Journal of Statistical Mechanics: Theory and Experiment, volume 2022, issue 5, pages 53205
Modified Poisson–Boltzmann equations and macroscopic forces in inhomogeneous ionic fluids
Publication type: Journal Article
Publication date: 2022-05-01
Quartile SCImago
Q2
Quartile WOS
Q1
Impact factor: 2.4
ISSN: 17425468
Statistical and Nonlinear Physics
Statistics and Probability
Statistics, Probability and Uncertainty
Abstract
We propose a field-theoretical approach based on the thermodynamic perturbation theory and within it derive a grand thermodynamic potential of the inhomogeneous ionic fluid as a functional of electrostatic potential for an arbitrary reference fluid system. We obtain a modified Poisson–Boltzmann (PB) equation as the Euler–Lagrange equation for the obtained functional. Applying Noether’s theorem to this functional, we derive a general mean-field expression for the stress tensor consistent with the respective modified PB equation. We derive a general expression for the macroscopic force acting on the dielectric or conductive body immersed in an ionic fluid. In particular, we derive a general mean-field expression for the disjoining pressure of an ionic fluid in a slit pore. We apply the developed formalism to describe three ionic fluid models of practical importance: nonpolarizable models (including the well-known PB and Poisson–Fermi equations), polarizable models (ions carry nonzero permanent dipole or static polarizability), and models of ion-dipole mixtures (including the well-known PB–Langevin equation). For these models, we obtain modified PB equations and respective stress tensors, which could be valuable for different applications, where it is necessary to estimate the macroscopic forces acting on the dielectric or conductive bodies (electrodes, colloids, membranes, etc) together with the local electrostatic potential (field) and ionic concentrations.
Citations by journals
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1 publication, 5.88%
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Physical Review Letters
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1 publication, 5.88%
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1 publication, 5.88%
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1 publication, 5.88%
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1 publication, 5.88%
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1 publication, 5.88%
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Citations by publishers
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4
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American Institute of Physics (AIP)
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American Institute of Physics (AIP)
4 publications, 23.53%
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IOP Publishing
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4 publications, 23.53%
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American Chemical Society (ACS)
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3 publications, 17.65%
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American Physical Society (APS)
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2 publications, 11.76%
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Springer Nature
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Springer Nature
2 publications, 11.76%
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World Scientific
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World Scientific
1 publication, 5.88%
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Pleiades Publishing
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Pleiades Publishing
1 publication, 5.88%
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- We do not take into account publications that without a DOI.
- Statistics recalculated only for publications connected to researchers, organizations and labs registered on the platform.
- Statistics recalculated weekly.
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Budkov Y. A., Kolesnikov A. L. Modified Poisson–Boltzmann equations and macroscopic forces in inhomogeneous ionic fluids // Journal of Statistical Mechanics: Theory and Experiment. 2022. Vol. 2022. No. 5. p. 53205.
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Budkov Y. A., Kolesnikov A. L. Modified Poisson–Boltzmann equations and macroscopic forces in inhomogeneous ionic fluids // Journal of Statistical Mechanics: Theory and Experiment. 2022. Vol. 2022. No. 5. p. 53205.
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TY - JOUR
DO - 10.1088/1742-5468/ac6a5b
UR - https://doi.org/10.1088%2F1742-5468%2Fac6a5b
TI - Modified Poisson–Boltzmann equations and macroscopic forces in inhomogeneous ionic fluids
T2 - Journal of Statistical Mechanics: Theory and Experiment
AU - Budkov, Yury A
AU - Kolesnikov, Andrei L
PY - 2022
DA - 2022/05/01 00:00:00
PB - IOP Publishing
SP - 53205
IS - 5
VL - 2022
SN - 1742-5468
ER -
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@article{2022_Budkov,
author = {Yury A Budkov and Andrei L Kolesnikov},
title = {Modified Poisson–Boltzmann equations and macroscopic forces in inhomogeneous ionic fluids},
journal = {Journal of Statistical Mechanics: Theory and Experiment},
year = {2022},
volume = {2022},
publisher = {IOP Publishing},
month = {may},
url = {https://doi.org/10.1088%2F1742-5468%2Fac6a5b},
number = {5},
pages = {53205},
doi = {10.1088/1742-5468/ac6a5b}
}
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Budkov, Yury A., and Andrei L Kolesnikov. “Modified Poisson–Boltzmann equations and macroscopic forces in inhomogeneous ionic fluids.” Journal of Statistical Mechanics: Theory and Experiment, vol. 2022, no. 5, May. 2022, p. 53205. https://doi.org/10.1088%2F1742-5468%2Fac6a5b.
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