Model of Transport of Large-Scale Magnetic Field Fluctuations in the Solar Wind

We consider a model that couples the magnetic field fluctuations in the heliosphere with random shifts of force line footpoints on the Sun. This model generalizes the Giacalone (2001) model by taking into account the large-scale inhomogeneity of the solar wind velocity. This generalization aims to explain a number of specific features of the distribution of IMF directions, such as the change in the asymmetry of the distribution of IMF directions as a function of heliographic latitude and the solar cycle phase and the correlation of azimuthal angles and inclinations of the IMF; the sign of this correlation changes during the solar magnetic cycle. The simulation results have shown that the gradients of the solar wind speed can actually explain these specific features of the distribution of IMF directions, at least qualitatively.