Phase space evolution of pairs created in strong electric fields

We study the process of energy conversion from overcritical electric field into electron–positron–photon plasma. We solve numerically Vlasov–Boltzmann equations for pairs and photons assuming the system to be homogeneous and anisotropic. All the 2-particle QED interactions between pairs and photons are described by collision terms. We evidence several epochs of this energy conversion, each of them associated to a specific physical process. Firstly pair creation occurs, secondly back reaction results in plasma oscillations. Thirdly photons are produced by electron–positron annihilation. Finally particle interactions lead to completely equilibrated thermal electron–positron–photon plasma.

► We study the electron–positron pair production in presence of strong electric fields.
► The Boltzmann–Vlasov equations describing electrons, positrons and photons are solved numerically.
► Interactions between particles are described by exact QED collision integrals.
► Interactions result in a completely equilibrated thermal electron–positron–photon plasma.
► Time scales of different processes are discussed.