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dc.contributor.author
Urrutia, Ignacio  
dc.date.available
2024-09-24T11:21:51Z  
dc.date.issued
2008-03  
dc.identifier.citation
Urrutia, Ignacio; Two Hard Spheres in a Spherical Pore: Exact Analytic Results in Two and Three Dimensions; Springer; Journal of Statistical Physics; 131; 4; 3-2008; 597-611  
dc.identifier.issn
0022-4715  
dc.identifier.uri
http://hdl.handle.net/11336/244888  
dc.description.abstract
The partition function and the one- and two-body distribution function are evaluated for two hard spheres with different sizes constrained into a spherical pore. The equivalent problem for hard disks is addressed too. We establish a relation valid for any dimension between these partition functions, second virial coefficient for inhomogeneous systems in a spherical pore, and third virial coefficients for polydisperse hard spheres mixtures. We evaluate the cluster integral $b_{2}(V)$  related with the second virial coefficient for the Hard Disc system into a circular pore. Finally, we analyse the behaviour of the obtained expressions near the maximum density.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Springer  
dc.rights
info:eu-repo/semantics/restrictedAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
Hard Spheres  
dc.subject
Hasd Disks  
dc.subject
Confined systems  
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 Spherical Pore: Exact Analytic Results in Two and Three Dimensions  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2024-09-23T13:58:06Z  
dc.journal.volume
131  
dc.journal.number
4  
dc.journal.pagination
597-611  
dc.journal.pais
Alemania  
dc.journal.ciudad
Berlin  
dc.description.fil
Fil: Urrutia, Ignacio. Comisión Nacional de Energía Atómica; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina  
dc.journal.title
Journal of Statistical Physics  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s10955-008-9513-3