Monte Carlo Simulations of Delocalized Transitions

In this chapter we introduce Monte Carlo (MC) simulations of models based on delocalized transitions, and compare the MC results with the deterministic solutions of the corresponding differential equations. We present the R codes for fixed time interval MC methods to simulate CW-OSL, LM-OSL, TL, and ITL processes and discuss how luminescence processes can be described within the general framework of birth and death processes. Vectorized R codes are discussed, and we show how the speed of the R codes can be improved significantly by using vectorized commands. We provide the R codes for estimating the stochastic uncertainties (CV%) in a luminescence model, and present examples of luminescence phenomena as birth and death processes. We show an example of luminescence signals from a system of small clusters, as one may encounter in nanodosimetric materials. The chapter concludes with a Monte Carlo simulation of irradiation processes within the GOT model.