A magnetic field model of the magnetotail current sheet based on cellular a
utomaton (CA) is presented. The present isotropic model is a continuously d
riven, two-dimensional running CA. The model has a physical interpretation
in terms of magnetohydrodynamic (MHD) equations, and features self-organize
d critical (SOC) behavior with power-law scalings both in durations and siz
es of instabilities (avalanches). The model has nonlinear energy dissipatio
n, and shows avalanches with and without an external trigger. Thus the mode
l reproduces some of the statistical features recently observed in the magn
etotail.