论文标题
关于$ {}^{241} $ AM的α粒子轨迹的随机性和相关性:基于信息熵的统计推断
On the randomness and correlation in the trajectories of alpha particle emitted from ${}^{241}$Am: Statistical inference based on information entropy
论文作者
论文摘要
大多数粒子探测器基于以下假设:颗粒在核衰减后随机排放。在目前的工作中,我们检验了从$ {}^{241} $ AM源和随机轨迹的空假设中发出的α粒子的随机轨迹中存在相关性的假设。通过在固态核轨道检测器中的轨迹登记来指示轨迹。优化了实验参数,以确定轨道注册中可能的相关来源以及暴露和蚀刻后的检测器条件,以避免误导结果。优化包括在登记效率中对线性的身份验证,并在暴露时间内防止注册轨道合并。统计推断过程基于对空间数据的自适应正序分析,以及对四边形数据的熵和差异分析以及随机轨迹的泊松分布的零假设。通过中央偏差趋势,经验K功能,径向分布分析和接近度分析进行聚类和分散分析。结果表明,在注册轨道中获得的信息模式可能归因于由于源化合物和封装膜中的原子而引起的强电场引起的α颗粒轨迹的改变。
Most particle detectors are based on the hypothesis that particles are emitted randomly upon nuclear decay. In the present work, we tested the hypothesis of the existence of correlation in the random trajectories of alpha particles emitted from ${}^{241}$Am source and the null hypothesis of random trajectories. The trajectories were clued through the registration of track in a solid-state nuclear track detector. The experimental parameters were optimized to identify the possible sources of correlation in the track registration and the detector conditions upon exposure and etching to avoid misleading results. The optimization included authentication of linearity in registration efficiency with exposure time to prevent coalescence of registered tracks. The statistical inference processes were based upon adaptive quadrates analysis of the spatial data, and entropy and divergence analysis of the quadrate data together with the null hypothesis of Poisson distribution of random trajectories. The clustering and dispersion analysis were performed with central deviation tendency, empirical K-function, radial distribution analysis, and proximity Analysis. Results showed a pattern of gained information within the registered tracks that may be attributed to the alteration in the alpha particles' trajectories induced by the strong electric field due to atoms in the source compound and encapsulation film.