Effect Of Hyper-resistivity On Tearing Modes

Nowadays,as energy crisis is increasingly severe,controlled fusion energy becomes the most important alternative since it's largely stored,safety and clean.Magnetic constraint fusion devices such as Tokamak are regarded as the most promising approach.In Tokamak,tearing mode instability is one of the most dangerous phenomena because it could change the topology of the magnetic field thus leading to the disruption and the failure of the sustainable maintenance of the device.On the other hand,tearing mode instability is influenced by the comprehensive interactions like macro MHD instabilities.In the first place,we use the reduced magnetohydrodynamics equation in a slab geometry to research the linear tearing modes with the anomalous electron viscosity or what is preferred to call the hyper-resistivity.A new linear growth rate is obtained,like ???H 1/3.Compared with resistive tearing mode whose linear growth rate is???3/5,it has a weaker dependence on viscosity.Then,nonlinear tearing modes with the hyper-resistivity are investigated analytically.The result that the magnetic flux grows as t2/3 demonstrates nonlinear tearing modes with hyper-resistivity effect alone has a less dependence on time than the corresponding the resistive case does.And the situation combined two effects are also researched.At last,we have investigated the situation when both of hyper-resistivity and shear flow are combined.The results indicate that the introduction of shear flow increase the linear growth rate.