Virial series for fluids of hard hyperspheres in odd dimensions

Autores
Rohrmann, Rene Daniel; Robles, Miguel; López De Haro, Mariano; Santos, Andrés
Año de publicación
2008
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
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)].
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
Fil: Robles, Miguel. Universidad Nacional Autónoma de México; México
Fil: López De Haro, Mariano. Universidad Nacional Autónoma de México; México
Fil: Santos, Andrés. Universidad de Extremadura; España
Materia
FLUIDS
VIRIAL
HYPERSPHERES
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/213850
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Virial series for fluids of hard hyperspheres in odd dimensionsRohrmann, Rene DanielRobles, MiguelLópez De Haro, MarianoSantos, AndrésFLUIDSVIRIALHYPERSPHEREShttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1A 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)].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; ArgentinaFil: Robles, Miguel. Universidad Nacional Autónoma de México; MéxicoFil: López De Haro, Mariano. Universidad Nacional Autónoma de México; MéxicoFil: Santos, Andrés. Universidad de Extremadura; EspañaAmerican Institute of Physics2008-07info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/213850Rohrmann, 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; 1-80021-9606CONICET DigitalCONICETenginfo: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=fulltextinfo:eu-repo/semantics/altIdentifier/doi/10.1063/1.2951456info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T10:06:16Zoai:ri.conicet.gov.ar:11336/213850instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-03 10:06:16.418CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Virial series for fluids of hard hyperspheres in odd dimensions
title Virial series for fluids of hard hyperspheres in odd dimensions
spellingShingle Virial series for fluids of hard hyperspheres in odd dimensions
Rohrmann, Rene Daniel
FLUIDS
VIRIAL
HYPERSPHERES
title_short Virial series for fluids of hard hyperspheres in odd dimensions
title_full Virial series for fluids of hard hyperspheres in odd dimensions
title_fullStr Virial series for fluids of hard hyperspheres in odd dimensions
title_full_unstemmed Virial series for fluids of hard hyperspheres in odd dimensions
title_sort Virial series for fluids of hard hyperspheres in odd dimensions
dc.creator.none.fl_str_mv Rohrmann, Rene Daniel
Robles, Miguel
López De Haro, Mariano
Santos, Andrés
author Rohrmann, Rene Daniel
author_facet Rohrmann, Rene Daniel
Robles, Miguel
López De Haro, Mariano
Santos, Andrés
author_role author
author2 Robles, Miguel
López De Haro, Mariano
Santos, Andrés
author2_role author
author
author
dc.subject.none.fl_str_mv FLUIDS
VIRIAL
HYPERSPHERES
topic FLUIDS
VIRIAL
HYPERSPHERES
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv 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)].
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
Fil: Robles, Miguel. Universidad Nacional Autónoma de México; México
Fil: López De Haro, Mariano. Universidad Nacional Autónoma de México; México
Fil: Santos, Andrés. Universidad de Extremadura; España
description 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)].
publishDate 2008
dc.date.none.fl_str_mv 2008-07
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/213850
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
0021-9606
CONICET Digital
CONICET
url http://hdl.handle.net/11336/213850
identifier_str_mv 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
0021-9606
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 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
info:eu-repo/semantics/altIdentifier/doi/10.1063/1.2951456
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv American Institute of Physics
publisher.none.fl_str_mv American Institute of Physics
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.13397

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