Reconstruction of streamline topology, and percolation models of turbulent transport

This paper discusses in detail the percolation models of turbulent diffusion that help establish nontrivial relations among theoretical concepts used in the theories of turbulence, dynamical systems, transport, etc. This approach is particularly important due to the need to describe turbulence in the presence of coherent structures, flow reconstructions, and drift and dissipation effects. In such regimes, the conventional quasilinear description is inconsistent with experimental results, necessitating the search for fundamentally new models and approaches. Most attention is given to the scaling concept, an important and widely used tool among theoreticians and experimentalists.