Analytical theory of the probability distribution function of structure formation
Abstract
The probability distribution function (PDF) tails of the zonal flow structure formation and the PDF tails of momentum flux by incorporating effect of a shear flow in ion-temperature-gradient (ITG) turbulence are computed in the present paper. The bipolar vortex soliton (modon) is assumed to be the coherent structure responsible for bursty and intermittent events driving the PDF tails. It is found that stronger zonal flows are generated in ITG turbulence than Hasegawa-Mima (HM) turbulence as well as further from marginal stability. This suggests that although ITG turbulence has a higher level of heat flux, it also more likely generates stronger zonal flows, leading to a self-regulating system. It is also shown that shear flows can significantly reduce the PDF tails of Reynolds stress and structure formation.
Cite
@article{arxiv.0901.2239,
title = {Analytical theory of the probability distribution function of structure formation},
author = {Johan Anderson and Eun-jin Kim},
journal= {arXiv preprint arXiv:0901.2239},
year = {2009}
}
Comments
27 pages, 4 figures