The dependence of the strength and thickness of field-aligned currents on solar wind and ionospheric parameters

Sheared plasma flows at the low-latitude boundary layer (LLBL) correlate well with early afternoon auroral arcs and upward field-aligned currents. We present a simple analytic model that relates solar wind and ionospheric parameters to the strength and thickness of field-aligned currents (Λ) in a region of sheared velocity, such as the LLBL. We compare the predictions of the model with DMSP observations and find remarkably good scaling of the upward region 1 currents with solar wind and ionospheric parameters in region located at the boundary layer or open field lines at 1100-1700 magnetic local time. We demonstrate that [Formula: see text] and Λ ~ L when Λ/L < 5 where L is the auroral electrostatic scale length. The sheared boundary layer thickness (Δ _m ) is inferred to be around 3000 km, which appears to have weak dependence on V_sw. J_‖ has dependencies on Δ _m , Σ _p , n_sw, and V_sw. The analytic model provides a simple way to organize data and to infer boundary layer structures from ionospheric data.