Investigation of the Sensitivity of the Monte Carlo Solution for the Barker-Ferry Equation with Sequential and Parallel Pseudo-Random Number Generators

In this work a set of several sequential and parallel pseudo-random number generators (prng’s) are tested when we apply a MC approach for solving a quantum-kinetic equation derived from ultra-fast transport in semiconductos. The aim is an optimization of the MC solver for the equation which accounts for quantum effects in the electron-phonon interaction. We consider so-called the Barker-Ferry (B-F) equation written for the case of zero electric field. The original formulation of this equation accounts for the action of the electric field during the process of collision.

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