On the relevance of fractal diffusion to auroral backscatter

Details On the relevance of fractal diffusion to auroral backscatter On the relevance of fractal diffusion to auroral backscatter

Nov 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005jastp..67.1559h&link_type=abstract

Journal of Atmospheric and Solar-Terrestrial Physics, Volume 67, Issue 16, p. 1559-1565.

Physics

1

Scientific paper

An analytical approach to non-conventional diffusive transport in auroral ionospheric turbulence is presented. Radar observations suggest that the probability density function (PDF) for plasma irregularities is non-Gaussian and exhibits stretched exponential decaying tails. In order to model these observations, we propose a transport model for the PDF based on a fractional Fokker Planck equation that includes both non-local and non-Gaussian features. A closed form expression for the autocorrelation function (ACF) is derived and shown to reproduce some of the characteristic features of auroral backscatter, suggesting non-Gaussian, and non-Markovian statistics. The analysis of correlation in radar signals provides a quantitative measure of memory of the turbulent ionospheric plasma. The primary goal of the present work is to predict the shape of coherent scatter radar Doppler spectra.

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