Nonlinear steepening of a fast magnetoacoustic wave in the vicinity of a coronal magnetic null point

Fuente: arXiv
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Hauptverfasser: Zhong, Yu, Nakariakov, Valery M., Cécere, Mariana, Costa, Andrea
Format: Preprint
Veröffentlicht: 2026
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author Zhong, Yu
Nakariakov, Valery M.
Cécere, Mariana
Costa, Andrea
author_facet Zhong, Yu
Nakariakov, Valery M.
Cécere, Mariana
Costa, Andrea
contents The interaction of a fast magnetoacoustic wave with a magnetic null point is studied in the context of the sympathetic flare phenomenon. Attention is paid to steepening the wave caused by the finite-amplitude effects in a non-uniform plasma environment. The null point is modelled by a potential magnetic configuration without a guiding field. The equilibrium plasma density and temperature are taken to be constant. The fast wave is excited by an impulsive point source outside the distance at which the local Alfvén and sound speeds are equal to each other. The incoming fast wave approaches the null point along the bisector of the magnetic configuration, i.e., across the local field. The fast-speed non-uniformity around the null point causes the refraction of the incident fast wave. However, the segment of the incoming wave, which approaches the null point is locally plane. The decrease in the fast speed towards the null point amplifies the nonlinear deformation of the incoming wave. Hence, the fast wave can become subject to nonlinear dissipation at a distance from the null point and not reach it.
format Preprint
id arxiv_https___arxiv_org_abs_2605_04437
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Nonlinear steepening of a fast magnetoacoustic wave in the vicinity of a coronal magnetic null point
Zhong, Yu
Nakariakov, Valery M.
Cécere, Mariana
Costa, Andrea
Solar and Stellar Astrophysics
Plasma Physics
The interaction of a fast magnetoacoustic wave with a magnetic null point is studied in the context of the sympathetic flare phenomenon. Attention is paid to steepening the wave caused by the finite-amplitude effects in a non-uniform plasma environment. The null point is modelled by a potential magnetic configuration without a guiding field. The equilibrium plasma density and temperature are taken to be constant. The fast wave is excited by an impulsive point source outside the distance at which the local Alfvén and sound speeds are equal to each other. The incoming fast wave approaches the null point along the bisector of the magnetic configuration, i.e., across the local field. The fast-speed non-uniformity around the null point causes the refraction of the incident fast wave. However, the segment of the incoming wave, which approaches the null point is locally plane. The decrease in the fast speed towards the null point amplifies the nonlinear deformation of the incoming wave. Hence, the fast wave can become subject to nonlinear dissipation at a distance from the null point and not reach it.
title Nonlinear steepening of a fast magnetoacoustic wave in the vicinity of a coronal magnetic null point
topic Solar and Stellar Astrophysics
Plasma Physics
url https://arxiv.org/abs/2605.04437