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The interaction of laser pulses with extremely high intensity exceeding 1020 W/cm2 leads to the generation of extremely energetic particles [1] and gamma photons [2], and this interaction is accompanied by new unexpected physical phenomena [3]. The goal of kinetic simulations and analytic models is to acquire a detailed understanding of such new physical phenomena and to optimize any new methods of the generation of secondary sources of energetic particles and radiation. The numerical simulations are focused on the predictions and the preparation of future experiments to be conducted using a 10PW laser at ELI Beamlines.