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.
|Pages (from-to)||1492 - 1500|
|Number of pages||9|
|Journal||Physics Letters, Section A: General, Atomic and Solid State Physics|
|Publication status||Published - 11 Apr 2014|
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)
Milovanov, A. V., & Juul Rasmussen, J. (2014). A mixed SOC-turbulence model for nonlocal transport and Lévy-fractional Fokker-Planck equation. Physics Letters, Section A: General, Atomic and Solid State Physics, 378(21), 1492 - 1500. https://doi.org/10.1016/j.physleta.2014.03.047