Abstract
While previous chapters looked at examples of MC methods with a fixed time interval, in this chapter we present several examples of kinetic Monte Carlo (KMC) methods. KMC methods are based on the concept that the variable time intervals between random events follow an exponential distribution. R codes are provided here for KMC methods applied to luminescence signals as stochastic birth and death processes. The chapter concludes with a different example of the KMC method, which describes quantum tunneling processes and the anomalous fading effect from a microscopic point of view. We compare the stochastic KMC results and the corresponding CV% uncertainties with the solution of the corresponding deterministic differential equation.
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