Bounded Estimators for Flux at a Point in Monte Carlo
H. Steinberg, Malvin H. Kalos
Abstract
H. Steinberg, Malvin H. Kalos
Abstract
Methods are given for obtaining bounded estimators for radiation flux at a point detector in a Monte Carlo calculation. In essence, the procedure is to so bias the collision density in the neighborhood of the detector that the usually singular last-flight estimator gives bounded results. The change with respect to usual Monte Carlo procedures is “local” in that only collisions within a fixed neighborhood of the detector are affected. A reselection procedure is used to implement the local requirement.
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Methods are given for obtaining bounded estimators for radiation flux at a point detector in a Monte Carlo calculation. In essence, the procedure is to so bias the collision density in the neighborhood of the detector that the usually singular last-flight estimator gives bounded results. The change with respect to usual Monte Carlo procedures is “local” in that only collisions within a fixed neighborhood of the detector are affected. A reselection procedure is used to implement the local requirement.
Key concepts: Monte Carlo method, Estimator, Bounded function, Detector, Statistical physics, Physics, Monte Carlo method in statistical physics, Flux (metallurgy)