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Three dimensional, particle-in-cell, fully electromagnetic simulations ofelectron plasma wake field acceleration applicable to solar atmosphere arepresented. It is established that injecting driving and trailing electronbunches into solar coronal and chromospheric plasmas, results in electricfields ($-(20-5) \times 10^{6}$ V/m), leading to acceleration of the trailingbunch up to 52 MeV, starting from initial 36 MeV. The results provide one ofpotentially important mechanisms for the extreme energetic solar flareelectrons, invoking plasma wake field acceleration.

Electron plasma wake field acceleration in solar coronal and chromospheric plasmas