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Generalized Form for Finite-Size Corrections in Mutual Diffusion Coefficients of Multicomponent Mixtures Obtained from Equilibrium Molecular Dynamics Simulation
[Image: see text] The system-size dependence of computed mutual diffusion coefficients of multicomponent mixtures is investigated, and a generalized correction term is derived. The generalized finite-size correction term was validated for the ternary molecular mixture chloroform/acetone/methanol as...
Autores principales: | , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
American
Chemical Society
2020
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Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7288667/ https://www.ncbi.nlm.nih.gov/pubmed/32338889 http://dx.doi.org/10.1021/acs.jctc.0c00268 |
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author | Jamali, Seyed Hossein Bardow, André Vlugt, Thijs J. H. Moultos, Othonas A. |
author_facet | Jamali, Seyed Hossein Bardow, André Vlugt, Thijs J. H. Moultos, Othonas A. |
author_sort | Jamali, Seyed Hossein |
collection | PubMed |
description | [Image: see text] The system-size dependence of computed mutual diffusion coefficients of multicomponent mixtures is investigated, and a generalized correction term is derived. The generalized finite-size correction term was validated for the ternary molecular mixture chloroform/acetone/methanol as well as 28 ternary LJ systems. It is shown that only the diagonal elements of the Fick matrix show system-size dependency. The finite-size effects of these elements can be corrected by adding the term derived by Yeh and Hummer (J. Phys. Chem. B2004, 108, 15873–15879). By performing an eigenvalue analysis of the finite-size effects of the matrix of Fick diffusivities we show that the eigenvector matrix of Fick diffusivities does not depend on the size of the simulation box. Only eigenvalues, which describe the speed of diffusion, depend on the size of the system. An analytic relation for finite-size effects of the matrix of Maxwell–Stefan diffusivities was developed. All Maxwell–Stefan diffusivities depend on the system size, and the required correction depends on the matrix of thermodynamic factors. |
format | Online Article Text |
id | pubmed-7288667 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2020 |
publisher | American
Chemical Society |
record_format | MEDLINE/PubMed |
spelling | pubmed-72886672020-06-15 Generalized Form for Finite-Size Corrections in Mutual Diffusion Coefficients of Multicomponent Mixtures Obtained from Equilibrium Molecular Dynamics Simulation Jamali, Seyed Hossein Bardow, André Vlugt, Thijs J. H. Moultos, Othonas A. J Chem Theory Comput [Image: see text] The system-size dependence of computed mutual diffusion coefficients of multicomponent mixtures is investigated, and a generalized correction term is derived. The generalized finite-size correction term was validated for the ternary molecular mixture chloroform/acetone/methanol as well as 28 ternary LJ systems. It is shown that only the diagonal elements of the Fick matrix show system-size dependency. The finite-size effects of these elements can be corrected by adding the term derived by Yeh and Hummer (J. Phys. Chem. B2004, 108, 15873–15879). By performing an eigenvalue analysis of the finite-size effects of the matrix of Fick diffusivities we show that the eigenvector matrix of Fick diffusivities does not depend on the size of the simulation box. Only eigenvalues, which describe the speed of diffusion, depend on the size of the system. An analytic relation for finite-size effects of the matrix of Maxwell–Stefan diffusivities was developed. All Maxwell–Stefan diffusivities depend on the system size, and the required correction depends on the matrix of thermodynamic factors. American Chemical Society 2020-04-27 2020-06-09 /pmc/articles/PMC7288667/ /pubmed/32338889 http://dx.doi.org/10.1021/acs.jctc.0c00268 Text en Copyright © 2020 American Chemical Society This is an open access article published under a Creative Commons Non-Commercial No Derivative Works (CC-BY-NC-ND) Attribution License (http://pubs.acs.org/page/policy/authorchoice_ccbyncnd_termsofuse.html) , which permits copying and redistribution of the article, and creation of adaptations, all for non-commercial purposes. |
spellingShingle | Jamali, Seyed Hossein Bardow, André Vlugt, Thijs J. H. Moultos, Othonas A. Generalized Form for Finite-Size Corrections in Mutual Diffusion Coefficients of Multicomponent Mixtures Obtained from Equilibrium Molecular Dynamics Simulation |
title | Generalized Form for Finite-Size Corrections in Mutual
Diffusion Coefficients of Multicomponent Mixtures Obtained from Equilibrium
Molecular Dynamics Simulation |
title_full | Generalized Form for Finite-Size Corrections in Mutual
Diffusion Coefficients of Multicomponent Mixtures Obtained from Equilibrium
Molecular Dynamics Simulation |
title_fullStr | Generalized Form for Finite-Size Corrections in Mutual
Diffusion Coefficients of Multicomponent Mixtures Obtained from Equilibrium
Molecular Dynamics Simulation |
title_full_unstemmed | Generalized Form for Finite-Size Corrections in Mutual
Diffusion Coefficients of Multicomponent Mixtures Obtained from Equilibrium
Molecular Dynamics Simulation |
title_short | Generalized Form for Finite-Size Corrections in Mutual
Diffusion Coefficients of Multicomponent Mixtures Obtained from Equilibrium
Molecular Dynamics Simulation |
title_sort | generalized form for finite-size corrections in mutual
diffusion coefficients of multicomponent mixtures obtained from equilibrium
molecular dynamics simulation |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7288667/ https://www.ncbi.nlm.nih.gov/pubmed/32338889 http://dx.doi.org/10.1021/acs.jctc.0c00268 |
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