A mixed SOC-turbulence model for nonlocal transport and Lévy-fractional Fokker-Planck equation

Alexander V. Milovanov, Jens Juul Rasmussen

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Abstract

The phenomena of nonlocal transport in magnetically confined plasma are theoretically analyzed. A hybrid model is proposed, which brings together the notion of inverse energy cascade, typical of drift-wave- and two-dimensional fluid turbulence, and the ideas of avalanching behavior, associable with self-organized critical (SOC) behavior. Using statistical arguments, it is shown that an amplification mechanism is needed to introduce nonlocality into dynamics. We obtain a consistent derivation of nonlocal Fokker-Planck equation with space-fractional derivatives from a stochastic Markov process with the transition probabilities defined in reciprocal space. The hybrid model observes the Sparre Andersen universality and defines a new universality class of SOC. © 2014 Elsevier B.V.
Original languageEnglish
Pages (from-to)1492 - 1500
Number of pages9
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume378
Issue number21
DOIs
Publication statusPublished - 11 Apr 2014
Externally publishedYes

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All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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