Analytic Forms of the Perpendicular Diffusion Coefficient in Magnetostatic Turbulence

Recently, a nonlinear theory for perpendicular diffusion of charged particles was presented. This theory is called the nonlinear guiding center theory and provides an integral equation for the perpendicular mean free path. In this paper we consider analytical solutions of this equation in the case of magnetostatic turbulence. The resulting formulas for the perpendicular mean free path are discussed. We also compare these new results with results of the quasi-linear theory for parallel diffusion and with observational results.