Macroscopic plasma diffusion as governed by the simplest form of Ohm's law for small mean free path is a very complex phenomenon which is by no means described by the classical "1/B2" formula. Diffusion across a magnetic field is, in general, a nonlocal, nonlinear, and transient combination of skin effect, field diffusion, plasma diffusion, and singular convection. It turns out that several orders of magnitude are at stake in balancing these competing effects. There is probably at least as large an unknown factor to be determined in the equivalent calculation still yo be done with a kinetic physical model. The basic question, when can transport coefficients be calculated as averages over flux surfaces, is examined.