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dc.contributor.author
Urrutia, Ignacio
dc.contributor.author
Castelletti, Gabriela Marta
dc.date.available
2023-03-29T11:06:46Z
dc.date.issued
2011-02
dc.identifier.citation
Urrutia, Ignacio; Castelletti, Gabriela Marta; Two interacting particles in a spherical pore; American Institute of Physics; Journal of Chemical Physics; 134; 6; 2-2011; 64508-645019
dc.identifier.issn
0021-9606
dc.identifier.uri
http://hdl.handle.net/11336/191922
dc.description.abstract
In this work we analytically evaluate, for the first time, the exact canonical partition function for two interacting spherical particles into a spherical pore. The interaction with the spherical substrate and between particles is described by an attractive square-well and a square-shoulder potentials. In addition, we obtain exact expressions for both the one particle and an averaged two particle density distribution. We develop a thermodynamic approach to few-body systems by introducing a method based on thermodynamic measures [Urrutia, J. Chem. Phys. 133, 104503 (2010) ] for nonhard interaction potentials. This analysis enable us to obtain expressions for the pressure, the surface tension, and the equivalent magnitudes for the total and Gaussian curvatures. As a by product, we solve systems composed of two particles outside a fixed spherical obstacle. We study the low density limit for a many-body system confined to a spherical cavity and a many-body system surrounding a spherical obstacle. From this analysis we derive the exact first order dependence of the surface tension and Tolman length. Our findings show that the Tolman length goes to zero in the case of a purely hard-wall spherical substrate, but contains a zero order term in density for square-well and square-shoulder wall-fluid potentials. This suggests that any nonhard wall-fluid potential should produce a non-null zero order term in the Tolman length.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
American Institute of Physics
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
few bodies
dc.subject
inhomogeneous fluids
dc.subject
confined fluids
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exact results
dc.subject.classification
Física de los Materiales Condensados
dc.subject.classification
Ciencias Físicas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Two interacting particles in a spherical pore
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2023-03-28T14:14:17Z
dc.journal.volume
134
dc.journal.number
6
dc.journal.pagination
64508-645019
dc.journal.pais
Estados Unidos
dc.description.fil
Fil: Urrutia, Ignacio. Comisión Nacional de Energía Atómica; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
dc.description.fil
Fil: Castelletti, Gabriela Marta. Consejo Nacional de Investigaciónes Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Astronomía y Física del Espacio. - Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Astronomía y Física del Espacio; Argentina
dc.journal.title
Journal of Chemical Physics
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1063/1.3544681
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