Curvature corrections to the nonlocal interfacial model for short-ranged forces

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Title: Curvature corrections to the nonlocal interfacial model for short-ranged forces
Authors: Romero-Enrique, JM
Squarcini, A
Parry, AO
Goldbart, PM
Item Type: Journal Article
Abstract: In this paper we revisit the derivation of a nonlocal interfac ial Hamiltonian model for systems with short-ranged intermolecular forces. Starting from a micro scopic Landau-Ginzburg-Wilson Hamilto- nian with a double parabola potential, we reformulate the de rivation of the interfacial model using a rigorous boundary integral approach. This is done for thre e scenarios: a single fluid phase in contact with a nonplanar substrate (i.e., wall); a free inte rface separating coexisting fluid phases (say, liquid and gas); and finally a liquid-gas interface in con tact with a nonplanar confining wall, as is applicable to wetting phenomena. For the first two cases our approaches identifies the correct form of the curvature corrections to the free energy and, for the case of a free interface, it allows us to recast these as an interfacial self-interaction as conje ctured previously in the literature. When the interface is in contact with a substrate our approach sim ilarly identifies curvature corrections to the nonlocal binding potential, describing the interact ion of the interface and wall, for which we propose a generalized and improved diagrammatic formulati on.
Issue Date: 25-Jun-2018
Date of Acceptance: 31-May-2018
ISSN: 1539-3755
Publisher: American Physical Society
Journal / Book Title: Physical Review E
Copyright Statement: This paper is embargoed until publication.
Sponsor/Funder: Engineering & Physical Science Research Council (EPSRC)
Funder's Grant Number: EP/L020564/1
Keywords: 01 Mathematical Sciences
02 Physical Sciences
09 Engineering
Fluids & Plasmas
Publication Status: Accepted
Embargo Date: publication subject to indefinite embargo
Appears in Collections:Mathematics
Applied Mathematics and Mathematical Physics
Faculty of Natural Sciences

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