Magnetic field dissipation and fractal model of current sheets

A model of magnetic field dissipation is suggested, which possesses features of both the Kolmogorov model of turbulence of ideal fluid and the Sweet–Parker model of magnetic reconnection. It is suggested that current sheets are smooth along the magnetic lines but have fractal structure in the transverse dimension. The fractal dimension d=2.5 of the current sheet was found instead of d=3 in Kolmogorov-like models and d=2 in the Sweet–Parker model. The reconnection time is the geometrical mean of the Alfvén time and the Sweet–Parker time. The magnetic energy dissipation time can be even shorter, up to the Alfvén time.