The role of B B Kadomtsev's ideas in shaping the current understanding of turbulent transport

B B Kadomtsev's turbulent 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 great heuristic power and will undoubtedly influence the further development of turbulent transport theory.