Time-dependent probability density functions and information geometry of the low-to-high confinement transition in fusion plasma

Eun-jin Kim, Rainer Hollerbach

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Abstract

We report a study of time-dependent probability density functions (PDFs) in the low-to-high confinement mode (L-H) transition by extending the previous prey-predator-type model [E. Kim and P. H. Diamond, Phys. Rev. Lett. 90, 185006 (2003).] to a stochastic model. We highlight the limited utility of mean value and variance in understanding the L-H transition by showing strongly non-Gaussian PDFs, with the number of peaks changing in time. We also propose a new information geometric method by using information length, dynamical timescale, and information phase portrait, and show their utility in forecasting transitions and self-regulation between turbulence and zonal flows. In particular, we demonstrate the importance of intermittency (rare events of large amplitude) of zonal flows that can play an important role in promoting the L-H transition.
Original languageEnglish
Article number023077
Number of pages6
JournalPhysical Review Research
Volume2
Issue number2
DOIs
Publication statusPublished - 24 Apr 2020

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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. (CC-BY) Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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