A self-consistent model for the electronic component of a thin current sheet in the Earth’s magnetosphere

A self-consistent model for the electronic component of a thin current sheet (TCS) of the Earth’s magnetosphere based on the concept of the tension of lines of force is proposed and studied analytically and numerically. It has been shown that the model has a certain range of applicability, beyond which the results may be incorrect; within the range of correctness the model allows for a quite significant increase in the rate of convergence of the iterative algorithm for solving the total self-consistent model of the TCS, which also includes the Boltzmann equations for the ionic component.