Quasi-linear theory of forced magnetic reconnection for the transition from the linear to the Rutherford regime

@article{Huang2020QuasilinearTO,
  title={Quasi-linear theory of forced magnetic reconnection for the transition from the linear to the Rutherford regime},
  author={Wenlong Huang and Ping Zhu},
  journal={Nuclear Fusion},
  year={2020},
  volume={61}
}
Using the in-viscid two-field reduced magneto-hydrodynamic (MHD) model, a new analytical theory is developed to unify the Hahm–Kulsrud–Taylor (HKT) linear solution and the Rutherford quasi-linear regime. Adopting a quasi-linear approach, we obtain a closed system of equations for plasma response in the Taylor problem. An integral form of an analytical solution is obtained for the forced magnetic reconnection, uniformly valid throughout the entire regimes from the HKT linear solution to the… 
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