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Reconstruction of streamline topology, and percolation models of turbulent transport


Institute of Tokamak Physics, National Research Centre ‘Kurchatov Institute’, pl. akad. Kurchatova 1, Moscow, 123182, Russian Federation

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.

Fulltext pdf (851 KB)
Fulltext is also available at DOI: 10.3367/UFNe.0183.201303b.0257
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)
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Received: 2nd, February 2012, revised: 27th, May 2012, 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

References (75) Cited by (5) Similar articles (20) ↓

  1. O.G. Bakunin “Stochastic instability and turbulent transport. Characteristic scales, increments, diffusion coefficients58 252–285 (2015)
  2. V.V. Uchaikin “Fractional phenomenology of cosmic ray anomalous diffusion56 1074–1119 (2013)
  3. Ya.B. Zel’dovich, S.A. Molchanov et alIntermittency in random media30 353–369 (1987)
  4. L.M. Zelenyi, A.I. Neishtadt et alQuasiadiabatic dynamics of charged particles in a space plasma56 347–394 (2013)
  5. V.V. Uchaikin, A.D. Erlykin, R.T. Sibatov “Nonlocal (fractional-differential) model of cosmic ray transport in the interstellar medium66 221–262 (2023)
  6. V.P. Budaev, S.P. Savin, L.M. Zelenyi “Investigation of intermittency and generalized self-similarity of turbulent boundary layers in laboratory and magnetospheric plasmas: towards a quantitative definition of plasma transport features54 875–918 (2011)
  7. V.I. Klyatskin “Integral characteristics: a key to understanding structure formation in stochastic dynamic systems54 441–464 (2011)
  8. L.A. Bol’shov, P.S. Kondratenko, L.V. Matveev “Nonclassical transport in highly heterogeneous and sharply contrasting media62 649–659 (2019)
  9. A.A. Chernyshov, K.V. Karelsky, A.S. Petrosyan “Subgrid-scale modeling for the study of compressible magnetohydrodynamic turbulence in space plasmas57 421–452 (2014)
  10. L.M. Zelenyi, A.V. Milovanov “Fractal topology and strange kinetics: from percolation theory to problems in cosmic electrodynamics47 749–788 (2004)
  11. S.A. Molchanov, A.A. Ruzmaikin, D.D. Sokolov “Kinematic dynamo in random flow28 307–327 (1985)
  12. A.M. Bykov, I.N. Toptygin “Particle kinetics in highly turbulent plasmas (renormalization and self-consistent field methods)36 (11) 1020–1052 (1993)
  13. R.T. Sibatov, V.V. Uchaikin “Fractional differential approach to dispersive transport in semiconductors52 1019–1043 (2009)
  14. K.P. Zybin, V.A. Sirota “Stretching vortex filaments model and the grounds of statistical theory of turbulence58 556–573 (2015)
  15. O.G. Onishchenko, O.A. Pokhotelov, N.M. Astaf’eva “Generation of large-scale eddies and zonal winds in planetary atmospheres51 577–589 (2008)
  16. A.A. Vedenov, E.P. Velikhov, R.Z. Sagdeev “STABILITY OF PLASMA4 332–369 (1961)
  17. A. Loskutov “Fascination of chaos53 1257–1280 (2010)
  18. V.V. Zosimov, L.M. Lyamshev “Fractals in wave processes38 347–384 (1995)
  19. G.M. Zaslavskii, B.V. Chirikov “Stochastic instability of non-linear oscillations14 549–568 (1972)
  20. B.V. Alekseev “Physical fundamentals of the generalized Boltzmann kinetic theory of ionized gases46 139–167 (2003)

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