Testing for Markovian Character and Modeling of Intermittency in Solar Wind Turbulence

Abstract

We present results of statistical analysis of solar wind turbulence using an approach based on the theory of Markov processes. It is shown that the Chapman-Kolmogorov equation is approximately satisfied for the turbulent cascade. We evaluate the first two Kramers-Moyal coefficients from experimental data and show that the solution of the resulting Fokker-Planck equation agrees well with experimental probability distributions. Our results suggest the presence of a local transfer mechanism for magnetic field fluctuations in solar wind turbulence.

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Cited by in corpus (7)

• Scale interactions in magnetohydrodynamic turbulence
• Markovian Features of the Solar Wind at Sub-Proton Scales
• Multi-level stochastic refinement for complex time series and fields: A Data-Driven Approach
• Magnetospheric Multiscale Observations of Markov Turbulence on Kinetic Scales
• Statistical analysis of stochastic magnetic fluctuations in space plasma based on the MMS mission
• Testing for Markovian character of transfer of fluctuations in solar wind turbulence on kinetic scales
• Studying Complexity in Solar Wind Plasma During Shock Events. Part I: Nonextensive Tsallis Statistics