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Mandelbrot introduced the concept of fractals to describe the non-Euclidean shape of many aspects of the natural world. In the time series context he proposed the use of fractional Brownian motion (fBm) to model non-negligible temporal persistence, the " Joseph Effect " ; and Lévy flights to quantify large dis-continuities, the " Noah Effect ". In space(More)
The higher-order statistics of magnetic field magnitude fluctuations in the fast quiet solar wind are quantified systematically, scale by scale. We find a single global non-Gaussian scale-free behavior from minutes to over 5 h. This spans the signature of an inertial range of magnetohydrodynamic turbulence and a ~1/f range in magnetic field components. This(More)
Confinement phenomenology characteristic of magnetically confined plasmas emerges naturally from a simple sandpile algorithm when the parameter controlling redistribution scalelength is varied. Close analogues are found for enhanced confinement, edge pedestals, and edge localised modes (ELMs), and for the qualitative correlations between them. These results(More)
Confinement phenomenology characteristic of magnetically confined plasmas emerges naturally from a simple sandpile algorithm when the parameter controlling redistribution scale length is varied. Close analogs are found for enhanced confinement, edge pedestals, and edge localized modes (ELMs), and for the qualitative correlations between them. These results(More)
Scaling in long term data sets of geomagnetic indices and solar wind ǫ as seen by WIND spacecraft. We study scaling in fluctuations of the geomagnetic indices (AE, AU , and AL) that provide a measure of magnetospheric activity and of the ǫ parameter which is a measure of the solar wind driver. Generalized structure function (GSF) analysis shows that(More)
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