Simulation of doubly stochastic Poisson point processes and application to nucleation of nanocrystals and evaluation of exciton fluxes

被引：0
|
作者：
Sabelfeld, Karl K. [1 ]
Glazkov, Stepan [1 ]
机构：
[1] Russian Acad Sci, Inst Computat Math & Math Geophys, Novosibirsk, Russia
来源：
MONTE CARLO METHODS AND APPLICATIONS | 2024年 / 30卷 / 03期
基金：
俄罗斯科学基金会;
关键词：
Doubly stochastic Poisson (Cox) random point fields; nucleation of nanocrystals; Langmuire-Blodgett films; excitonic flux; fractal dimension;
D O I：
10.1515/mcma-2024-2014
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
In this study we solve the following problem: Simulate random 2D Poisson point processes with a desired correlation function. To solve this problem we suggest the following algorithm: (1) simulate a positive valued random process with the desired correlation function, (2) use this process as an intensity of the doubly stochastic Poisson random point process. We apply this algorithm to simulate random distribution of nanocrystals on a plane. Then we apply the developed methods to calculate excitonic fluxes to the family of generated nanocrystals.
引用
收藏
页码：315 / 330
页数：16
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