Intermittency, Self- Similarity and a stochastic dynamical model for Solar Wind Turbulence

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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2149 Mhd Waves And Turbulence, 2159 Plasma Waves And Turbulence, 3210 Modeling, 3250 Fractals And Multifractals

Scientific paper

The solar wind provides a natural laboratory for observations of MHD turbulence over extended temporal scales. We identify approximate self-similarity in the Probability Density Functions (PDF) of fluctuations in certain solar wind in- situ bulk plasma parameters. Whereas the fluctuations of speed for example are multi-fractal, we find that under certain conditions the fluctuations in the ion density, field and particle energy densities and MHD-approximated Poynting flux are approximately self-similar on timescales up to tens of hours. The intermittency of thesystem is then expressed in these parameters through the non-Gaussian nature of the single curve that describes the fluctuations PDF up to this timescale. Self- similarity implies that a simple Fokker-Planck model exists for the timeseries and we derive this here along with the associated Langevin equation- a stochastic dynamical equation for the fluctuations in the timeseries. This is an example of a generic approach to turbulence, with connections with our understanding of the statistical mechanics of correlated systems generally.

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