Authors: H. Kosina, M. Nedjalkov and S. Selberherr
Affilation: Technical University of Vienna, Austria
Pages: 11 - 14
Keywords: event biasing, variance reduction, Monte Carlo method, Boltzmann equation, device simulation
A theoretical analysis of the Monte Carlo (MC) method for the solution of the stationary boundary value problem defined by the Boltzmann equation is briefly outlined. This analysis clearly shows how event biasing can be used withing the well-known One-Particle MC method. To enhance statistics in sparsely populated regions of interest, artificial carier heating is introduced by increasing the probability for phonon emission. The distribution of the scattering angle is biased to induce artificial carrier diffusion. Having identified the random variable whose realizations are statistically independent new variance estimates are proposed.