Quasi-linear theory of perpendicular ion heating by critically balanced turbulence

Fuente: arXiv
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Autores principales: Johnston, Zade, Squire, Jonathan
Formato: Preprint
Publicado: 2025
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author Johnston, Zade
Squire, Jonathan
author_facet Johnston, Zade
Squire, Jonathan
contents In collisionless astrophysical plasmas, turbulence mediates the partitioning of free energy among cascade channels and its dissipation into ion and electron heat. The resulting ion heating is often anisotropic, with ions observed to be preferentially heated perpendicular to the local magnetic field; understanding the mechanisms responsible for this heating is a key step in understanding the evolution of such plasmas. In this paper, we use the framework of quasi-linear theory to compute analytically the heating rates of ions interacting with turbulent, large-scale Alfvénic fluctuations. We show how the imbalance of the turbulence (the difference in energies between Alfvénic fluctuations travelling parallel and antiparallel to the magnetic field) modifies the spatiotemporal spectrum of these fluctuations, allowing the heating mechanism to transition between two commonly-studied mechanisms: stochastic heating in balanced turbulence to resonant-cyclotron heating in imbalanced turbulence. The resultant heating rate is found to have a general form regardless of the level of imbalance, exhibiting a suppression related to the conservation of the ions' magnetic moment at small turbulent amplitudes and recovering previous empirical results in a formal calculation. The results of this work help to consolidate our qualitative understanding of ion heating within astrophysical plasmas, as well as yielding specific quantitative predictions to analyse simulations and observations.
format Preprint
id arxiv_https___arxiv_org_abs_2512_03472
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Quasi-linear theory of perpendicular ion heating by critically balanced turbulence
Johnston, Zade
Squire, Jonathan
Solar and Stellar Astrophysics
High Energy Astrophysical Phenomena
Plasma Physics
Space Physics
In collisionless astrophysical plasmas, turbulence mediates the partitioning of free energy among cascade channels and its dissipation into ion and electron heat. The resulting ion heating is often anisotropic, with ions observed to be preferentially heated perpendicular to the local magnetic field; understanding the mechanisms responsible for this heating is a key step in understanding the evolution of such plasmas. In this paper, we use the framework of quasi-linear theory to compute analytically the heating rates of ions interacting with turbulent, large-scale Alfvénic fluctuations. We show how the imbalance of the turbulence (the difference in energies between Alfvénic fluctuations travelling parallel and antiparallel to the magnetic field) modifies the spatiotemporal spectrum of these fluctuations, allowing the heating mechanism to transition between two commonly-studied mechanisms: stochastic heating in balanced turbulence to resonant-cyclotron heating in imbalanced turbulence. The resultant heating rate is found to have a general form regardless of the level of imbalance, exhibiting a suppression related to the conservation of the ions' magnetic moment at small turbulent amplitudes and recovering previous empirical results in a formal calculation. The results of this work help to consolidate our qualitative understanding of ion heating within astrophysical plasmas, as well as yielding specific quantitative predictions to analyse simulations and observations.
title Quasi-linear theory of perpendicular ion heating by critically balanced turbulence
topic Solar and Stellar Astrophysics
High Energy Astrophysical Phenomena
Plasma Physics
Space Physics
url https://arxiv.org/abs/2512.03472