Physics – Condensed Matter – Statistical Mechanics
Scientific paper
Dec 2004
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004agufmsm43b..04r&link_type=abstract
American Geophysical Union, Fall Meeting 2004, abstract #SM43B-04
Physics
Condensed Matter
Statistical Mechanics
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.
Chapman Sandra C.
Hnat Bogdan
Rowlands George
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