The nonlinear evolution of tearing mode with electron viscosity in electron magnetohydrodynamics

Huishan Cai; Xiankang Dou; Ding Li
March 2010
Physics of Plasmas;Mar2010, Vol. 17 Issue 3, p032111
Academic Journal
The general time evolution of tearing mode due to electron viscosity μe from linear to nonlinear phase in the framework of electron magnetohydrodynamics (EMHD) is derived by quasilinear theory. Tearing mode grows exponentially in the linear phase and slows to an algebraic growth behavior Ψ1∝(μet)2/3 (Ψ1 is the magnetic flux) in the nonlinear phase. These two phases are separated by a transition during which the growth behavior is much different from that in the linear and nonlinear phases. It behaves as Ψ1∝μe5/8t1/2 approximately.


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