Equation of state for five-dimensional hyperspheres from the chemical-potential route

Autores
Rohrmann, Rene Daniel; Santos, Andres
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We use the Percus-Yevick approach in the chemical-potential route to evaluate the equation of state of hard hyperspheres in five dimensions. The evaluation requires the derivation of an analytical expression for the contact value of the pair distribution function between particles of the bulk fluid and a solute particle with arbitrary size. The equation of state is compared with those obtained from the conventional virial and compressibility thermodynamic routes and the associated virial coefficients are computed. The pressure calculated from all routes is exact up to third density order, but it deviates with respect to simulation data as density increases, the compressibility and the chemical-potential routes exhibiting smaller deviations than the virial route. Accurate linear interpolations between the compressibility route and either the chemical-potential route or the virial one are constructed.
Fil: Rohrmann, Rene Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Cientifico Tecnológico San Juan. Instituto de Ciencias Astronómicas de la Tierra y del Espacio; Argentina
Fil: Santos, Andres. Universidad de Extremadura. Departamento de Física; España. Instituto de Computacion Científica Avanzada; España
Materia
Statistical Mechanics
Fluids
Thermodynamics
Equation of States
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:11336/4869
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/4869
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Equation of state for five-dimensional hyperspheres from the chemical-potential routeRohrmann, Rene DanielSantos, AndresStatistical MechanicsFluidsThermodynamicsEquation of Stateshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We use the Percus-Yevick approach in the chemical-potential route to evaluate the equation of state of hard hyperspheres in five dimensions. The evaluation requires the derivation of an analytical expression for the contact value of the pair distribution function between particles of the bulk fluid and a solute particle with arbitrary size. The equation of state is compared with those obtained from the conventional virial and compressibility thermodynamic routes and the associated virial coefficients are computed. The pressure calculated from all routes is exact up to third density order, but it deviates with respect to simulation data as density increases, the compressibility and the chemical-potential routes exhibiting smaller deviations than the virial route. Accurate linear interpolations between the compressibility route and either the chemical-potential route or the virial one are constructed.Fil: Rohrmann, Rene Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Cientifico Tecnológico San Juan. Instituto de Ciencias Astronómicas de la Tierra y del Espacio; ArgentinaFil: Santos, Andres. Universidad de Extremadura. Departamento de Física; España. Instituto de Computacion Científica Avanzada; EspañaAmerican Physical Society2015-08info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/4869Rohrmann, Rene Daniel; Santos, Andres; Equation of state for five-dimensional hyperspheres from the chemical-potential route; American Physical Society; Physical Review E: Statistical Physics, Plasmas, Fluids and Related Interdisciplinary Topics; 92; 2; 8-2015; 022303-0223032470-0045enginfo:eu-repo/semantics/altIdentifier/url/http://journals.aps.org/pre/abstract/10.1103/PhysRevE.92.022303info:eu-repo/semantics/altIdentifier/doi/info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.92.022303info:eu-repo/semantics/altIdentifier/arxiv/1506.06694info:eu-repo/semantics/altIdentifier/url/http://arxiv.org/abs/1506.06694info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:15:19Zoai:ri.conicet.gov.ar:11336/4869instacron: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:34982025-09-29 10:15:19.609CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Equation of state for five-dimensional hyperspheres from the chemical-potential route
title Equation of state for five-dimensional hyperspheres from the chemical-potential route
spellingShingle Equation of state for five-dimensional hyperspheres from the chemical-potential route
Rohrmann, Rene Daniel
Statistical Mechanics
Fluids
Thermodynamics
Equation of States
title_short Equation of state for five-dimensional hyperspheres from the chemical-potential route
title_full Equation of state for five-dimensional hyperspheres from the chemical-potential route
title_fullStr Equation of state for five-dimensional hyperspheres from the chemical-potential route
title_full_unstemmed Equation of state for five-dimensional hyperspheres from the chemical-potential route
title_sort Equation of state for five-dimensional hyperspheres from the chemical-potential route
dc.creator.none.fl_str_mv Rohrmann, Rene Daniel
Santos, Andres
author Rohrmann, Rene Daniel
author_facet Rohrmann, Rene Daniel
Santos, Andres
author_role author
author2 Santos, Andres
author2_role author
dc.subject.none.fl_str_mv Statistical Mechanics
Fluids
Thermodynamics
Equation of States
topic Statistical Mechanics
Fluids
Thermodynamics
Equation of States
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We use the Percus-Yevick approach in the chemical-potential route to evaluate the equation of state of hard hyperspheres in five dimensions. The evaluation requires the derivation of an analytical expression for the contact value of the pair distribution function between particles of the bulk fluid and a solute particle with arbitrary size. The equation of state is compared with those obtained from the conventional virial and compressibility thermodynamic routes and the associated virial coefficients are computed. The pressure calculated from all routes is exact up to third density order, but it deviates with respect to simulation data as density increases, the compressibility and the chemical-potential routes exhibiting smaller deviations than the virial route. Accurate linear interpolations between the compressibility route and either the chemical-potential route or the virial one are constructed.
Fil: Rohrmann, Rene Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Cientifico Tecnológico San Juan. Instituto de Ciencias Astronómicas de la Tierra y del Espacio; Argentina
Fil: Santos, Andres. Universidad de Extremadura. Departamento de Física; España. Instituto de Computacion Científica Avanzada; España
description We use the Percus-Yevick approach in the chemical-potential route to evaluate the equation of state of hard hyperspheres in five dimensions. The evaluation requires the derivation of an analytical expression for the contact value of the pair distribution function between particles of the bulk fluid and a solute particle with arbitrary size. The equation of state is compared with those obtained from the conventional virial and compressibility thermodynamic routes and the associated virial coefficients are computed. The pressure calculated from all routes is exact up to third density order, but it deviates with respect to simulation data as density increases, the compressibility and the chemical-potential routes exhibiting smaller deviations than the virial route. Accurate linear interpolations between the compressibility route and either the chemical-potential route or the virial one are constructed.
publishDate 2015
dc.date.none.fl_str_mv 2015-08
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/11336/4869
Rohrmann, Rene Daniel; Santos, Andres; Equation of state for five-dimensional hyperspheres from the chemical-potential route; American Physical Society; Physical Review E: Statistical Physics, Plasmas, Fluids and Related Interdisciplinary Topics; 92; 2; 8-2015; 022303-022303
2470-0045
url http://hdl.handle.net/11336/4869
identifier_str_mv Rohrmann, Rene Daniel; Santos, Andres; Equation of state for five-dimensional hyperspheres from the chemical-potential route; American Physical Society; Physical Review E: Statistical Physics, Plasmas, Fluids and Related Interdisciplinary Topics; 92; 2; 8-2015; 022303-022303
2470-0045
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://journals.aps.org/pre/abstract/10.1103/PhysRevE.92.022303
info:eu-repo/semantics/altIdentifier/doi/
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.92.022303
info:eu-repo/semantics/altIdentifier/arxiv/1506.06694
info:eu-repo/semantics/altIdentifier/url/http://arxiv.org/abs/1506.06694
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
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
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score 13.070432

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