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

Physical Review. E
José M Romero-EnriquePaul M Goldbart

Abstract

In this paper we revisit the derivation of a nonlocal interfacial Hamiltonian model for systems with short-ranged intermolecular forces. Starting from a microscopic Landau-Ginzburg-Wilson Hamiltonian with a double-parabola potential, we reformulate the derivation of the interfacial model using a rigorous boundary integral approach. This is done for three scenarios: a single fluid phase in contact with a nonplanar substrate (i.e., wall); a free interface separating coexisting fluid phases (say, liquid and gas); and finally a liquid-gas interface in contact 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 conjectured previously in the literature. When the interface is in contact with a substrate our approach similarly identifies curvature corrections to the nonlocal binding potential, describing the interaction of the interface and wall, for which we propose a generalized and improved diagrammatic formulation.

References

Nov 1, 1973·Zeitschrift Für Naturforschung. Teil C: Biochemie, Biophysik, Biologie, Virologie·W Helfrich
Jul 1, 1985·Physical Review. B, Condensed Matter·D S Fisher, D A Huse
Jul 15, 1991·Physical Review. B, Condensed Matter·M E Fisher, A J Jin
Mar 15, 1993·Physical Review. B, Condensed Matter·A J Jin, M E Fisher
Jul 15, 1993·Physical Review. B, Condensed Matter·A J Jin, M E Fisher
May 26, 1986·Physical Review Letters·K BinderD M Kroll
Aug 3, 1992·Physical Review Letters·M E Fisher, A J Jin
Sep 16, 2000·Physical Review Letters·A O ParryA J Wood
Apr 24, 2002·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·K R Mecke, S Dietrich
Nov 13, 2003·Physical Review Letters·E Chacón, P Tarazona
Sep 28, 2004·Physical Review Letters·A O ParryA Lazarides
Nov 5, 2004·Physical Review Letters·P-M KönigK R Mecke
May 6, 2006·The Journal of Chemical Physics·A O ParryL Morgan
Jul 26, 2006·The Journal of Chemical Physics·Enrique ChacónJosé Alejandre
Jun 4, 2008·Physical Review Letters·A O ParryJ M Romero-Enrique
Oct 15, 2008·Physical Review Letters·R Delgado-BuscalioniP Tarazona
Mar 17, 2011·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Andrew O Parry, Carlos Rascón
Jul 19, 2006·Journal of Physics. Condensed Matter : an Institute of Physics Journal·A O ParryJ M Romero-Enrique
Nov 18, 2009·Journal of Physics. Condensed Matter : an Institute of Physics Journal·N R BernardinoJ M Romero-Enrique
Jun 29, 2012·Journal of Physics. Condensed Matter : an Institute of Physics Journal·P TarazonaF Bresme
Mar 19, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Edgar M Blokhuis
Sep 17, 2013·Physical Review Letters·Eva M FernándezCarlos Rascón
Oct 16, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Paweł Bryk, Kurt Binder
Aug 12, 2014·Journal of Physics. Condensed Matter : an Institute of Physics Journal·A O ParryR Evans
Aug 26, 2014·Physical Review Letters·Gesualdo Delfino, Alessio Squarcini
Jul 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Eva M FernándezPedro Tarazona
Apr 27, 2016·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Enrique Chacón, Pedro Tarazona
Jan 14, 2017·Physical Review. E·Jose Hernández-MuñozPedro Tarazona
Oct 17, 2007·Journal of Physics. Condensed Matter : an Institute of Physics Journal·A O ParryJ M Romero-Enrique

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