Kinetic Bohm criterion in the Tonks-Langmuir model: assumption or theorem?

Benilov, M. S.; Almeida, N.  A.

Publication

Kinetic Bohm criterion in the Tonks-Langmuir model: assumption or theorem?

2019Journal article

dc.contributor.author	Benilov, M. S.
dc.contributor.author	Almeida, N. A.
dc.date.accessioned	2022-07-12T13:18:16Z
dc.date.available	2022-07-12T13:18:16Z
dc.date.issued	2019
dc.description.abstract	New first integral is found in the collision-free Tonks-Langmuir model. The integral has a clear physical interpretation: the weighted mean inverse kinetic energy of ions, evaluated in the quasineutral approximation, equals ðkTe=2Þ 1 at all points in space. This feature is also pre sent in the full (not relying on the assumption of quasineutrality) model: for small values of the Debye length, the weighted mean inverse kinetic energy is with good accuracy equal to ðkTe=2Þ 1 in the entire region of quasineutral plasma, including in the vicinity of the space charge sheath. These results constitute a mathematical proof of the kinetic Bohm criterion and provide a new look at the problem, which has been discussed for several decades. In particular, these results show that the much-debated problem of divergence for slow ions stems from a misinterpretation. Moreover, these results explain why no unique form of kinetic Bohm criterion, modified with the account of ionization and/or collisional and/or geometrical effects in the sheath, has emerged: it cannot be postulated in a nonarbitrary way since there is simply no definite value of the inverse mean kinetic energy with which the ions enter the sheath, if these effects are non-negligible.	pt_PT
dc.description.version	info:eu-repo/semantics/publishedVersion	pt_PT
dc.identifier.citation	Benilov, M. S., & Almeida, N. A. (2019). Kinetic Bohm criterion in the Tonks-Langmuir model: assumption or theorem?. Physics of Plasmas, 26(12), 123505. 10.1063/1.5121022	pt_PT
dc.identifier.doi	10.1063/1.5121022	pt_PT
dc.identifier.uri	http://hdl.handle.net/10400.13/4394
dc.language.iso	eng	pt_PT
dc.peerreviewed	yes	pt_PT
dc.publisher	American Institute of Physics	pt_PT
dc.relation	Institute for Plasmas and Nuclear Fusion
dc.rights.uri	http://creativecommons.org/licenses/by/4.0/	pt_PT
dc.subject	Tonks-Langmuir model	pt_PT
dc.subject	Kinetic Bohm criterion	pt_PT
dc.subject	.	pt_PT
dc.subject	Faculdade de Ciências Exatas e da Engenharia	pt_PT
dc.title	Kinetic Bohm criterion in the Tonks-Langmuir model: assumption or theorem?	pt_PT
dc.type	journal article
dspace.entity.type	Publication
oaire.awardTitle	Institute for Plasmas and Nuclear Fusion
oaire.awardURI	info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UID%2FFIS%2F50010%2F2019/PT
oaire.citation.issue	12	pt_PT
oaire.citation.startPage	123505	pt_PT
oaire.citation.title	Physics of Plasmas	pt_PT
oaire.citation.volume	26	pt_PT
oaire.fundingStream	6817 - DCRRNI ID
person.familyName	Benilov
person.familyName	Almeida
person.givenName	Mikhail
person.givenName	Nelson
person.identifier.ciencia-id	0F14-A79A-97C1
person.identifier.ciencia-id	0516-6FAA-27E2
person.identifier.orcid	0000-0001-9059-1948
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person.identifier.rid	K-4443-2015
person.identifier.rid	M-6228-2013
person.identifier.scopus-author-id	7005138676
person.identifier.scopus-author-id	7003469070
project.funder.identifier	http://doi.org/10.13039/501100001871
project.funder.name	Fundação para a Ciência e a Tecnologia
rcaap.rights	openAccess	pt_PT
rcaap.type	article	pt_PT
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