Energy conservation and H theorem for the Enskog-Vlasov equation

Detalhes bibliográficos
Autor(a) principal: Benilov, E. S.
Data de Publicação: 2018
Outros Autores: Benilov, M. S.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.13/4567
Resumo: The Enskog-Vlasov (EV) equation is a widely used semiphenomenological model of gas-liquid phase transitions. We show that it does not generally conserve energy, although there exists a restriction on its coefficients for which it does. Furthermore, if an energy-preserving version of the EV equation satisfies an H theorem as well, it can be used to rigorously derive the so-called Maxwell construction which determines the parameters of liquid-vapor equilibria. Finally, we show that the EV model provides an accurate description of the thermodynamics of noble fluids, and there exists a version simple enough for use in applications.
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spelling Energy conservation and H theorem for the Enskog-Vlasov equationEnergy conservationH theoremEnskog-Vlasov equation.Faculdade de Ciências Exatas e da EngenhariaThe Enskog-Vlasov (EV) equation is a widely used semiphenomenological model of gas-liquid phase transitions. We show that it does not generally conserve energy, although there exists a restriction on its coefficients for which it does. Furthermore, if an energy-preserving version of the EV equation satisfies an H theorem as well, it can be used to rigorously derive the so-called Maxwell construction which determines the parameters of liquid-vapor equilibria. Finally, we show that the EV model provides an accurate description of the thermodynamics of noble fluids, and there exists a version simple enough for use in applications.American Physical SocietyDigitUMaBenilov, E. S.Benilov, M. S.2022-09-06T09:03:11Z2018-01-01T00:00:00Z2018-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.13/4567engBenilov, E. S., & Benilov, M. S. (2018). Energy conservation and H theorem for the Enskog-Vlasov equation. Physical Review E, 97(6), 062115. DOI: 10.1103/physreve.97.06211510.1103/PhysRevE.97.062115info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2022-09-11T03:30:30Zoai:digituma.uma.pt:10400.13/4567Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T15:48:40.350663Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Energy conservation and H theorem for the Enskog-Vlasov equation
title Energy conservation and H theorem for the Enskog-Vlasov equation
spellingShingle Energy conservation and H theorem for the Enskog-Vlasov equation
Benilov, E. S.
Energy conservation
H theorem
Enskog-Vlasov equation
.
Faculdade de Ciências Exatas e da Engenharia
title_short Energy conservation and H theorem for the Enskog-Vlasov equation
title_full Energy conservation and H theorem for the Enskog-Vlasov equation
title_fullStr Energy conservation and H theorem for the Enskog-Vlasov equation
title_full_unstemmed Energy conservation and H theorem for the Enskog-Vlasov equation
title_sort Energy conservation and H theorem for the Enskog-Vlasov equation
author Benilov, E. S.
author_facet Benilov, E. S.
Benilov, M. S.
author_role author
author2 Benilov, M. S.
author2_role author
dc.contributor.none.fl_str_mv DigitUMa
dc.contributor.author.fl_str_mv Benilov, E. S.
Benilov, M. S.
dc.subject.por.fl_str_mv Energy conservation
H theorem
Enskog-Vlasov equation
.
Faculdade de Ciências Exatas e da Engenharia
topic Energy conservation
H theorem
Enskog-Vlasov equation
.
Faculdade de Ciências Exatas e da Engenharia
description The Enskog-Vlasov (EV) equation is a widely used semiphenomenological model of gas-liquid phase transitions. We show that it does not generally conserve energy, although there exists a restriction on its coefficients for which it does. Furthermore, if an energy-preserving version of the EV equation satisfies an H theorem as well, it can be used to rigorously derive the so-called Maxwell construction which determines the parameters of liquid-vapor equilibria. Finally, we show that the EV model provides an accurate description of the thermodynamics of noble fluids, and there exists a version simple enough for use in applications.
publishDate 2018
dc.date.none.fl_str_mv 2018-01-01T00:00:00Z
2018-01-01T00:00:00Z
2022-09-06T09:03:11Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.13/4567
url http://hdl.handle.net/10400.13/4567
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Benilov, E. S., & Benilov, M. S. (2018). Energy conservation and H theorem for the Enskog-Vlasov equation. Physical Review E, 97(6), 062115. DOI: 10.1103/physreve.97.062115
10.1103/PhysRevE.97.062115
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 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:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv
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