This paper discusses in detail the percolation models of turbulent diffusion that help to establish nontrivial relationships between theoretical concepts used in turbulence, dynamical systems, transport, etc. theories. This approach is particularly important due to the need to describe turbulence in the presence of coherent structures, streamline 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.

PACS: 05.40.−a, 47.27.T−, 47.53.+n (all) DOI: 10.3367/UFNe.0183.201303b.0257 URL: https://ufn.ru/en/articles/2013/3/b/ 000320226200002 2013PhyU...56..243B Citation: Bakunin O G "Reconstruction of streamline topology, and percolation models of turbulent transport" Phys. Usp. 56 243–260 (2013) BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks Received: 2nd, February 2012, revised: 27th, May 2012, accepted: 2nd, June 2012 Оригинал: Бакунин О Г «Перестройка топологии линий тока и перколяционные модели турбулентного переноса» УФН 183 257–276 (2013); DOI: 10.3367/UFNr.0183.201303b.0257