Watkins, Nicholas W., Credgington, Daniel, Hnat, B., Chapman, Sandra C., Freeman, Mervyn P. and Greenhough, John (2005) Towards synthesis of solar wind and geomagnetic scaling exponents: A fractional Levy motion model. SPACE SCIENCE REVIEWS, 121 (1-4). pp. 271-284. doi:10.1007/s11214-006-4578-2

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Abstract

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 Levy flights to quantify large discontinuities, the 'Noah Effect'. In space physics, both effects are manifested in the intermittency and long-range correlation which are by now well-established features of geomagnetic indices and their solar wind drivers. In order to capture and quantify the Noah and Joseph effects in one compact model, we propose the application of the 'bridging' fractional Levy motion (fLm) to space physics. We perform an initial evaluation of some previous scaling results in this paradigm, and show how fLm can model the previously observed exponents. We suggest some new directions for the future.

Item Type:	Journal Item
Subjects:	Q Science > QB Astronomy
Journal or Publication Title:	SPACE SCIENCE REVIEWS
Publisher:	SPRINGER
ISSN:	0038-6308
Official Date:	December 2005
Dates:	Date Event December 2005 UNSPECIFIED
Volume:	121
Number:	1-4
Number of Pages:	14
Page Range:	pp. 271-284
DOI:	10.1007/s11214-006-4578-2
Publication Status:	Published

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