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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/89351
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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 |
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CONICET Digital (CONICET) |
collection |
CONICET Digital (CONICET) |
instname_str |
Consejo Nacional de Investigaciones Científicas y Técnicas |
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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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1844614435263479808 |
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13.070432 |