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dc.contributor.author
Urrutia, Ignacio
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dc.date.available
2023-03-10T10:23:27Z
dc.date.issued
2010-09
dc.identifier.citation
Urrutia, Ignacio; Two hard spheres in a pore: Exact statistical mechanics for different shaped cavities; American Institute of Physics; Journal of Chemical Physics; 133; 10; 9-2010; 1-26
dc.identifier.issn
0021-9606
dc.identifier.uri
http://hdl.handle.net/11336/190137
dc.description.abstract
The partition function of two hard spheres in a hard-wall pore is studied, appealing to a graph representation. The exact evaluation of the canonical partition function and the one-body distribution function in three different shaped pores are achieved. The analyzed simple geometries are the cuboidal, cylindrical, and ellipsoidal cavities. Results have been compared with two previously studied geometries; the spherical pore and the spherical pore with a hard core. The search of common features in the analytic structure of the partition functions in terms of their length parameters and their volumes, surface area, edges length, and curvatures is addressed too. A general framework for the exact thermodynamic analysis of systems with few and many particles in terms of a set of thermodynamic measures is discussed. We found that an exact thermodynamic description is feasible based on the adoption of an adequate set of measures and the search of the free energy dependence on the adopted measure set. A relation similar to the Laplace equation for the fluid-vapor interface is obtained, which expresses the equilibrium between magnitudes that in extended systems are intensive variables. This exact description is applied to study the thermodynamic behavior of the two hard spheres in a hard-wall pore for the analyzed different geometries. We obtain analytically the external reversible work, the pressure on the wall, the pressure in the homogeneous region, the wall-fluid surface tension, the line tension, and other similar properties.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
American Institute of Physics
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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
SURFACE TENSION
dc.subject
FEW BODIES
dc.subject
EXACT RESULTS
dc.subject
THERMODYNAMICS
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
Two hard spheres in a pore: Exact statistical mechanics for different shaped cavities
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2023-03-07T11:25:23Z
dc.journal.volume
133
dc.journal.number
10
dc.journal.pagination
1-26
dc.journal.pais
Estados Unidos
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dc.description.fil
Fil: Urrutia, Ignacio. Universidad de Buenos Aires; Argentina. Comisión Nacional de Energía Atómica; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
dc.journal.title
Journal of Chemical Physics
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dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://aip.scitation.org/doi/10.1063/1.3469773
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1063/1.3469773
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