Effect of Hyper-Resistivity on Nonlinear Tearing Modes
Wen Yang1,2, Ding Li1,2**, Xue-qiao Xu3
1Institute of Physics, Chinese Academy of Sciences, Beijing 100190 2University of Chinese Academy of Sciences, Beijing 100049 3Lawrence Livermore National Laboratory, Livermore, California 94550, USA
Abstract：We analytically investigate nonlinear tearing modes with the anomalous electron viscosity or, as it is normally called, hyper-resistivity. In contrast to the flux average method used by previous work, we employ the standard singular perturbation technique and a quasilinear method to obtain the time evolution equation of tearing modes. The result that the magnetic flux grows with time in a scaling as $t^{2/3}$ demonstrates that nonlinear tearing modes with the hyper-resistivity effect alone have a weaker dependence on time than that of the corresponding resistive case.
2018, Vol. 35 
