Lossy radial diffusion of relativistic Jovian electrons

Statistics – Computation

Scientific paper

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Computation, Electron Radiation, Jupiter (Planet), Problem Solving, Synchrotron Radiation, Asymptotes, Distribution Functions, Electron Diffusion, Electron Distribution, Laplace Transformation, Planetary Magnetospheres, Radiation Belts, Relativistic Particles

Scientific paper

The radial diffusion equation with synchrotron losses was solved by the Laplace transform method for near-equatorially mirroring relativistic electrons. The evolution of a power law distribution function was found and the characteristics of synchrotron burn-off are stated in terms of explicit parameters for an arbitrary diffusion coefficient. Emissivity from the radiation belts of Jupiter was studied. Asymptotic forms for the distribution in the strong synchrotron loss regime are provided.

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