What is the mathematical meaning of Steenbeck's principle of minimum power in gas discharge physics?

Detalhes bibliográficos
Autor(a) principal: Benilov, M. S.
Data de Publicação: 2010
Outros Autores: Naidis, G. V.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.13/4534
Resumo: It is shown that Steenbeck’s principle of minimum power, or voltage, for discharges with fixed current is not a corollary of the principle of minimum entropy production, in contrast to what is frequently assumed; besides, the latter principle itself does not provide a reasonable approximation in gas discharge physics. Similarly, Steenbeck’s principle is not a corollary of mathematical models of gas discharges. Hence, this principle contradicts the mathematical models. A methodically correct evaluation of the error caused by the use of Steenbeck’s principle requires a comparison of a solution obtained with the use of this principle with an exact solution to the same problem, rather than with experimental results or results deemed reasonable from the point of view of common sense. Such a comparison is performed for two examples from the theory of a cylindrical arc column. The examples show that the error incurred by the usage of Steenbeck’s principle is uncontrollable and may be unacceptably high.
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spelling What is the mathematical meaning of Steenbeck's principle of minimum power in gas discharge physics?Steenbeck’s principleGas discharge physics.Faculdade de Ciências Exatas e da EngenhariaIt is shown that Steenbeck’s principle of minimum power, or voltage, for discharges with fixed current is not a corollary of the principle of minimum entropy production, in contrast to what is frequently assumed; besides, the latter principle itself does not provide a reasonable approximation in gas discharge physics. Similarly, Steenbeck’s principle is not a corollary of mathematical models of gas discharges. Hence, this principle contradicts the mathematical models. A methodically correct evaluation of the error caused by the use of Steenbeck’s principle requires a comparison of a solution obtained with the use of this principle with an exact solution to the same problem, rather than with experimental results or results deemed reasonable from the point of view of common sense. Such a comparison is performed for two examples from the theory of a cylindrical arc column. The examples show that the error incurred by the usage of Steenbeck’s principle is uncontrollable and may be unacceptably high.IOP PublishingDigitUMaBenilov, M. S.Naidis, G. V.2022-08-31T13:25:14Z2010-01-01T00:00:00Z2010-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.13/4534engBenilov, M. S., & Naidis, G. V. (2010). What is the mathematical meaning of Steenbeck's principle of minimum power in gas discharge physics?. Journal of Physics D: Applied Physics, 43(17), 175204. DOI: 10.1088/0022-3727/43/17/17520410.1088/0022-3727/43/17/175204info: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:RCAAP2022-09-05T12:57:52Zoai:digituma.uma.pt:10400.13/4534Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T15:08:39.783378Repositório 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 What is the mathematical meaning of Steenbeck's principle of minimum power in gas discharge physics?
title What is the mathematical meaning of Steenbeck's principle of minimum power in gas discharge physics?
spellingShingle What is the mathematical meaning of Steenbeck's principle of minimum power in gas discharge physics?
Benilov, M. S.
Steenbeck’s principle
Gas discharge physics
.
Faculdade de Ciências Exatas e da Engenharia
title_short What is the mathematical meaning of Steenbeck's principle of minimum power in gas discharge physics?
title_full What is the mathematical meaning of Steenbeck's principle of minimum power in gas discharge physics?
title_fullStr What is the mathematical meaning of Steenbeck's principle of minimum power in gas discharge physics?
title_full_unstemmed What is the mathematical meaning of Steenbeck's principle of minimum power in gas discharge physics?
title_sort What is the mathematical meaning of Steenbeck's principle of minimum power in gas discharge physics?
author Benilov, M. S.
author_facet Benilov, M. S.
Naidis, G. V.
author_role author
author2 Naidis, G. V.
author2_role author
dc.contributor.none.fl_str_mv DigitUMa
dc.contributor.author.fl_str_mv Benilov, M. S.
Naidis, G. V.
dc.subject.por.fl_str_mv Steenbeck’s principle
Gas discharge physics
.
Faculdade de Ciências Exatas e da Engenharia
topic Steenbeck’s principle
Gas discharge physics
.
Faculdade de Ciências Exatas e da Engenharia
description It is shown that Steenbeck’s principle of minimum power, or voltage, for discharges with fixed current is not a corollary of the principle of minimum entropy production, in contrast to what is frequently assumed; besides, the latter principle itself does not provide a reasonable approximation in gas discharge physics. Similarly, Steenbeck’s principle is not a corollary of mathematical models of gas discharges. Hence, this principle contradicts the mathematical models. A methodically correct evaluation of the error caused by the use of Steenbeck’s principle requires a comparison of a solution obtained with the use of this principle with an exact solution to the same problem, rather than with experimental results or results deemed reasonable from the point of view of common sense. Such a comparison is performed for two examples from the theory of a cylindrical arc column. The examples show that the error incurred by the usage of Steenbeck’s principle is uncontrollable and may be unacceptably high.
publishDate 2010
dc.date.none.fl_str_mv 2010-01-01T00:00:00Z
2010-01-01T00:00:00Z
2022-08-31T13:25:14Z
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/10400.13/4534
url http://hdl.handle.net/10400.13/4534
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Benilov, M. S., & Naidis, G. V. (2010). What is the mathematical meaning of Steenbeck's principle of minimum power in gas discharge physics?. Journal of Physics D: Applied Physics, 43(17), 175204. DOI: 10.1088/0022-3727/43/17/175204
10.1088/0022-3727/43/17/175204
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
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dc.publisher.none.fl_str_mv IOP Publishing
publisher.none.fl_str_mv IOP Publishing
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
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reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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