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

Jens Juul Rasmussen, Alexander V. Milovanov

Research output: Contribution to journalJournal articleResearchpeer-review

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. (C) 2014 Elsevier B.V. All rights reserved.
Original languageEnglish
JournalPhysics Letters A
Volume378
Issue number21
Pages (from-to)1492-1500
ISSN0375-9601
DOIs
Publication statusPublished - 2014

Keywords

  • Random processes and Levy flights
  • Self-organized criticality
  • Fractional kinetics
  • Drift-wave turbulence

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