Nonlinear force-free configurations in cylindrical geometry
Maxim Lyutikov (Purdue University)
TL;DR
This paper introduces a new family of nonlinear force-free magnetic field solutions in cylindrical geometry, characterized by radial power-law dependence and non-harmonic azimuthal periodicity, extending vacuum potential fields to include currents.
Contribution
It presents novel nonlinear force-free solutions in cylindrical geometry that generalize existing vacuum potential fields to current-carrying configurations.
Findings
New family of solutions with radial power-law dependence
Periodic but non-harmonic in azimuthal direction
Extension of vacuum potential fields to current-carrying structures
Abstract
We find a new family of solutions for force-free magnetic structures in cylindrical geometry. These solutions have radial power-law dependance and are periodic but non-harmonic in azimuthal direction; they generalize the vacuum -independent potential fields to current-carrying configurations.
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