Study of Superexponential Growth of the Mean Particle Flux by Monte Carlo Method

被引：0
|
作者：
Lotova, G. Z. [1 ,2 ]
Mikhailov, G. A. [1 ,2 ]
机构：
[1] Russian Acad Sci, Siberian Branch, Inst Computat Math & Math Geophys, Novosibirsk, Russia
[2] Novosibirsk State Univ, Novosibirsk, Russia
来源：
NUMERICAL ANALYSIS AND APPLICATIONS | 2023年 / 16卷 / 03期
关键词：
statistical simulation; time asymptotics; random media; flux of particles; Voronoi mosaic;
D O I：
10.1134/S1995423923030047
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A comparative analysis of two algorithms ("by particles" and "by collisions") for estimation of the weighted mean particle flux is made on the basis of a test problem solving for a single-speed particle propagation process with isotropic scattering and multiplication in a random medium. It is shown that the first algorithm is preferable for a simple estimation of the mean flux and the second one fits better for assessment of the parameters of a possible superexponential growth of the flux. Two models of the random medium are considered: a chaotic "Voronoi mosaic" and a "spherically layered mosaic." For a fixed mean correlation radius, the superexponential growth turned out to be stronger for the layered mosaic.
引用
收藏
页码：229 / 235
页数：7
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