Statistical Properties of Turbulent Electromagnetic Field Inhomogeneities

Mathematics – Logic

Scientific paper

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2149 Mhd Waves And Turbulence

Scientific paper

We study statistical properties of turbulent electromagnetic field artificially generated with power-law spectra, and discuss the relative importance of adiabatic and non-adiabatic diffusion in such a field. The fields are derived from the vector potential in the Lorentz gauge, with power-law spectrum and random independant phases. The diffusion process as well as the particle heating and acceleration are dependent on the ratio between characteristic scale of the field non-homogeneity and Larmor radius of particle. The regions where the scale of variations is smaller than the Larmor radius are those where the heating is overadiabatic, and the diffusion coefficient can be larger. Thus, the relative volume of these regions and their topological characteristics determine the effectiveness of the heating process and the transport characteristics. We evaluate the scaling properties of these regions for different turbulent spectra as a function of the turbulence spectral index.

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