Power law approximations for radioactive decay chains

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摘要

Consider a radioactive decay chain X1→⋯→Xn→ and let Nn(t) be the amount of Xn at time t. This paper establishes error bounds for small and intermediate time approximations to Nn(t) including the power-law approximation Nn(t)≈Ctm-1 for τm+1<

论文关键词：Radioactive decay chain,Power law,Bateman’s formula,Approximations for decay chains,Error bound,Exponential convolution

论文评审过程：Available online 12 August 2014.

论文官网地址：https://doi.org/10.1016/j.amc.2014.07.048