Higher-order corrections to particle diffusion in strongly magnetized two-component plasmas

The nodal expansion of equilibrium properties of a two-component classical plasma in $2+\epsilon$ dimensions ($0\le \epsilon \le 1$) is used to investigate higher-order corrections with respect to the plasma parameter of the transverse-diffusion coefficient relative to an arbitrarily strong and constant magnetic field. Only the shortrange compact nodal graphs decaying faster than Debye contribute to the third and higher nonvanishing orders. The usual fluid-limit ($k\to 0$) procedure delivering the first-order Bohm result is shown to be self-consistent for any dimension $2\le \nu \le 3$.