L. Rastatter et G. Hornig, SIMULATIONS OF NONSTATIONARY MAGNETIC RECONNECTION IN LIE-TRANSPORTEDELECTROMAGNETIC-FIELDS, Physica scripta. T, T74, 1998, pp. 40-45
Magnetic reconnection is simulated with the help of covariant transpor
t equations for the electro-magnetic held They include an induction eq
uation for the magnetic as well as the electric held The transporting
dow is a four-vector field (W-4). The space components of this four-ve
ctor held an of stagnation flow type and the time-component vanishes a
t the reconnection site. The numerical method and necessary special nu
merical treatment at the line along which reconnection occurs is descr
ibed in detail The way in which the time-component (W-0) of the transp
orting flow approaches zero at the reconnection line controls the type
of non-ideal dynamics. Different profiles resulting in various curren
t density distributions are studied In reality the non-idealness neces
sary for reconnection may result from current-dependent micro-instabil
ities and therefore a current-dependent profile of W-0 is included.