Radial evolution of Alfvén wave Parametric Decay Instability in the near-Sun solar wind: Effects of Temperature Anisotropy

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Main Authors: Saguchi, Hayato, Kawazura, Yohei, Shoda, Munehito, Katoh, Yuto
Format: Preprint
Published: 2026
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author Saguchi, Hayato
Kawazura, Yohei
Shoda, Munehito
Katoh, Yuto
author_facet Saguchi, Hayato
Kawazura, Yohei
Shoda, Munehito
Katoh, Yuto
contents Parametric decay instability (PDI) of Alfvén wave is thought to play an important role in the dissipation of the large-amplitude Alfvén waves and in the heating of magnetized plasmas. Temperature anisotropy is frequently observed by spacecraft, including Parker Solar Probe (PSP), in the near-Sun solar wind, yet its impact on PDI in the near-Sun solar wind has been understudied. We calculate the maximum growth rates of PDI, $γ_{\max}/ω_{0}$, where $ω_0$ is the frequency of the parent wave, by solving the linear dispersion relation of Chew-Goldberger-Low (CGL) equations under several expanding background models. To assess the effect of temperature anisotropy, the growth rate is compared with that derived from ideal magnetohydrodynamics (MHD). From $R_0$ ($ = 1.02R_\odot$) to $30R_0$, we consider three expansion cases: (i) spherically symmetric adiabatic expansion with constant wind speed, (ii) Multi-source observation- and model-constrained expansion, and (iii) a PSP-constrained profile of $(β_{\parallel},ξ)$, where $β_\parallel=8πp_{\parallel0}/B_0^2$ is the parallel plasma beta and $ξ=T_{\perp0} / T_{\parallel0}$ is the temperature anisotropy, that includes Parker-spiral effects. We find that temperature anisotropy increases $γ_{\max}/ω_{0}$ for $β\lesssim 0.1$ in the near-Sun solar wind: in the case of (iii), temperature anisotropy with $T_{\perp0} > T_{\parallel0}$ increases $γ_{\max}/ω_{0}$ by factors of $\sim 1.5$ over $R\simeq 1$--$10\,R_0$, whereas temperature anisotropy with $T_{\parallel0}>T_{\perp0}$ decreases $γ_{\max}/ω_{0}$ at larger $R$. Our results suggest that the temperature anisotropy plays an important role in the onset of PDI even in low-$β$ regimes, such as the near-Sun solar wind.
format Preprint
id arxiv_https___arxiv_org_abs_2604_22489
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Radial evolution of Alfvén wave Parametric Decay Instability in the near-Sun solar wind: Effects of Temperature Anisotropy
Saguchi, Hayato
Kawazura, Yohei
Shoda, Munehito
Katoh, Yuto
Solar and Stellar Astrophysics
Space Physics
Parametric decay instability (PDI) of Alfvén wave is thought to play an important role in the dissipation of the large-amplitude Alfvén waves and in the heating of magnetized plasmas. Temperature anisotropy is frequently observed by spacecraft, including Parker Solar Probe (PSP), in the near-Sun solar wind, yet its impact on PDI in the near-Sun solar wind has been understudied. We calculate the maximum growth rates of PDI, $γ_{\max}/ω_{0}$, where $ω_0$ is the frequency of the parent wave, by solving the linear dispersion relation of Chew-Goldberger-Low (CGL) equations under several expanding background models. To assess the effect of temperature anisotropy, the growth rate is compared with that derived from ideal magnetohydrodynamics (MHD). From $R_0$ ($ = 1.02R_\odot$) to $30R_0$, we consider three expansion cases: (i) spherically symmetric adiabatic expansion with constant wind speed, (ii) Multi-source observation- and model-constrained expansion, and (iii) a PSP-constrained profile of $(β_{\parallel},ξ)$, where $β_\parallel=8πp_{\parallel0}/B_0^2$ is the parallel plasma beta and $ξ=T_{\perp0} / T_{\parallel0}$ is the temperature anisotropy, that includes Parker-spiral effects. We find that temperature anisotropy increases $γ_{\max}/ω_{0}$ for $β\lesssim 0.1$ in the near-Sun solar wind: in the case of (iii), temperature anisotropy with $T_{\perp0} > T_{\parallel0}$ increases $γ_{\max}/ω_{0}$ by factors of $\sim 1.5$ over $R\simeq 1$--$10\,R_0$, whereas temperature anisotropy with $T_{\parallel0}>T_{\perp0}$ decreases $γ_{\max}/ω_{0}$ at larger $R$. Our results suggest that the temperature anisotropy plays an important role in the onset of PDI even in low-$β$ regimes, such as the near-Sun solar wind.
title Radial evolution of Alfvén wave Parametric Decay Instability in the near-Sun solar wind: Effects of Temperature Anisotropy
topic Solar and Stellar Astrophysics
Space Physics
url https://arxiv.org/abs/2604.22489