The anomalous diffusion transverse to a homogeneous magnetic field B0 resulting from the interaction of the charged particles with the electric microfields in plasmas with an approximate local thermal equilibrium is analyzed by means of statistical methods based on the Langevin equation. The correlation functions of the stochastic velocity and electric microfields are calculated in closed form, from which an anomalous transverse diffusion coefficient and momentum relaxation time are derived for particles of charge e 0, mass m, and gyration frequency ω = eBo/m (kT = thermal energy).