The effects of magnetic field geometry on the confinement of energetic electrons in solar flares

Computer Science – Numerical Analysis

Scientific paper

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Coronal Loops, Magnetic Field Configurations, Solar Electrons, Solar Flares, Solar Magnetic Field, Solar X-Rays, Analytic Functions, Electron Distribution, Electron Energy, Fokker-Planck Equation, Numerical Analysis, Steady State

Scientific paper

The steady-state distribution of energetic electrons in a flaring coronal loop is presently used to compute a Fokker-Planck code encompassing the effects of a variable magnetic field. The equation's solutions for each of three functional forms of B(s), or magnetic induction as a function of distance along a field line, are obtained for two different types of boundary condition in electron pitch-angle space. The rate at which electrons are lost from the system is then derived. The results thus obtained are generally insensitive to both the functional form of B(s) and the choice of pitch-angle space boundary condition.

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