B.B. Kadomtsev’s turbulence diffusion models are reviewed. Some of the current approaches to describing ’long range correlation’ effects are presented that are directly based on B.B. Kadomtsev’s ideas (diffusion renormalization of quasilinear equations, the percolation approach to strong turbulence, stochastic instability and the transverse diffusion of plasma particles as factors affecting transport in a ’braided’ magnetic field). It is shown that B.B. Kadomtsev’s analytical methods have a large heuristic power and will undoubtedly influence the further development of turbulent transport theory.