Numerical statistical modelling algorithms for electron avalanches in gases

摘要

A three-dimensional parallel algorithm of the Monte Carlo method (ELSHOW) is developed for simulation of electron avalanches in gases. The parallel implementation is performed with the use of the well-proven PARMONC library, which accelerates the calculations of such integral characteristics as the number of particles in an avalanche, the coefficient of impact ionization, the drift velocity, and the others, as well as ways to select an appropriate size of the time step using the technique of dependent statistical tests. The algorithm consists of special methods of distribution modelling, a lexicographic implementation scheme for 'branching' of trajectories, a 'Russian roulette', justified construction of histograms and a polygon of frequencies, and the calculation of probabilistic error estimate of functionals. A comparison of the obtained results for nitrogen with previously published theoretical and experimental data is presented.