均质随机介质中平均粒子流倍增超指数增长的数值统计研究

IF 0.5 4区数学 Q3 MATHEMATICS

Doklady Mathematics Pub Date : 2024-03-14 DOI:10.1134/S106456242370148X

G. A. Mikhailov, G. Z. Lotova

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引用次数: 0

摘要

为了对随机介质中平均粒子流的超指数增长进行有效的数值-分析研究，引入了一种新的均质随机场相关网格近似。粒子轨迹实现的复杂性与相关尺度无关。对具有各向同性散射的临界球的测试计算表明，相应的平均流估计值具有很高的准确性。对于随机密度场的相关网格近似，随着相关尺度的减小，粒子平均倍增率的高斯渐近线的可能性是合理的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Numerical-Statistical Investigation of Superexponential Growth of Mean Particle Flow with Multiplication in a Homogeneous Random Medium

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Numerical-Statistical Investigation of Superexponential Growth of Mean Particle Flow with Multiplication in a Homogeneous Random Medium

A new correlative-grid approximation of a homogeneous random field is introduced for an effective numerical-analytical investigation of the superexponential growth of the mean particle flow with multiplication in a random medium. The complexity of particle trajectory realization is independent of the correlation scale. Test computations for a critical ball with isotropic scattering showed high accuracy of the corresponding mean flow estimates. For the correlative-grid approximation of a random density field, the possibility of Gaussian asymptotics of the mean particle multiplication rate as the correlation scale decreases is justified.

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来源期刊

Doklady Mathematics 数学-数学

CiteScore

1.00

自引率

16.70%

发文量

审稿时长

3-6 weeks

期刊介绍： Doklady Mathematics is a journal of the Presidium of the Russian Academy of Sciences. It contains English translations of papers published in Doklady Akademii Nauk (Proceedings of the Russian Academy of Sciences), which was founded in 1933 and is published 36 times a year. Doklady Mathematics includes the materials from the following areas: mathematics, mathematical physics, computer science, control theory, and computers. It publishes brief scientific reports on previously unpublished significant new research in mathematics and its applications. The main contributors to the journal are Members of the RAS, Corresponding Members of the RAS, and scientists from the former Soviet Union and other foreign countries. Among the contributors are the outstanding Russian mathematicians.