On Multivariate Distribution of n-Dimensional Brownian Diffusion Particle in the Fluid

被引：2

作者：

El-Hadidy, Mohamed Abd Allah ^{[1
,2
]}

Alzulaibani, Alaa Awad ^{[2
]}

机构：

[1] Tanta Univ, Fac Sci, Math Dept, Tanta, Egypt

[2] Taibah Univ, Fac Sci, Math & Stat Dept, Yanbu, Saudi Arabia

来源：

JOURNAL OF COMPUTATIONAL AND THEORETICAL TRANSPORT | 2023年

关键词：

n-dimensional Brownian motion; statistical properties; diffusion coefficient; particle's distribution; DIFFERENTIAL MOBILITY ANALYZER; TRANSPORT;

D O I：

10.1080/23324309.2023.2254951

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work presents the multivariate distribution of an n-dimensional independent Brownian particle's position at any time t in the fluid. To know the diffusion properties of particle in a fluid, we study some statistical properties of this distribution. Besides that, we study the estimated value of the diffusion coefficient to present more information about the particle's motion in the fluid.

引用

页码：314 / 322

页数：9

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