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

IF 0.7 4区工程技术 Q3 MATHEMATICS, APPLIED

Journal of Computational and Theoretical Transport Pub Date : 2023-06-07 DOI:10.1080/23324309.2023.2254951

Mohamed Abd Allah El-Hadidy, Alaa Awad Alzulaibani

引用次数: 0

Abstract

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.

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流体中n维布朗扩散粒子的多元分布

这项工作提出了一个n维独立布朗粒子在任何时间t在流体中的位置的多元分布。为了了解粒子在流体中的扩散特性，我们研究了这种分布的一些统计性质。此外，我们还研究了扩散系数的估计值，以提供更多关于颗粒在流体中的运动的信息。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Computational and Theoretical Transport Mathematics-Mathematical Physics

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： Emphasizing computational methods and theoretical studies, this unique journal invites articles on neutral-particle transport, kinetic theory, radiative transfer, charged-particle transport, and macroscopic transport phenomena. In addition, the journal encourages articles on uncertainty quantification related to these fields. Offering a range of information and research methodologies unavailable elsewhere, Journal of Computational and Theoretical Transport brings together closely related mathematical concepts and techniques to encourage a productive, interdisciplinary exchange of ideas.