二元竞争RSA部分填充因子的涨落
Fluctuations of the partial filling factors in competitive RSA from binary mixtures
摘要：
采用解析递归方法和蒙特卡罗模拟研究了二元混合入射粒子在直线上的竞争随机顺序吸附。我们发现小颗粒和大颗粒分布之间存在很强的相关性，因此虽然填充因子的部分贡献波动很大，但总填充因子的方差仍然相对较小。部分贡献本身的方差在较小和较大的颗粒之间是相当不同的，较大的颗粒分布更相关。部分填充因子波动的差异随着颗粒尺寸比而增加。较小颗粒的部分贡献的额外变化源自较大颗粒之间的间隙尺寸的波动。我们讨论了我们的研究结果的影响，半导体高能γ探测器的探测器的能量分辨率控制的级联能量分支过程中的相关性。
英文摘要：
Competitive random sequential adsorption on a line from a binary mix of incident particles is studied using both an analytic recursive approach and Monte Carlo simulations. We find a strong correlation between the small and the large particle distributions so that while both partial contributions to the fill factor fluctuate widely, the variance of the total fill factor remains relatively small. The variances of partial contributions themselves are quite different between the smaller and the larger particles, with the larger particle distribution being more correlated. The disparity in fluctuations of partial fill factors increases with the particle size ratio. The additional variance in the partial contribution of smaller particle originates from the fluctuations in the size of gaps between larger particles. We discuss the implications of our results to semiconductor high-energy gamma detectors where the detector energy resolution is controlled by correlations in the cascade energy branching process.
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