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dc.contributor.author
Urrutia, Ignacio
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dc.date.available
2019-11-20T23:05:53Z
dc.date.issued
2014-03
dc.identifier.citation
Urrutia, Ignacio; Bending rigidity and higher-order curvature terms for the hard-sphere fluid near a curved wall; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 89; 3; 3-2014; 32122-32133
dc.identifier.issn
1539-3755
dc.identifier.uri
http://hdl.handle.net/11336/89351
dc.description.abstract
In this work I derive analytic expressions for the curvature-dependent fluid-substrate surface tension of a hard-sphere fluid on a hard curved wall. In the first step, the curvature thermodynamic properties are found as truncated power series in the activity in terms of the exactly known second- and third-order cluster integrals of the hard-sphere fluid near spherical and cylindrical walls. These results are then expressed as packing fraction power series and transformed to different reference regions, which is equivalent to considering different positions of the dividing surface. Based on the truncated series it is shown that the bending rigidity of the system is non-null and that higher-order terms in the curvature also exist. In the second step, approximate analytic expressions for the surface tension, the Tolman length, the bending rigidity, and the Gaussian rigidity as functions of the packing fraction are found by considering the known terms of the series expansion complemented with a simple fitting approach. It is found that the obtained formulas accurately describe the curvature thermodynamic properties of the system; further, they are more accurate than any previously published expressions.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
American Physical Society
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dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Esferas duras
dc.subject
Termodinámnica con curvatura
dc.subject
Interfases
dc.subject
Fluidos inhomogéneos
dc.subject.classification
Física de los Materiales Condensados
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dc.subject.classification
Ciencias Físicas
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dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
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dc.title
Bending rigidity and higher-order curvature terms for the hard-sphere fluid near a curved wall
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2019-10-28T14:30:37Z
dc.journal.volume
89
dc.journal.number
3
dc.journal.pagination
32122-32133
dc.journal.pais
Estados Unidos
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dc.journal.ciudad
Nueva York
dc.description.fil
Fil: Urrutia, Ignacio. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Constituyentes. Gerencia de Investigación y Aplicaciones; Argentina
dc.journal.title
Physical Review E: Statistical, Nonlinear and Soft Matter Physics
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dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://link.aps.org/doi/10.1103/PhysRevE.89.032122
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1103/PhysRevE.89.032122
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