Research Article
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Computer Simulation of Diffusion in a Mixture of Ideal Gases Considering the Dependence of the Diffusion Coefficient on the Entropy of Mixing Using Finite Element Method
1
Chair of Information Technologies in Ecology and Medicine, International Sakharov Environmental Institute of Belarusian State University, Minsk 220070, Belarus
* Corresponding Author:
Pavel Shalkevich,
[email protected]
Volume 1, Issue 2
2025
Received: 29 September 2025
Accepted: 12 October 2025
Published: 29 October 2025
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Article Information
Volume/Issue
Volume 1, Issue 2, 2025
Pages
60-66
Abstract
The objective of the research was to perform computer simulation of diffusion in a mixture of ideal gases considering the dependence of the diffusion coefficient on the entropy of mixing according to the proposed mathematical model. Computer simulation was carried out in one-dimensional and two-dimensional settings using finite element method and Python programming language with the use of NumPy and SciPy libraries. The obtained results show that the proposed mathematical model of diffusion in a mixture of ideal gases could be used to solve computer simulation tasks of gas diffusion satisfying the principle of mass conservation, because the entropy is considered via the chemical potential.
Graphical Abstract
Keywords
computer modeling
mathematical modeling
gas diffusion
entropy of gas mixing
chemical potential
finite element method
numerical methods
Data Availability Statement
Data will be made available on request.
Funding
This work was supported without any funding.
Conflicts of Interest
The authors declare no conflicts of interest.
Ethical Approval and Consent to Participate
Not applicable.
References
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APA Style
Shalkevich, P., & Tsvikevich, N. (2025). Computer Simulation of Diffusion in a Mixture of Ideal Gases Considering the Dependence of the Diffusion Coefficient on the Entropy of Mixing Using Finite Element Method. Journal of Numerical Simulations in Physics and Mathematics, 1(2), 60–66. https://doi.org/10.62762/JNSPM.2025.504999
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TY - JOUR AU - Shalkevich, Pavel AU - Tsvikevich, Nikita PY - 2025 DA - 2025/10/29 TI - Computer Simulation of Diffusion in a Mixture of Ideal Gases Considering the Dependence of the Diffusion Coefficient on the Entropy of Mixing Using Finite Element Method JO - Journal of Numerical Simulations in Physics and Mathematics T2 - Journal of Numerical Simulations in Physics and Mathematics JF - Journal of Numerical Simulations in Physics and Mathematics VL - 1 IS - 2 SP - 60 EP - 66 DO - 10.62762/JNSPM.2025.504999 UR - https://www.icck.org/article/abs/JNSPM.2025.504999 KW - computer modeling KW - mathematical modeling KW - gas diffusion KW - entropy of gas mixing KW - chemical potential KW - finite element method KW - numerical methods AB - The objective of the research was to perform computer simulation of diffusion in a mixture of ideal gases considering the dependence of the diffusion coefficient on the entropy of mixing according to the proposed mathematical model. Computer simulation was carried out in one-dimensional and two-dimensional settings using finite element method and Python programming language with the use of NumPy and SciPy libraries. The obtained results show that the proposed mathematical model of diffusion in a mixture of ideal gases could be used to solve computer simulation tasks of gas diffusion satisfying the principle of mass conservation, because the entropy is considered via the chemical potential. SN - 3068-9082 PB - Institute of Central Computation and Knowledge LA - English ER -
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@article{Shalkevich2025Computer,
author = {Pavel Shalkevich and Nikita Tsvikevich},
title = {Computer Simulation of Diffusion in a Mixture of Ideal Gases Considering the Dependence of the Diffusion Coefficient on the Entropy of Mixing Using Finite Element Method},
journal = {Journal of Numerical Simulations in Physics and Mathematics},
year = {2025},
volume = {1},
number = {2},
pages = {60-66},
doi = {10.62762/JNSPM.2025.504999},
url = {https://www.icck.org/article/abs/JNSPM.2025.504999},
abstract = {The objective of the research was to perform computer simulation of diffusion in a mixture of ideal gases considering the dependence of the diffusion coefficient on the entropy of mixing according to the proposed mathematical model. Computer simulation was carried out in one-dimensional and two-dimensional settings using finite element method and Python programming language with the use of NumPy and SciPy libraries. The obtained results show that the proposed mathematical model of diffusion in a mixture of ideal gases could be used to solve computer simulation tasks of gas diffusion satisfying the principle of mass conservation, because the entropy is considered via the chemical potential.},
keywords = {computer modeling, mathematical modeling, gas diffusion, entropy of gas mixing, chemical potential, finite element method, numerical methods},
issn = {3068-9082},
publisher = {Institute of Central Computation and Knowledge}
}
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Copyright © 2025 by the Author(s). Published by Institute of Central Computation and Knowledge. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/), which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.
Journal of Numerical Simulations in Physics and Mathematics
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