Nanoscale hydrodynamics near solids
Entity
UAM. Departamento de Física Teórica de la Materia CondensadaPublisher
American Institute of Physics Inc.Date
2018-02-12Citation
10.1063/1.5010401
The Journal of Chemical Physics 148.6 (2018): 064107
ISSN
0021-9606 (print); 1089-7690 (online)DOI
10.1063/1.5010401Funded by
This research is supported by the Ministerio de Economía y Competitividad of Spain (MINECO) under Grant Nos. FIS2013-47350-C5-1-R and FIS2013-47350-C5-3-RProject
Gobierno de España. FIS2013-47350-C5-1-R; Gobierno de España. FIS2013-47350-C5-3-REditor's Version
https://doi.org/10.1063/1.5010401Subjects
Operator theory; Hydrodynamics; Colloidal systems; Complex fluids; Free energy; Entropy; Density functional theory; Thermodynamics properties; Statistical thermodynamics; FísicaNote
This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in The Journal of Chemical Physics 148 (2018): 064107, and may be found at https://aip.scitation.org/doi/10.1063/1.5010401Rights
© 2018 Author(s)Abstract
Density Functional Theory (DFT) is a successful and well-established theory for the study of the structure of simple and complex fluids at equilibrium. The theory has been generalized to dynamical situations when the underlying dynamics is diffusive as in, for example, colloidal systems. However, there is no such a clear foundation for Dynamic DFT (DDFT) for the case of simple fluids in contact with solid walls. In this work, we derive DDFT for simple fluids by including not only the mass density field but also the momentum density field of the fluid. The standard projection operator method based on the Kawasaki-Gunton operator is used for deriving the equations for the average value of these fields. The solid is described as featureless under the assumption that all the internal degrees of freedom of the solid relax much faster than those of the fluid (solid elasticity is irrelevant). The fluid moves according to a set of non-local hydrodynamic equations that include explicitly the forces due to the solid. These forces are of two types, reversible forces emerging from the free energy density functional, and accounting for impenetrability of the solid, and irreversible forces that involve the velocity of both the fluid and the solid. These forces are localized in the vicinity of the solid surface. The resulting hydrodynamic equations should allow one to study dynamical regimes of simple fluids in contact with solid objects in isothermal situations
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Google Scholar:De La Torre, J. A.
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Duque-Zumajo, D.
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Español, Pep
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Delgado Buscalioni, Rafael
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Chejne, Farid
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Camargo, Diego
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