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Perpendicular diffusion of magnetic field lines in double curl Beltrami magnetic fields

Author

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  • Samanta, Subha
  • Janaki, M.S.

Abstract

The transport of magnetic field lines is investigated numerically by considering a static magnetic fluctuation with a uniform background field in which the fluctuating part is obtained as a particular solution of the double curl equation and is non force-free in nature. It is found that the transport of magnetic field lines is anomalous, in fact, subdiffusion for lower fluctuation level, δB∕B0, relative to the mean field. The situation corresponds to weak chaos and closed magnetic surfaces in the phase space. Stochasticity increases by increasing the fluctuation level. Higher fluctuation levels with δB∕B0>1 lead to global stochasticity and almost normal diffusion. These results for transport characteristics are supported by analyzing the kurtosis of the displacement distribution of the chaotic field lines. A mixed phase space leads to non-Gaussian structure of the displacement probability distribution for the chaotic trajectories, whereas a wholly chaotic phase space supports nearly Gaussian distribution.

Suggested Citation

  • Samanta, Subha & Janaki, M.S., 2019. "Perpendicular diffusion of magnetic field lines in double curl Beltrami magnetic fields," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 529(C).
    • Handle: RePEc:eee:phsmap:v:529:y:2019:i:c:s0378437119309045
    DOI: 10.1016/j.physa.2019.121540
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