Interactive Parameters Scan
Geometric Configuration
The corresponding field-line trajectory is
\[ x(z) = \frac{B_0}{B_n}\,\frac{\tfrac{1}{2}(z/L)^2}{1 + \tfrac{a}{2}(z/L)^2} \]
which is the profile shown in the figure: field lines bend toward the current sheet centre (\(z=0\)) from both sides and approach an asymptote \(x_\infty = B_0/(a B_n)\) as \(|z|\to\infty\).
References
References
Artemyev, A. V., A. I. Neishtadt, A. A. Vasiliev, V. Angelopoulos, A. A. Vinogradov, and L. M. Zelenyi. 2020. “Superfast Ion Scattering by Solar Wind Discontinuities.” Physical Review E 102 (3): 033201. https://doi.org/10.1103/PhysRevE.102.033201.
Artemyev, A. V., A. I. Neishtadt, and L. M. Zelenyi. 2013. “Ion Motion in the Current Sheet with Sheared Magnetic Field – Part 1: Quasi-adiabatic Theory.” Nonlinear Processes in Geophysics 20 (1): 163–78. https://doi.org/10.5194/npg-20-163-2013.
Malara, Francesco, Silvia Perri, and Gaetano Zimbardo. 2021. “Charged-Particle Chaotic Dynamics in Rotational Discontinuities.” Physical Review E 104 (2): 025208. https://doi.org/10.1103/PhysRevE.104.025208.