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ID 57463
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Author
Koga, Kenichiro Research Institute for Interdisciplinary Science, Okayama University ORCID Kaken ID
Indekeu, Joseph O. Institute for Theoretical Physics, KU Leuven
Abstract
A mean-field density-functional model for three-phase equilibria in fluids (or other soft condensed matter) with two spatially varying densities is analyzed analytically and numerically. The interfacial tension between any two out of three thermodynamically coexisting phases is found to be captured by a surprisingly simple analytic expression that has a geometric interpretation in the space of the two densities. The analytic expression is based on arguments involving symmetries and invariances. It is supported by numerical computations of high precision, and it agrees with earlier conjectures obtained for special cases in the same model. An application is presented to three-phase equilibria in the vicinity of a tricritical point. Using the interfacial tension expression and employing the field variables compatible with tricritical point scaling, the expected mean-field critical exponent is derived for the vanishing of the critical interfacial tension as a function of the deviation of the noncritical interfacial tension from its limiting value, upon approach to a critical endpoint in the phase diagram. The analytic results are again confirmed by numerical computations of high precision.
Published Date
2019-04-24
Publication Title
Journal of Chemical Physics
Volume
volume150
Issue
issue16
Publisher
American Institute of Physics
Start Page
164701
ISSN
00219606
NCID
AA00694991
Content Type
Journal Article
language
英語
OAI-PMH Set
岡山大学
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author
PubMed ID
DOI
Web of Science KeyUT
Related Url
isVersionOf https://doi.org/10.1063/1.5091599
Funder Name
Japan Society for the Promotion of Science
助成番号
18KK0151 : Understanding solvent-mediated forces with diverse responses to ions, co-solvents, and temperature Research Project
26287099 : Theoretical Study of the Hydrophobic Effect Under Varying Environments
S18131