Abstract

This work provides a statistical methodology and information geometric perspective to understand the Low-to-High transition in magnetically confined fusion plasmas, as well as other self-organizing processes in non-equilibrium systems.

Highlights

  • An important example of nonequilibrium processes is found in magnetically confined fusion plasmas which aim to achieve a controlled generation of energy, mimicking nuclear reactions naturally taking place in the Sun and stars

  • 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

  • We demonstrate the importance of intermittency of zonal flows that can play an important role in promoting the L-H transition

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Summary

INTRODUCTION

An important example of nonequilibrium processes is found in magnetically confined fusion plasmas (ionized gas) which aim to achieve a controlled generation of energy, mimicking nuclear reactions naturally taking place in the Sun and stars. This paper reports a study of time-dependent probability density functions (PDFs) [18] in the L-H transition, which are invaluable to understand strongly time-dependent fluctuations (intermittency) [19], often associated with transitions The latter lead to non-Gaussian, non-stationary PDFs [19,20], with limited validity of mean value and/or variance, or stationary PDFs. Time-dependent PDFs enable us to understand the correlation/causality and hysteresis from the perspective of information theory.

STOCHASTIC MODEL
FOKKER-PLANCK EQUATION
RESULTS
Information length diagnostics
Marginal PDFs
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