Bending rigidity and higher-order curvature terms for the hard-sphere fluid near a curved wall

Autores
Urrutia, Ignacio
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
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.
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
Materia
Esferas duras
Termodinámnica con curvatura
Interfases
Fluidos inhomogéneos
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/89351

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spelling Bending rigidity and higher-order curvature terms for the hard-sphere fluid near a curved wallUrrutia, IgnacioEsferas durasTermodinámnica con curvaturaInterfasesFluidos inhomogéneoshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1In 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.Fil: Urrutia, Ignacio. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Constituyentes. Gerencia de Investigación y Aplicaciones; ArgentinaAmerican Physical Society2014-03info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/89351Urrutia, 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; 32122-321331539-3755CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://link.aps.org/doi/10.1103/PhysRevE.89.032122info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.89.032122info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:40:39Zoai:ri.conicet.gov.ar:11336/89351instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:40:39.494CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Bending rigidity and higher-order curvature terms for the hard-sphere fluid near a curved wall
title Bending rigidity and higher-order curvature terms for the hard-sphere fluid near a curved wall
spellingShingle Bending rigidity and higher-order curvature terms for the hard-sphere fluid near a curved wall
Urrutia, Ignacio
Esferas duras
Termodinámnica con curvatura
Interfases
Fluidos inhomogéneos
title_short Bending rigidity and higher-order curvature terms for the hard-sphere fluid near a curved wall
title_full Bending rigidity and higher-order curvature terms for the hard-sphere fluid near a curved wall
title_fullStr Bending rigidity and higher-order curvature terms for the hard-sphere fluid near a curved wall
title_full_unstemmed Bending rigidity and higher-order curvature terms for the hard-sphere fluid near a curved wall
title_sort Bending rigidity and higher-order curvature terms for the hard-sphere fluid near a curved wall
dc.creator.none.fl_str_mv Urrutia, Ignacio
author Urrutia, Ignacio
author_facet Urrutia, Ignacio
author_role author
dc.subject.none.fl_str_mv Esferas duras
Termodinámnica con curvatura
Interfases
Fluidos inhomogéneos
topic Esferas duras
Termodinámnica con curvatura
Interfases
Fluidos inhomogéneos
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv 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.
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
description 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.
publishDate 2014
dc.date.none.fl_str_mv 2014-03
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/89351
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
1539-3755
CONICET Digital
CONICET
url http://hdl.handle.net/11336/89351
identifier_str_mv 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
1539-3755
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://link.aps.org/doi/10.1103/PhysRevE.89.032122
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.89.032122
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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