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Correlation-function structure in square-gradient models of the liquid-gas interface: Exact results and reliable approximations

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Interdisciplinar de Sistemas Complejos (GISC)es
dc.contributor.authorParry, A. O.
dc.contributor.authorRascón, Carlos
dc.contributor.funderEngineering and Physical Sciences Research Council (EPSRC)es
dc.contributor.funderMinisterio de Ciencia, Innovación y Universidades (España)es
dc.date.accessioned2019-08-29T08:42:38Z
dc.date.available2019-08-29T08:42:38Z
dc.date.issued2019-08
dc.description.abstractIn a recent article, we described how the microscopic structure of density-density correlations in the fluid interfacial region, for systems with short-ranged forces, can be understood by considering the resonances of the local structure factor occurring at specific parallel wave vectors q [Nat. Phys. 15, 287 (2019)]. Here we investigate this further by comparing approximations for the local structure factor and pair correlation function against three new examples of analytically solvable models within square-gradient theory. Our analysis further demonstrates that these approximations describe the pair correlation function and structure factor across the whole spectrum of wave vectors, encapsulating the crossover from the Goldstone mode divergence (at small q) to bulklike behavior (at larger q). As shown, these approximations are exact for some square-gradient model potentials and never more than a few percent inaccurate for the others. Additionally, we show that they describe very accurately the correlation function structure for a model describing an interface near a tricritical point. In this case, there are no analytical solutions for the correlation functions, but the approximations are nearly indistinguishable from the numerical solutions of the Ornstein-Zernike equation.en
dc.description.sponsorshipA.O.P. acknowledges the EPSRC, UK, for Grant No. EP/L020564/1 (Multiscale Analysis of Complex Interfacial Phenomena). C.R. acknowledges the support of Grant No. PGC2018-096606-B-I00 (MCIU/AEI/FEDER, UE).es
dc.format.extent12
dc.identifier.bibliographicCitationParry, A. O., Rascón, C. (2019). Correlation-function structure in square-gradient models of the liquid-gas interface: Exact results and reliable approximations. Physical Review E, 100 (2) 02803en
dc.identifier.doihttps://doi.org/10.1103/PhysRevE.100.022803
dc.identifier.issn2470-0053 (online)
dc.identifier.issn2470-0045 (print)
dc.identifier.publicationfirstpage022803-1
dc.identifier.publicationissue2
dc.identifier.publicationlastpage022803-12
dc.identifier.publicationtitlePhysical Review Een
dc.identifier.publicationvolume100
dc.identifier.urihttps://hdl.handle.net/10016/28740
dc.identifier.uxxiAR/0000023928
dc.language.isoeng
dc.publisherAmerican Physical Societyen
dc.relation.projectIDGobierno de España. PGC2018-096606-B-I00
dc.rights© 2019 American Physical Societyen
dc.rights.accessRightsopen access
dc.subject.ecienciaMatemáticases
dc.subject.otherLiquid-Gas Interfacesen
dc.titleCorrelation-function structure in square-gradient models of the liquid-gas interface: Exact results and reliable approximationsen
dc.typeresearch article*
dc.type.hasVersionVoR*
dspace.entity.typePublication
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