| Issue |
EPL
Volume 147, Number 1, July 2024
|
|
|---|---|---|
| Article Number | 14004 | |
| Number of page(s) | 4 | |
| Section | Nuclear and plasma physics, particles and fields | |
| DOI | https://doi.org/10.1209/0295-5075/ad54ec | |
| Published online | 25 July 2024 | |
Self-consistent equilibrium of a force-free magnetic flux rope
1 Space Research Institute - Pr. Glushkova 40 k.4/1, Kyiv 03187, Ukraine
2 Institute for Nuclear Research - Pr. Nauki 47, Kyiv 03028, Ukraine
Received: 17 April 2024
Accepted: 6 June 2024
We present an exact solution to the problem of a self-consistent equilibrium force-free magnetic flux rope. Unlike other approaches, we use magnetostatic equations and assume only a relatively rapid decrease in the axial magnetic field at infinity. For the first time we obtain a new nonlinear equation for the axial current density, the derivation of which does not require any phenomenological assumptions. From the resulting nonlinear equation, we analytically find the radial profiles of the components of the magnetic field strength and current density.
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