Ion Stochastic Heating by Low-frequency Alfvén Wave Spectrum

Fuente: arXiv
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Auteurs principaux: Peng, Jingyu, He, Jiansen
Format: Preprint
Publié: 2025
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author Peng, Jingyu
He, Jiansen
author_facet Peng, Jingyu
He, Jiansen
contents Finite-amplitude low-frequency Alfvén waves are commonly found in plasma environments, such as space plasmas, and play a crucial role in ion heating. The nonlinear interaction between oblique Alfvén wave spectra and ions has been studied. As the number of wave modes increases, ions are more likely to exhibit chaotic motion and experience stochastic heating. The stochastic heating threshold in the parameter space can be characterized by a single parameter, the effective relative curvature radius $P_{eff.}$. The results show excellent agreement with the chaotic regions identified through test particle simulations. The anisotropic characteristics of stochastic heating are explained using a uniform solid angle distribution model. The stochastic heating rate $Q=\dot{T}$ is calculated, and its relationship with wave conditions is expressed as $Q/(Ω_i m_i v_A^2) = H(α) \tilde{v}^3 \tilde{B}_w^2 \tildeω_1$, where $α$ is propagating angle, $Ω_i$ is the gyrofrequency, $m_i$ is the ion mass, $v_A$ is the Alfvén speed, $\tilde{v}$ is the dimensionless speed, $\tilde{B}_w$ is the dimensionless wave amplitude, and $\tildeω_1$ is the lowest dimensionless wave frequency.
format Preprint
id arxiv_https___arxiv_org_abs_2510_07875
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Ion Stochastic Heating by Low-frequency Alfvén Wave Spectrum
Peng, Jingyu
He, Jiansen
Plasma Physics
Space Physics
Finite-amplitude low-frequency Alfvén waves are commonly found in plasma environments, such as space plasmas, and play a crucial role in ion heating. The nonlinear interaction between oblique Alfvén wave spectra and ions has been studied. As the number of wave modes increases, ions are more likely to exhibit chaotic motion and experience stochastic heating. The stochastic heating threshold in the parameter space can be characterized by a single parameter, the effective relative curvature radius $P_{eff.}$. The results show excellent agreement with the chaotic regions identified through test particle simulations. The anisotropic characteristics of stochastic heating are explained using a uniform solid angle distribution model. The stochastic heating rate $Q=\dot{T}$ is calculated, and its relationship with wave conditions is expressed as $Q/(Ω_i m_i v_A^2) = H(α) \tilde{v}^3 \tilde{B}_w^2 \tildeω_1$, where $α$ is propagating angle, $Ω_i$ is the gyrofrequency, $m_i$ is the ion mass, $v_A$ is the Alfvén speed, $\tilde{v}$ is the dimensionless speed, $\tilde{B}_w$ is the dimensionless wave amplitude, and $\tildeω_1$ is the lowest dimensionless wave frequency.
title Ion Stochastic Heating by Low-frequency Alfvén Wave Spectrum
topic Plasma Physics
Space Physics
url https://arxiv.org/abs/2510.07875