Structure and thermodynamics in the linear modified Poisson-Boltzmann theories in restricted primitive model electrolytes
Structure and thermodynamics in restricted primitive model electrolytes are examined using three recently developed versions of a linear form of the modified Poisson-Boltzmann equation. Analytical expressions for the osmotic coefficient and the electrical part of the mean activity coefficient are ob...
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2021-06-01
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doaj-ccedd8a44845461ba8cb3672494100ec2021-06-17T13:49:51ZengInstitute for Condensed Matter PhysicsCondensed Matter Physics1607-324X2224-90792021-06-01242 2380110.5488/CMP.24.23801Structure and thermodynamics in the linear modified Poisson-Boltzmann theories in restricted primitive model electrolytesL. B. Bhuiyanhttps://orcid.org/0000-0002-4574-173XStructure and thermodynamics in restricted primitive model electrolytes are examined using three recently developed versions of a linear form of the modified Poisson-Boltzmann equation. Analytical expressions for the osmotic coefficient and the electrical part of the mean activity coefficient are obtained and the results for the osmotic and the mean activity coefficients are compared with that from the more established mean spherical approximation, symmetric Poisson-Boltzmann, modified Poisson-Boltzmann theories, and available Monte Carlo simulation results. The linear theories predict the thermodynamics to a remarkable degree of accuracy relative to the simulations and are consistent with the mean spherical approximation and modified Poisson-Boltzmann results. The predicted structure in the form of the radial distribution functions and the mean electrostatic potential also compare well with the corresponding results from the formal theories. The excess internal energy and the electrical part of the mean activity coefficient are shown to be identical analytically for the mean spherical approximation and the linear modified Poisson-Boltzmann theories. http://www.icmp.lviv.ua/journal/zbirnyk.106/23801/abstract.htmlrestricted primitive modelstructureosmotic coefficientactivity coefficientlinear modified poisson-boltzmann theory |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
L. B. Bhuiyan |
spellingShingle |
L. B. Bhuiyan Structure and thermodynamics in the linear modified Poisson-Boltzmann theories in restricted primitive model electrolytes Condensed Matter Physics restricted primitive model structure osmotic coefficient activity coefficient linear modified poisson-boltzmann theory |
author_facet |
L. B. Bhuiyan |
author_sort |
L. B. Bhuiyan |
title |
Structure and thermodynamics in the linear modified Poisson-Boltzmann theories in restricted primitive model electrolytes |
title_short |
Structure and thermodynamics in the linear modified Poisson-Boltzmann theories in restricted primitive model electrolytes |
title_full |
Structure and thermodynamics in the linear modified Poisson-Boltzmann theories in restricted primitive model electrolytes |
title_fullStr |
Structure and thermodynamics in the linear modified Poisson-Boltzmann theories in restricted primitive model electrolytes |
title_full_unstemmed |
Structure and thermodynamics in the linear modified Poisson-Boltzmann theories in restricted primitive model electrolytes |
title_sort |
structure and thermodynamics in the linear modified poisson-boltzmann theories in restricted primitive model electrolytes |
publisher |
Institute for Condensed Matter Physics |
series |
Condensed Matter Physics |
issn |
1607-324X 2224-9079 |
publishDate |
2021-06-01 |
description |
Structure and thermodynamics in restricted primitive model electrolytes are examined using three recently developed versions of a linear form of the modified Poisson-Boltzmann equation. Analytical expressions for the osmotic coefficient and the electrical part of the mean activity coefficient are obtained and the results for the osmotic and the mean activity coefficients are compared with that from the more established mean spherical approximation, symmetric Poisson-Boltzmann, modified Poisson-Boltzmann theories, and available Monte Carlo simulation results. The linear theories predict the thermodynamics to a remarkable degree of accuracy relative to the simulations and are consistent with the mean spherical approximation and modified Poisson-Boltzmann results. The predicted structure in the form of the radial distribution functions and the mean electrostatic potential also compare well with the corresponding results from the formal theories. The excess internal energy and the electrical part of the mean activity coefficient are shown to be identical analytically for the mean spherical approximation and the linear modified Poisson-Boltzmann theories. |
topic |
restricted primitive model structure osmotic coefficient activity coefficient linear modified poisson-boltzmann theory |
url |
http://www.icmp.lviv.ua/journal/zbirnyk.106/23801/abstract.html |
work_keys_str_mv |
AT lbbhuiyan structureandthermodynamicsinthelinearmodifiedpoissonboltzmanntheoriesinrestrictedprimitivemodelelectrolytes |
_version_ |
1721373978305495040 |