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Pair production due to the Schwinger mechanism is modeled in aself-consistent approach taking into account the backreaction of the createdparticles on the field. The model uses the Boltzmann kinetic equation for theelectrons and positrons and the Maxwell equations for the electromagneticfield, which are solved numerically in a certain approximation for the case ofthe linearly polarized plane wave collision. The results indicate three mainstages of the collision process: the acceleration of particles, thedeceleration of particles, and plasma oscillations. A linear equationdescribing the oscillations is obtained, the oscillation frequency is relatedto the frequency of the quasinormal mode of the plasma with the least damping.It is also shown that the oscillation frequency is of the order of the plasmafrequency.

Self-consistent model of the electron-positron pair production in the collision of laser pulses