Inductive electromagnetic effects in solar current-carrying magnetic loops

Effects of electromagnetic inductive interactions in groups of slowly growing current-carrying loops are studied. Each loop is considered as an equivalent electric circuit with variable resistivity and inductive coefficients. These parameters depend on the geometry of the loop, its position with respect to neighboring loops, as well as on the plasma temperature and density in the magnetic tube. By means of such a model the process of generation of currents and temperature change in coronal loops moving relative to each other, and their dynamic interaction were studied. There are three main results of this analysis. First, the possibility of a relatively quick development of a significant longitudinal current in a rising and initially current-free magnetic loop is demonstrated. Second, the processes of fast, flare-like, plasma temperature increase in inductively connected growing loops with high enough currents, ~10^10 - 10^11 A, as well as run-away electrons acceleration in the loops by inductive electric fields are modelled. And third, based on the analysis of a ponderomotoric interaction of current-carrying magnetic loops, conditions for their oscillations or a fast change of the loops inclination, possibly resulting in their coalescence and magnetic reconnection, are studied. The main characteristics of the oscillatory dynamics of a loop were calculated.