Combining Stochastics and Analytics for a Fast Monte Carlo Decay Chain Generator

Understand

Various Monte Carlo programs, developed either by small groups or widely available, have been used to calculate the effects of decays of radioactive chains, from the original parent nucleus to the final stable isotopes.

• These chains include uranium, thorium, radon, and others, and generally have long-lived parent nuclei.
• Generating decays within these chains requires a certain amount of computing overhead related to simulating unnecessary decays, time-ordering the final results in post-processing, or both.
• We present a combination analytic/stochastic algorithm for creating a time-ordered set of decays with position and time correlations, and starting with an arbitrary source age.