What is the mathematical meaning of Steenbeck's principle of minimum power in gas discharge physics?
Autor(a) principal: | |
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Data de Publicação: | 2010 |
Outros Autores: | |
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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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 |
dc.format.none.fl_str_mv |
application/pdf |
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 |
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RCAAP |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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