Magnetic field induction by Bohm plasma diffusion

Abstract

When Bohm diffusion is incorporated, the magnetic induction equation can be transformed into a type of heat equation which allows exact analytical solutions ( Lee and Ryu 2004 Phys. Plasmas 11 5462). This equation can admit amplification solutions for the axisymmetric magnetic field, if the diffusion velocity satisfies a certain condition. This paper discusses the case of the azimuthal field and finds that there are also analytical solutions which can amplify the magnetic field.