Reviews of topical problems

Stochastic instability and turbulent transport. Characteristic scales, increments, diffusion coefficients

National Research Centre Kurchatov Institute, pl. akad. Kurchatova 1, Moscow, 123182, Russian Federation

Stochastic instability and its associated turbulent diffusion models are reviewed with particular attention to obtaining estimates and scaling characterizing correlation effects and increments. Specific models considered include the quasilinear Kazantsev approximation, stochasticity in the system of convective cells, Kadomtsev—Pogutse scaling, percolation models, Rechester—Rosenbluth balance, etc. The primary goal is to highlight the importance of determining the functional dependence of the stochastic instability increments and transport coefficients on turbulent pulsation amplitudes and other key parameters (characteristic pulsation frequencies, drift velocities, spectral energy flow, etc.) describing systems under discussion.

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Keywords: stochastic instability, turbulent transport, diffusion coefficients, dynamical chaos, stochastic magnetic field, plasma
PACS: 05.40.−a, 47.27.−i, 47.53.+n (all)
DOI: 10.3367/UFNe.0185.201503b.0271
Citation: Bakunin O G "Stochastic instability and turbulent transport. Characteristic scales, increments, diffusion coefficients" Phys. Usp. 58 252–285 (2015)
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Received: 17th, June 2014, revised: 17th, December 2014, 23rd, December 2014

:    « . , , » 185 271–306 (2015); DOI: 10.3367/UFNr.0185.201503b.0271

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