Skewness in 2D Lévy flight distribution in the BMF formalism (left) as a function of the order of the expansion in (18) for α = 3/2 and (middle) as a function of the Lévy flight index α. Exact and MF values are shown as red-solid and black-dotted lines, respectively. (Right) The difference between MF and BMF density probability distribution functions for different expansion orders. We present the PDF from the main body of the text; ξ₀ = 2.47 and use an effective α = 1.43 in the BMF expansion. The red points/error bars are the mean and error on mean of the simulated flights.