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Fluid moment hierarchy equations derived from gauge invariant quantum kinetic theory
Universidade do Vale do Rio dos Sinos, Brazil.
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.
2010 (English)In: New Journal of Physics, ISSN 1367-2630, E-ISSN 1367-2630, Vol. 12, 073027-073039 p.Article in journal (Refereed) Published
Abstract [en]

The gauge invariant electromagnetic Wigner equation is taken as the basis of a fluid-like system describing quantum plasmas, derived from the moments of the gauge invariant Wigner function. The use of the standard, gauge-dependent Wigner function is shown to produce inconsistencies if a direct correspondence principle is applied. The propagation of linear transverse waves is considered and it is shown to be in agreement with the kinetic theory in the long-wavelength approximation, provided that an adequate closure is chosen for the macroscopic equations. A general recipe to solve the closure problem is suggested.

Place, publisher, year, edition, pages
IOP - Institute of Physics , 2010. Vol. 12, 073027-073039 p.
Keyword [en]
plasma kinetic equations, electromagnetic waves
National Category
Physical Sciences
Research subject
Physics
Identifiers
URN: urn:nbn:se:umu:diva-37365DOI: 10.1088/1367-2630/12/7/073027ISI: 000281232700006OAI: oai:DiVA.org:umu-37365DiVA: diva2:359542
Available from: 2010-10-28 Created: 2010-10-28 Last updated: 2017-12-12Bibliographically approved
In thesis
1. Modelling of spin and other quantum effects in plasmas
Open this publication in new window or tab >>Modelling of spin and other quantum effects in plasmas
2012 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

The development of quantum mechanics during the 20th century gave rise to a completely new way of describing physics. The interpretation of quantum theory is inherently difficult: for example, many-body systems are described by a so called density matrix which has no straightforward analogue in classical theory. However, in the 30’s Wigner proposed an alternative way of describing many-body systems, using a quasi-probability distribution function. This made the connection between classical and quantum kinetic theory clearer.

This thesis is concerned with modelling of quantum effects in plasmas. The focus lies on describing plasmas containing spin-1/2 particles. For this purpose, new models, based on quantum kinetic theory, are derived. This is achieved by starting from the evolution equation for the density matrix and applying a combination of the Wigner transformation for the position degree of freedom and the Q-transformation for the spin. The properties of the resulting kinetic theory are then investigated and it is shown to satisfy basic necessary criteria such as energy conservation. The kinetic equation is then used to derive a fluid theory for spin-1/2 particles.

In this thesis the kinetic and fluid models are applied to different problems in quantum plasma physics. For example it will be shown that the quantum electrodynamic correction to the electron g-factor can give rise to a wave mode which lacks classical analogue, and that spin may affect the damping rate of Alfvén waves. The models will also be applied to nonlinear problems and it will be shown that they give rise to modifications of the so called spin ponderomotive force.

Place, publisher, year, edition, pages
Umeå: Umeå Universitet, 2012. 33 p.
National Category
Fusion, Plasma and Space Physics
Identifiers
urn:nbn:se:umu:diva-53320 (URN)978-91-7459-385-3 (ISBN)
Public defence
2012-04-13, Naturvetarhuset, N430, Umeå Universitet, Umeå, 10:00 (English)
Opponent
Supervisors
Available from: 2012-03-23 Created: 2012-03-20 Last updated: 2012-03-22Bibliographically approved

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