Higher order corrections to the sharp-front magnetic diffusion wave formulas

An analytical solution to the sharp-front magnetic diffusion problem with a step-like resistance model is an interesting mathematical physics problem. It also relates to the plasma production at the surface of a metal under strong magnetic loading measured in experiments. In this paper, we make an a...

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Bibliographic Details
Published in:AIP advances 2021-05, Vol.11 (5), p.055201-055201-5
Main Authors: Yan, Chunhui, Xiao, Bo, Wang, Ganghua, Li, Ping
Format: Article
Language:English
Subjects:
Diffusion waves
Exact solutions
Field strength
Magnetic diffusion
Model accuracy
Plasmas (physics)
Wave resistance
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Summary:An analytical solution to the sharp-front magnetic diffusion problem with a step-like resistance model is an interesting mathematical physics problem. It also relates to the plasma production at the surface of a metal under strong magnetic loading measured in experiments. In this paper, we make an advance on an earlier work of Xiao et al. [Phys. Plasmas 23, 082104 (2016)], by deriving formulas for the threshold magnetic field strength and the diffusion velocity of the magnetic diffusion wave under a step-like resistance model to the higher order accuracy.
ISSN:2158-3226
2158-3226
DOI:10.1063/5.0049296