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

2010Journal article Open access
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dc.contributor.authorBenilov, M. S.
dc.contributor.authorNaidis, G. V.
dc.date.accessioned2022-08-31T13:25:14Z
dc.date.available2022-08-31T13:25:14Z
dc.date.issued2010
dc.description.abstractIt 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.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationBenilov, 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: 10.1088/0022-3727/43/17/175204pt_PT
dc.identifier.doi10.1088/0022-3727/43/17/175204pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.13/4534
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherIOP Publishingpt_PT
dc.relationCathode spots in high-pressure DC gas discharges: self-organization phenomena
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/pt_PT
dc.subjectSteenbeck’s principlept_PT
dc.subjectGas discharge physicspt_PT
dc.subject.pt_PT
dc.subjectFaculdade de Ciências Exatas e da Engenhariapt_PT
dc.titleWhat is the mathematical meaning of Steenbeck's principle of minimum power in gas discharge physics?pt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardTitleCathode spots in high-pressure DC gas discharges: self-organization phenomena
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/3599-PPCDT/PTDC%2FFIS%2F68609%2F2006/PT
oaire.citation.issue17pt_PT
oaire.citation.startPage175204pt_PT
oaire.citation.titleJournal of Physics D: Applied Physicspt_PT
oaire.citation.volume43pt_PT
oaire.fundingStream3599-PPCDT
person.familyNameBenilov
person.familyNameNaidis
person.givenNameMikhail
person.givenNameGeorge
person.identifier.ciencia-id0F14-A79A-97C1
person.identifier.orcid0000-0001-9059-1948
person.identifier.orcid0000-0003-2184-802X
person.identifier.ridK-4443-2015
person.identifier.scopus-author-id7005138676
person.identifier.scopus-author-id6701765912
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT
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relation.isAuthorOfPublication8605b032-ade3-4d43-b569-9b74b1c532ab
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