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Weighted correlation approach: An extended version with applications to the hard-sphere fluid
KTH, Kemisk apparatteknik.
KTH, Kemisk apparatteknik.ORCID-id: 0000-0001-6801-9208
2012 (Engelska)Ingår i: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, E-ISSN 1550-2376, Vol. 86, nr 3, artikel-id 031115Artikel i tidskrift (Refereegranskat) Published
Abstract [en]

The purpose of this study is to extend the weighted correlation approach (WCA) for inhomogeneous fluids. It now introduces a generic expression to evaluate the single-particle direct correlation function in terms of a series of pair direct correlation functions weighted by different correlation-weight functions and adjustable weight factors. When applied for practical use, however, approximations of the pair direct correlation functions have to be made, together with appropriate definitions of the weighted densities and the choices of the correlation-weight functions. The WCA approach would, then, not only help us to connect and compare different strategies and their underlying assumptions in the density functional approaches, but also enable us to propose and apply density functional theory methods to predict the density profile of, e. g., the hard-sphere fluid confined between a pair of parallel planar hard walls. Numerical results of the extended WCA approach, against the Monte Carlo (MC) simulations in a range of surface separations and bulk densities, suggest that it is capable of representing the fine features of the hard-sphere density distributions. The WCA results also agree well with the calculations from the fundamental measure theory. In addition, the thermodynamic self-consistency of the WCA approach is confirmed by its fairly good agreement with the MC fitted data for the surface tension of a hard-sphere fluid at a planar hard wall. All these tests show that a pure WCA approach can be constructed to investigate the states of ionic hard-sphere fluids.

Ort, förlag, år, upplaga, sidor
2012. Vol. 86, nr 3, artikel-id 031115
Nyckelord [en]
Density-Functional Theory, Electric Double-Layers, Integral-Equation, Primitive-Model, Wall, Simulations, Adsorption, Particles, Interface, Mixtures
Nationell ämneskategori
Fysik
Identifikatorer
URN: urn:nbn:se:hig:diva-26148DOI: 10.1103/PhysRevE.86.031115ISI: 000308587900002Scopus ID: 2-s2.0-84866403125OAI: oai:DiVA.org:hig-26148DiVA, id: diva2:1182536
Forskningsfinansiär
ICT - The Next GenerationTillgänglig från: 2012-10-08 Skapad: 2018-02-13 Senast uppdaterad: 2019-12-12Bibliografiskt granskad
Ingår i avhandling
1. A weighted correlation approach of the density functional theory for an inhomogeneous fluid at an interface
Öppna denna publikation i ny flik eller fönster >>A weighted correlation approach of the density functional theory for an inhomogeneous fluid at an interface
2013 (Engelska)Doktorsavhandling, sammanläggning (Övrigt vetenskapligt)
Abstract [en]

This doctoral thesis presents a newly developed density functional theory (DFT), i.e., the weighted correlation approach (WCA), to study the structural and thermodynamic properties of an inhomogeneous fluid at an interface. The WCA approach provides a generic formulation to evaluate the change of the single-particle direct correlation function in terms of a series of pair direct correlation functions weighted by different correlation-weight functions with adjustable correlation-weight factors. When applied practically, however, an approximation of the pair direct correlation function has to be made, together with appropriate definitions of the weighted densities and the choices of the correlation-weight functions. Despite this seeming complexity, it is shown that the WCA approach can be regarded as a generalization of the classic density functional approaches and this enables us to develop and apply DFT methods in different ways. For demonstration purposes, several implementations of the WCA approach are proposed and applied to predict the density distribution of an inhomogeneous fluid at an interface. The WCA approach is also employed with a novel pressure expression to investigate the inhomogeneous fluid-mediated interaction pressure for different cases. The WCA calculations from the above applications suggest that it is a successful approach for describing the structural and thermodynamic properties of an inhomogeneous fluid at an interface, as compared to the published results of the Monte Carlo simulations, density functional methods and experimental data.

Ort, förlag, år, upplaga, sidor
Stockholm: KTH Royal Institute of Technology, 2013. s. viii, 62
Serie
TRITA-CHE Report, ISSN 1654-1081 ; 2013:9
Nyckelord
inhomogeneous fluid, interface, density functional theory
Nationell ämneskategori
Kemiteknik
Identifikatorer
urn:nbn:se:hig:diva-26145 (URN)978-91-7501-668-9 (ISBN)
Disputation
2013-05-16, Sal D3, Lindstedtsvägen 5, Stockholm, 10:00 (Engelska)
Opponent
Handledare
Projekt
Bentonite Erosion project, Svensk kärnbränslehantering AB (SKB)EC project BELBaR (Bentonite Erosion: effects on the Long term performance of the engineered Barrier and Radionuclide Transport)
Tillgänglig från: 2018-02-14 Skapad: 2018-02-13 Senast uppdaterad: 2018-03-13Bibliografiskt granskad

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Wang, ZhaoLiu, Longcheng

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Totalt: 190 träffar
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