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Relativistic kinetic theory for spin-1/2 particles: Conservation laws, thermodynamics, and linear waves
Umeå University, Faculty of Science and Technology, Department of Physics.
Umeå University, Faculty of Science and Technology, Department of Physics.
Umeå University, Faculty of Science and Technology, Department of Physics.
Umeå University, Faculty of Science and Technology, Department of Physics.
2019 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, ISSN 1063-651X, E-ISSN 1095-3787, Vol. 100, no 2, article id 023201Article in journal (Refereed) Published
Abstract [en]

We study a recently derived fully relativistic kinetic model for spin-1/2 particles. First, the full set of conservation laws for energy, momentum, and angular momentum are given together with an expression for the (nonsymmetric) stress-energy tensor. Next, the thermodynamic equilibrium distribution is given in different limiting cases. Furthermore, we address the analytical complexity that arises when the spin and momentum eigenfunctions are coupled in linear theory by calculating the linear dispersion relation for such a case. Finally, we discuss the model and give some context by comparing with potentially relevant phenomena that are not included, such as radiation reaction and vacuum polarization.

Place, publisher, year, edition, pages
2019. Vol. 100, no 2, article id 023201
National Category
Fusion, Plasma and Space Physics
Research subject
Theoretical Physics
Identifiers
URN: urn:nbn:se:umu:diva-162463DOI: 10.1103/PhysRevE.100.023201ISI: 000479192700004OAI: oai:DiVA.org:umu-162463DiVA, id: diva2:1344426
Available from: 2019-08-20 Created: 2019-08-20 Last updated: 2019-08-21Bibliographically approved
In thesis
1. Quantum Kinetic Theory for Plasmas: spin, exchange, and particle dispersive effects
Open this publication in new window or tab >>Quantum Kinetic Theory for Plasmas: spin, exchange, and particle dispersive effects
2019 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

This thesis is about developing and studying quantum mechanical models of plasmas. Quantum effects can be important at high densities, at low temperatures, and in strong electromagnetic fields, in various laboratory and astrophysical systems. The focus is on the electron spin, the intrinsic magnetic moment; exchange interactions, a purely quantum mechanical effect arising from particles being indistinguishable; and particle dispersive effects, essentially the Heisenberg uncertainty principle. The focus is on using phase-space formulations of quantum mechanics, namely Wigner and -functions. These methods allow carrying over techniques from classical plasma physics and identifying quantum as opposed to classical behavior.

Two new kinetic models including the spin are presented, one fully relativistic and to first order in ħ, and one semi-relativistic but to all orders in ħ. Among other example calculations, for the former, conservation laws for energy, momentum, and angular momentum are derived and related to “hidden momentum” and the Abraham-Minkowski dilemma. Both models are discussed in the context of the existing literature.

A kinetic model of exchange interactions, formally similar to a collision operator, is compared to a widely used fluid description based on density functional theory, for the case of electrostatic waves. The models are found to disagree significantly.

A new, non-linear, wave damping mechanism is shown to arise from particle dispersive effects. It can be interpreted as the simultaneous absorption or emission of multiple wave quanta. This multi-plasmon damping is of particular interest for highly degenerate electrons, where it can occur on time scales comparable to or shorter than that of linear Landau damping.

Place, publisher, year, edition, pages
Umeå: Umeå universitet, 2019. p. 47
National Category
Fusion, Plasma and Space Physics
Research subject
Theoretical Physics
Identifiers
urn:nbn:se:umu:diva-162465 (URN)978-91-7855-102-6 (ISBN)
Public defence
2019-09-13, N 420, Naturvetarhuset, Umeå, 10:00 (English)
Opponent
Supervisors
Available from: 2019-08-23 Created: 2019-08-20 Last updated: 2019-08-21Bibliographically approved

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Ekman, RobinAl-Naseri, HaidarZamanian, JensBrodin, Gert

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Physical Review E. Statistical, Nonlinear, and Soft Matter Physics: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Fusion, Plasma and Space Physics

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