We study a parallel Monte Carlo (MC) method for investigation of a quantum kinetic equation which accounts for the action of the electric field during the process of electron-phonon interaction. Optimization of the presented parallel algorithm is done using variance reduction techniques and parallel random sequences from the Scalable Parallel Random Number Generator (SPRNG) library. The developed code written in C is parallelized with MPI and OpenMP codes. Numerical results for the parallel efficiency of the algorithm are obtained. The dependence of the electron energy distribution on applied electric field is investigated for long evolution times. The distribution function is computed for GaAs material parameters.
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