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Applicability of the Klein-Gordon equation for pair production in vacuum and plasma
Umeå University, Faculty of Science and Technology, Department of Physics.ORCID iD: 0000-0002-1555-7616
Umeå University, Faculty of Science and Technology, Department of Physics.ORCID iD: 0000-0003-2716-098x
2023 (English)In: Physical review. E, ISSN 2470-0045, E-ISSN 2470-0053, Vol. 108, no 5, article id 055205Article in journal (Refereed) Published
Abstract [en]

In this paper, a phase-space description of electron-positron pair-creation will be applied, based on a Wigner transformation of the Klein-Gordon equation. The resulting theory is similar in many respects to the equations from the Dirac-Heisenberg-Wigner formalism. However, in the former case, all physics related to particle spin is neglected. In the present paper we compare the pair-production rate in vacuum and plasmas, with and without spin effects, in order to evaluate the accuracy and applicability of the spinless approximation. It is found that for modest frequencies of the electromagnetic field, the pair production rate of the Klein-Gordon theory is a good approximation to the Dirac theory, provided the matter density is small enough for Pauli blocking to be neglected, and a factor of two related to the difference in the vacuum energy density is compensated for.  

Place, publisher, year, edition, pages
American Physical Society, 2023. Vol. 108, no 5, article id 055205
National Category
Fusion, Plasma and Space Physics
Research subject
Physics
Identifiers
URN: urn:nbn:se:umu:diva-208015DOI: 10.1103/PhysRevE.108.055205Scopus ID: 2-s2.0-85177615325OAI: oai:DiVA.org:umu-208015DiVA, id: diva2:1755339
Funder
Knut and Alice Wallenberg Foundation
Note

Originally included in thesis in manuscript form. 

Available from: 2023-05-08 Created: 2023-05-08 Last updated: 2023-11-30Bibliographically approved
In thesis
1. Modelling and analyzing strong-field effects in quantum plasma
Open this publication in new window or tab >>Modelling and analyzing strong-field effects in quantum plasma
2023 (English)Doctoral thesis, comprehensive summary (Other academic)
Alternative title[sv]
Modellering och analys av effekter från starka fält i kvantkinetiska plasmor
Abstract [en]

Under the extreme conditions that can be found around dense stars and in the accretion discs of black holes, several strong-field quantum phenomena dominate the dynamics of the plasma. This includes the creation of matter and anti-matter from the vacuum (Schwinger mechanism), radiation reaction and Landau quantization. Some of these strong field phenomena were presented theoretically a century ago but have never been verified in experiments due to the difficulty of creating the required extreme conditions in the lab. However, with the development of laser facilities in the past decades, it will be possible to observe several extreme physical phenomena in the near future. To conduct experiments on these extreme phenomena, theoretical simulations need to be constructed as a guide for optimizing experiments.

This thesis is concerned with developing and analyzing strong field phenomena in kinetic plasma models. The focus is to extend current kinetic models to include several physical phenomena that are relevant to future experiments on laser-plasma interaction. In particular, a kinetic theory based on the Wigner transformation of the Dirac equation has been analyzed in different regimes. This kinetic model is used to study the plasma dynamics at the Schwinger limit, where collective plasma effects and several quantum processes are studied.

Place, publisher, year, edition, pages
Umeå: Umeå University, 2023. p. 69
Keywords
Plasma physics, Strong-field physics, Kinetic theory, Quantum plasma
National Category
Fusion, Plasma and Space Physics
Research subject
Physics
Identifiers
urn:nbn:se:umu:diva-208019 (URN)978-91-8070-067-2 (ISBN)978-91-8070-068-9 (ISBN)
Public defence
2023-06-01, NAT.D.450, Förvaltningshuset Hus D, 901 87, Umeå, 13:00 (English)
Opponent
Supervisors
Funder
Swedish Research Council, 2016-03806
Available from: 2023-05-11 Created: 2023-05-08 Last updated: 2023-05-10Bibliographically approved

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Al-Naseri, HaidarBrodin, Gert

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