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Towards synthesis of solar wind and geomagnetic scaling exponents: a fractional Levy motion model

Watkins, Nicholas W.; Credgington, Daniel; Hnat, Bogdan; Chapman, Sandra C.; Freeman, Mervyn P.; Greenhough, John. 2005 Towards synthesis of solar wind and geomagnetic scaling exponents: a fractional Levy motion model. Space Science Reviews, 121 (1-4). 271-284. 10.1007/s11214-006-4578-2

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Abstract/Summary

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 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 Lévy 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: Publication - Article
Digital Object Identifier (DOI): 10.1007/s11214-006-4578-2
Programmes: BAS Programmes > Antarctic Science in the Global Context (2000-2005) > Magnetic Reconnection, Substorms and their Consequences
ISSN: 0038-6308
Format Availability: Electronic, Print
Additional Information. Not used in RCUK Gateway to Research.: Full text not available from this repository
Additional Keywords: Magnetosphere ; Solar wind ; Fractals
NORA Subject Terms: Space Sciences
Date made live: 24 Jul 2007 09:00
URI: http://nora.nerc.ac.uk/id/eprint/153

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