Numerical simulation of the ring current: Review

Numerical simulation of the terrestrial ring current is reviewed. After mentioning 'modules' which are needed to be taken into consideration in a ring current simulation, we discuss growth and decay of the ring current. At least four different paradigms have been proposed to account for the ring current development in the past forty years, i.e., the convection paradigm, the substorm paradigm, the diffusion paradigm, and the ionosphere paradigm. As for the proton ring current, a simulation under the convection paradigm gives reasonable results which are in fair agreement with observations with respect to the Dst variation as well as the radial and longitudinal energy density variation of protons when the convection electric field depending on solar wind parameters is given. The proton energy density is observed to be enhanced (weakened) on the nightside, and be weakened (enhanced) near noon during a storm main phase (recovery phase). This characteristic is probably understood to mean that a large-scale and long-standing electric field dominates other electric fields during the storm main phase, e.g., a locally induced electric field (the substorm paradigm) and a highly fluctuated electric field (the diffusion paradigm). The declining of the ring current is shown to be triggered by the decrease in the convection electric field at the beginning of a storm recovery phase, but the decrease in the convection electric field hardly contributes the decay of the ring current. The charge exchange or other loss processes is needed for the substantial decay of it. An ultimate decay rate (several hours) is achieved when the strong diffusion takes place, or when the plasma sheet density drastically decreases while the charge exchange is estimated to provide rather slow decay (a half of day). Diagnosis tools for investigating the ring current, which are expected to bring us a new insight, are proposed in the latter section.