Structure of hard-hypersphere fluids in odd dimensions

Autores
Rohrmann, Rene Daniel; Santos, Andrés
Año de publicación
2007
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The structural properties of single component fluids of hard hyperspheres in odd space dimensionalities d are studied with an analytical approximation method that generalizes the rational function approximation earlier introduced in the study of hard-sphere fluids. The theory makes use of the exact form of the radial distribution function to first order in density and extends it to finite density by assuming a rational form for a function defined in Laplace space, the coefficients being determined by simple physical requirements. Fourier transform in terms of reverse Bessel polynomials constitute the mathematical framework of this approximation, from which an analytical expression for the static structure factor is obtained. In its most elementary form, the method recovers the solution of the Percus-Yevick closure to the Ornstein-Zernike equation for hyperspheres at odd dimensions. The present formalism allows one to go beyond by yielding solutions with thermodynamic consistency between the virial and compressibility routes to any desired equation of state. Excellent agreement with available computer simulation data at d=5 and d=7 is obtained.
Fil: Rohrmann, Rene Daniel. Universidad de Extremadura; España. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Santos, Andrés. Universidad de Extremadura; España
Materia
FLUIDS
STATISTICS
STRUCTURE
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:11336/213853
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Structure of hard-hypersphere fluids in odd dimensionsRohrmann, Rene DanielSantos, AndrésFLUIDSSTATISTICSSTRUCTUREHYPERSPHEREShttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1The structural properties of single component fluids of hard hyperspheres in odd space dimensionalities d are studied with an analytical approximation method that generalizes the rational function approximation earlier introduced in the study of hard-sphere fluids. The theory makes use of the exact form of the radial distribution function to first order in density and extends it to finite density by assuming a rational form for a function defined in Laplace space, the coefficients being determined by simple physical requirements. Fourier transform in terms of reverse Bessel polynomials constitute the mathematical framework of this approximation, from which an analytical expression for the static structure factor is obtained. In its most elementary form, the method recovers the solution of the Percus-Yevick closure to the Ornstein-Zernike equation for hyperspheres at odd dimensions. The present formalism allows one to go beyond by yielding solutions with thermodynamic consistency between the virial and compressibility routes to any desired equation of state. Excellent agreement with available computer simulation data at d=5 and d=7 is obtained.Fil: Rohrmann, Rene Daniel. Universidad de Extremadura; España. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Santos, Andrés. Universidad de Extremadura; EspañaAmerican Physical Society2007-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/213853Rohrmann, Rene Daniel; Santos, Andrés; Structure of hard-hypersphere fluids in odd dimensions; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 76; 5; 11-2007; 1-171539-3755CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pre/abstract/10.1103/PhysRevE.76.051202info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.76.051202info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:43:17Zoai:ri.conicet.gov.ar:11336/213853instacron: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 09:43:18.094CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Structure of hard-hypersphere fluids in odd dimensions
title Structure of hard-hypersphere fluids in odd dimensions
spellingShingle Structure of hard-hypersphere fluids in odd dimensions
Rohrmann, Rene Daniel
FLUIDS
STATISTICS
STRUCTURE
HYPERSPHERES
title_short Structure of hard-hypersphere fluids in odd dimensions
title_full Structure of hard-hypersphere fluids in odd dimensions
title_fullStr Structure of hard-hypersphere fluids in odd dimensions
title_full_unstemmed Structure of hard-hypersphere fluids in odd dimensions
title_sort Structure of hard-hypersphere fluids in odd dimensions
dc.creator.none.fl_str_mv Rohrmann, Rene Daniel
Santos, Andrés
author Rohrmann, Rene Daniel
author_facet Rohrmann, Rene Daniel
Santos, Andrés
author_role author
author2 Santos, Andrés
author2_role author
dc.subject.none.fl_str_mv FLUIDS
STATISTICS
STRUCTURE
HYPERSPHERES
topic FLUIDS
STATISTICS
STRUCTURE
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 The structural properties of single component fluids of hard hyperspheres in odd space dimensionalities d are studied with an analytical approximation method that generalizes the rational function approximation earlier introduced in the study of hard-sphere fluids. The theory makes use of the exact form of the radial distribution function to first order in density and extends it to finite density by assuming a rational form for a function defined in Laplace space, the coefficients being determined by simple physical requirements. Fourier transform in terms of reverse Bessel polynomials constitute the mathematical framework of this approximation, from which an analytical expression for the static structure factor is obtained. In its most elementary form, the method recovers the solution of the Percus-Yevick closure to the Ornstein-Zernike equation for hyperspheres at odd dimensions. The present formalism allows one to go beyond by yielding solutions with thermodynamic consistency between the virial and compressibility routes to any desired equation of state. Excellent agreement with available computer simulation data at d=5 and d=7 is obtained.
Fil: Rohrmann, Rene Daniel. Universidad de Extremadura; España. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Santos, Andrés. Universidad de Extremadura; España
description The structural properties of single component fluids of hard hyperspheres in odd space dimensionalities d are studied with an analytical approximation method that generalizes the rational function approximation earlier introduced in the study of hard-sphere fluids. The theory makes use of the exact form of the radial distribution function to first order in density and extends it to finite density by assuming a rational form for a function defined in Laplace space, the coefficients being determined by simple physical requirements. Fourier transform in terms of reverse Bessel polynomials constitute the mathematical framework of this approximation, from which an analytical expression for the static structure factor is obtained. In its most elementary form, the method recovers the solution of the Percus-Yevick closure to the Ornstein-Zernike equation for hyperspheres at odd dimensions. The present formalism allows one to go beyond by yielding solutions with thermodynamic consistency between the virial and compressibility routes to any desired equation of state. Excellent agreement with available computer simulation data at d=5 and d=7 is obtained.
publishDate 2007
dc.date.none.fl_str_mv 2007-11
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/11336/213853
Rohrmann, Rene Daniel; Santos, Andrés; Structure of hard-hypersphere fluids in odd dimensions; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 76; 5; 11-2007; 1-17
1539-3755
CONICET Digital
CONICET
url http://hdl.handle.net/11336/213853
identifier_str_mv Rohrmann, Rene Daniel; Santos, Andrés; Structure of hard-hypersphere fluids in odd dimensions; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 76; 5; 11-2007; 1-17
1539-3755
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://journals.aps.org/pre/abstract/10.1103/PhysRevE.76.051202
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.76.051202
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 Physical Society
publisher.none.fl_str_mv American Physical Society
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
_version_ 1842268592341516288
score 13.13397

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