Rossby wave instability in weakly ionized protoplanetary disks. II. radial B-fields

Fuente: arXiv
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Autori principali: Cui, Can, Wang, Zijin
Natura: Preprint
Pubblicazione: 2024
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author Cui, Can
Wang, Zijin
author_facet Cui, Can
Wang, Zijin
contents Building on our first paper in this series, we investigate the impact of radial magnetic fields and non-ideal magnetohydrodynamic (MHD) effects - specifically, Ohmic resistivity, Hall drift, and ambipolar diffusion - on RWI unstable modes. The presence of a radial field is linked to the disk's vertical shear and vertical magnetic field. We perform radially global linear analyses and utilize the spectral code \textsc{Dedalus} to solve the matrix eigenvalue problems. Our findings reveal that radial fields exhibit behavior similar to vertical fields. In the ideal MHD limit, radial fields enhance the effect of vertical fields in reducing growth rates, with significant reductions starting at relatively weak field strengths, around $β\sim 10^3 - 10^4$, which are relevant to protoplanetary disks. In the non-ideal MHD limit, all three non-ideal effects, when sufficiently strong, cause the growth rates to closely resemble those observed in hydrodynamic models.
format Preprint
id arxiv_https___arxiv_org_abs_2408_02556
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Rossby wave instability in weakly ionized protoplanetary disks. II. radial B-fields
Cui, Can
Wang, Zijin
Earth and Planetary Astrophysics
Building on our first paper in this series, we investigate the impact of radial magnetic fields and non-ideal magnetohydrodynamic (MHD) effects - specifically, Ohmic resistivity, Hall drift, and ambipolar diffusion - on RWI unstable modes. The presence of a radial field is linked to the disk's vertical shear and vertical magnetic field. We perform radially global linear analyses and utilize the spectral code \textsc{Dedalus} to solve the matrix eigenvalue problems. Our findings reveal that radial fields exhibit behavior similar to vertical fields. In the ideal MHD limit, radial fields enhance the effect of vertical fields in reducing growth rates, with significant reductions starting at relatively weak field strengths, around $β\sim 10^3 - 10^4$, which are relevant to protoplanetary disks. In the non-ideal MHD limit, all three non-ideal effects, when sufficiently strong, cause the growth rates to closely resemble those observed in hydrodynamic models.
title Rossby wave instability in weakly ionized protoplanetary disks. II. radial B-fields
topic Earth and Planetary Astrophysics
url https://arxiv.org/abs/2408.02556