Magnetic field generated by current filaments

Tangled Magnetic Fields in Astro- and Plasma Physics; Quantised Flux in Tightly Knotted and Linked Systems

Kimura, Y.^1

Graduate School of Mathematics, Nagoya University, Furo-cho, Chikusa-ku, Nagoya

464-8602, Japan^1

关键词: Biot-Savart law;    Current filaments;    Euler flows;    Magnetic lines;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/544/1/012004/pdf
DOI  :  10.1088/1742-6596/544/1/012004

来源: IOP

【 摘 要 】

We investigate the magnetic field generated by two straight current filaments using the analogy between steady MHD and Euler flows. Using the Biot-Savart law, we present a dynamical system describing the extension of magnetic lines around the current filaments. It is demonstrated that, if two current filaments are non-parallel, a magnetic line starting near one current goes to infinity by the drifting effect of the other.