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dc.contributor.author
Rohrmann, Rene Daniel
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dc.contributor.author
Robles, Miguel
dc.contributor.author
López De Haro, Mariano
dc.contributor.author
Santos, Andrés
dc.date.available
2023-10-03T02:05:13Z
dc.date.issued
2008-07
dc.identifier.citation
Rohrmann, Rene Daniel; Robles, Miguel; López De Haro, Mariano; Santos, Andrés; Virial series for fluids of hard hyperspheres in odd dimensions; American Institute of Physics; Journal of Chemical Physics; 129; 1; 7-2008; 1-8
dc.identifier.issn
0021-9606
dc.identifier.uri
http://hdl.handle.net/11336/213850
dc.description.abstract
A recently derived method [R. D. Rohrmann and A. Santos, Phys. Rev. E 76, 051202 (2007)] to obtain the exact solution of the Percus-Yevick equation for a fluid of hard spheres in (odd) d dimensions is used to investigate the convergence properties of the resulting virial series. This is done both for the virial and compressibility routes, in which the virial coefficients Bj are expressed in terms of the solution of a set of (d-1) /2 coupled algebraic equations which become nonlinear for d5. Results have been derived up to d=13. A confirmation of the alternating character of the series for d5, due to the existence of a branch point on the negative real axis, is found and the radius of convergence is explicitly determined for each dimension. The resulting scaled density per dimension 2 1/d, where is the packing fraction, is wholly consistent with the limiting value of 1 for d→∞. Finally, the values for Bj predicted by the virial and compressibility routes in the Percus-Yevick approximation are compared with the known exact values [N. Clisby and B. M. McCoy, J. Stat. Phys. 122, 15 (2006)].
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
FLUIDS
dc.subject
VIRIAL
dc.subject
HYPERSPHERES
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
Virial series for fluids of hard hyperspheres in odd 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
2023-07-07T20:32:38Z
dc.journal.volume
129
dc.journal.number
1
dc.journal.pagination
1-8
dc.journal.pais
Estados Unidos
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dc.journal.ciudad
New York
dc.description.fil
Fil: Rohrmann, Rene Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Juan. Instituto de Ciencias Astronómicas, de la Tierra y del Espacio. Universidad Nacional de San Juan. Instituto de Ciencias Astronómicas, de la Tierra y del Espacio; Argentina
dc.description.fil
Fil: Robles, Miguel. Universidad Nacional Autónoma de México; México
dc.description.fil
Fil: López De Haro, Mariano. Universidad Nacional Autónoma de México; México
dc.description.fil
Fil: Santos, Andrés. Universidad de Extremadura; España
dc.journal.title
Journal of Chemical Physics
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://pubs.aip.org/aip/jcp/article-abstract/129/1/014510/829414/Virial-series-for-fluids-of-hard-hyperspheres-in?redirectedFrom=fulltext
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1063/1.2951456
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