introduction to Strong Alfvénic MHD Turbulence
topic High Energy Astrophysical Phenomena
Plasma Physics
url https://arxiv.org/abs/2602.20472