Journal of Chemical Physics, volume 158, issue 17
Noether’s second theorem and covariant field theory of mechanical stresses in inhomogeneous ionic liquids
Brandyshev Petr E.
1
,
Budkov Yury A.
1, 2
Publication type: Journal Article
Publication date: 2023-05-05
Journal:
Journal of Chemical Physics
Quartile SCImago
Q1
Quartile WOS
Q1
Impact factor: 4.4
ISSN: 00219606, 10897690
Physical and Theoretical Chemistry
General Physics and Astronomy
Abstract
In this paper, we present a covariant approach that utilizes Noether’s second theorem to derive a symmetric stress tensor from the grand thermodynamic potential functional. We focus on the practical case where the density of the grand thermodynamic potential is dependent on the first and second coordinate derivatives of the scalar order parameters. Our approach is applied to several models of inhomogeneous ionic liquids that consider electrostatic correlations of ions or short-range correlations related to packing effects. Specifically, we derive analytical expressions for the symmetric stress tensors of the Cahn–Hilliard-like model, Bazant–Storey–Kornyshev model, and Maggs–Podgornik–Blossey model. All of these expressions are found to be consistent with respective self-consistent field equations.
Citations by journals
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1
2
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Journal of Chemical Physics
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Journal of Chemical Physics
2 publications, 25%
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Physical Review Letters
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Physical Review Letters
1 publication, 12.5%
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Polymer Science - Series C
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Polymer Science - Series C
1 publication, 12.5%
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European Physical Journal E
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European Physical Journal E
1 publication, 12.5%
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Journal of Statistical Mechanics: Theory and Experiment
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Journal of Statistical Mechanics: Theory and Experiment
1 publication, 12.5%
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Communications Physics
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Communications Physics
1 publication, 12.5%
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Journal of Physics Condensed Matter
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Journal of Physics Condensed Matter
1 publication, 12.5%
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1
2
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Citations by publishers
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1
2
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American Institute of Physics (AIP)
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American Institute of Physics (AIP)
2 publications, 25%
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Springer Nature
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Springer Nature
2 publications, 25%
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IOP Publishing
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IOP Publishing
2 publications, 25%
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American Physical Society (APS)
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American Physical Society (APS)
1 publication, 12.5%
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Pleiades Publishing
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Pleiades Publishing
1 publication, 12.5%
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1
2
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Brandyshev P. E., Budkov Y. A. Noether’s second theorem and covariant field theory of mechanical stresses in inhomogeneous ionic liquids // Journal of Chemical Physics. 2023. Vol. 158. No. 17.
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Brandyshev P. E., Budkov Y. A. Noether’s second theorem and covariant field theory of mechanical stresses in inhomogeneous ionic liquids // Journal of Chemical Physics. 2023. Vol. 158. No. 17.
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TY - JOUR
DO - 10.1063/5.0148466
UR - https://doi.org/10.1063%2F5.0148466
TI - Noether’s second theorem and covariant field theory of mechanical stresses in inhomogeneous ionic liquids
T2 - Journal of Chemical Physics
AU - Brandyshev, Petr E.
AU - Budkov, Yury A.
PY - 2023
DA - 2023/05/05 00:00:00
PB - American Institute of Physics (AIP)
IS - 17
VL - 158
SN - 0021-9606
SN - 1089-7690
ER -
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@article{2023_Brandyshev,
author = {Petr E. Brandyshev and Yury A. Budkov},
title = {Noether’s second theorem and covariant field theory of mechanical stresses in inhomogeneous ionic liquids},
journal = {Journal of Chemical Physics},
year = {2023},
volume = {158},
publisher = {American Institute of Physics (AIP)},
month = {may},
url = {https://doi.org/10.1063%2F5.0148466},
number = {17},
doi = {10.1063/5.0148466}
}
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