A Class of Zero-Variance Biasing Schemes for Monte Carlo Reaction Rate Estimators

Abstract

The radiation transport kernel has two factors, namely, the transition kernel and the collision kernel. Using the modified moments equations for analog and nonanalog games, families of zero-variance biasing schemes have been obtained for the two factors for evaluating reaction rate integrals using last-event, collision, and partial score estimators. It is shown that all zero-variance biasing schemes available in the literature belong to the respective family for each estimator.