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Finite-Size Effects of Binary Mutual Diffusion Coefficients from Molecular Dynamics

[Image: see text] Molecular dynamics simulations were performed for the prediction of the finite-size effects of Maxwell-Stefan diffusion coefficients of molecular mixtures and a wide variety of binary Lennard–Jones systems. A strong dependency of computed diffusivities on the system size was observ...

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Autores principales: Jamali, Seyed Hossein, Wolff, Ludger, Becker, Tim M., Bardow, André, Vlugt, Thijs J. H., Moultos, Othonas A.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: American Chemical Society 2018
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5943679/
https://www.ncbi.nlm.nih.gov/pubmed/29664633
http://dx.doi.org/10.1021/acs.jctc.8b00170
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author Jamali, Seyed Hossein
Wolff, Ludger
Becker, Tim M.
Bardow, André
Vlugt, Thijs J. H.
Moultos, Othonas A.
author_facet Jamali, Seyed Hossein
Wolff, Ludger
Becker, Tim M.
Bardow, André
Vlugt, Thijs J. H.
Moultos, Othonas A.
author_sort Jamali, Seyed Hossein
collection PubMed
description [Image: see text] Molecular dynamics simulations were performed for the prediction of the finite-size effects of Maxwell-Stefan diffusion coefficients of molecular mixtures and a wide variety of binary Lennard–Jones systems. A strong dependency of computed diffusivities on the system size was observed. Computed diffusivities were found to increase with the number of molecules. We propose a correction for the extrapolation of Maxwell–Stefan diffusion coefficients to the thermodynamic limit, based on the study by Yeh and Hummer (J. Phys. Chem. B, 2004, 108, 15873−15879). The proposed correction is a function of the viscosity of the system, the size of the simulation box, and the thermodynamic factor, which is a measure for the nonideality of the mixture. Verification is carried out for more than 200 distinct binary Lennard–Jones systems, as well as 9 binary systems of methanol, water, ethanol, acetone, methylamine, and carbon tetrachloride. Significant deviations between finite-size Maxwell–Stefan diffusivities and the corresponding diffusivities at the thermodynamic limit were found for mixtures close to demixing. In these cases, the finite-size correction can be even larger than the simulated (finite-size) Maxwell–Stefan diffusivity. Our results show that considering these finite-size effects is crucial and that the suggested correction allows for reliable computations.
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spelling pubmed-59436792018-05-11 Finite-Size Effects of Binary Mutual Diffusion Coefficients from Molecular Dynamics Jamali, Seyed Hossein Wolff, Ludger Becker, Tim M. Bardow, André Vlugt, Thijs J. H. Moultos, Othonas A. J Chem Theory Comput [Image: see text] Molecular dynamics simulations were performed for the prediction of the finite-size effects of Maxwell-Stefan diffusion coefficients of molecular mixtures and a wide variety of binary Lennard–Jones systems. A strong dependency of computed diffusivities on the system size was observed. Computed diffusivities were found to increase with the number of molecules. We propose a correction for the extrapolation of Maxwell–Stefan diffusion coefficients to the thermodynamic limit, based on the study by Yeh and Hummer (J. Phys. Chem. B, 2004, 108, 15873−15879). The proposed correction is a function of the viscosity of the system, the size of the simulation box, and the thermodynamic factor, which is a measure for the nonideality of the mixture. Verification is carried out for more than 200 distinct binary Lennard–Jones systems, as well as 9 binary systems of methanol, water, ethanol, acetone, methylamine, and carbon tetrachloride. Significant deviations between finite-size Maxwell–Stefan diffusivities and the corresponding diffusivities at the thermodynamic limit were found for mixtures close to demixing. In these cases, the finite-size correction can be even larger than the simulated (finite-size) Maxwell–Stefan diffusivity. Our results show that considering these finite-size effects is crucial and that the suggested correction allows for reliable computations. American Chemical Society 2018-04-17 2018-05-08 /pmc/articles/PMC5943679/ /pubmed/29664633 http://dx.doi.org/10.1021/acs.jctc.8b00170 Text en Copyright © 2018 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
Wolff, Ludger
Becker, Tim M.
Bardow, André
Vlugt, Thijs J. H.
Moultos, Othonas A.
Finite-Size Effects of Binary Mutual Diffusion Coefficients from Molecular Dynamics
title Finite-Size Effects of Binary Mutual Diffusion Coefficients from Molecular Dynamics
title_full Finite-Size Effects of Binary Mutual Diffusion Coefficients from Molecular Dynamics
title_fullStr Finite-Size Effects of Binary Mutual Diffusion Coefficients from Molecular Dynamics
title_full_unstemmed Finite-Size Effects of Binary Mutual Diffusion Coefficients from Molecular Dynamics
title_short Finite-Size Effects of Binary Mutual Diffusion Coefficients from Molecular Dynamics
title_sort finite-size effects of binary mutual diffusion coefficients from molecular dynamics
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5943679/
https://www.ncbi.nlm.nih.gov/pubmed/29664633
http://dx.doi.org/10.1021/acs.jctc.8b00170
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