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dc.contributor.author
Urrutia, Ignacio  
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  
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  
dc.subject.classification
Ciencias Físicas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
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  
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  
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