One-Point Electric Field Statistics in the Solar Wind

Mathematics – Probability

Scientific paper

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2149 Mhd Waves And Turbulence, 2159 Plasma Waves And Turbulence, 7827 Kinetic And Mhd Theory, 7839 Nonlinear Phenomena, 7863 Turbulence

Scientific paper

The induced electric field, a fundamental quantity in magnetohydrodynamics (MHD) that has important implications in turbulence and in particle scattering, is examined both theoretically and observationally in the solar wind context. We present observations of the field distribution and strength at 1 AU using four day samples of one hour data. The induced turbulent electric field, is computed from the velocity and magnetic field obtained from the OMNI tape dataset, spanning about 30 years of hourly data. We find that the induced electric field component probability distributions are exponential or exponential-like, in accordance with the degree and type of correlations present. The results are consistent with the theoretical expectation [1] based upon the assumption of normally distributed velocity and magnetic field fluctuations. [1] L. Milano, W. H. Matthaeus, B. Breech and C. W. Smith, Phys. Rev E, 65, 026310, 2002

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