Electromagnetic wave equations for relativistically degenerate quantum magnetoplasmas
2010 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, ISSN 1063-651X, E-ISSN 1095-3787, Vol. 81, no 6, 066401-5 pages p.Article in journal (Refereed) Published
A generalized set of nonlinear electromagnetic quantum hydrodynamic (QHD) equations is derived for a magnetized quantum plasma, including collisional, electron spin-1/2, and relativistically degenerate electron pressure effects that are relevant for dense astrophysical systems, such as white dwarfs. For illustrative purposes, linear dispersion relations are derived for one-dimensional magnetoacoustic waves for a collisionless nonrelativistic degenerate gas in the presence of the electron spin-1/2 contribution and for magnetoacoustic waves in a plasma containing relativistically degenerate electrons. It is found that both the spin and relativistic degeneracy at high densities tend to slow down the magnetoacoustic wave due to the Pauli paramagnetic effect and relativistic electron mass increase. The present study outlines the theoretical framework for the investigation of linear and nonlinear behaviors of electromagnetic waves in dense astrophysical systems. The results are applied to calculate the magnetoacoustic speeds for both the nonrelativistic and relativistic electron degeneracy cases typical for white dwarf stars.
Place, publisher, year, edition, pages
New York: The American Physical Society , 2010. Vol. 81, no 6, 066401-5 pages p.
Research subject Physics
IdentifiersURN: urn:nbn:se:umu:diva-38751DOI: 10.1103/PhysRevE.81.066401ISI: 000278772100001OAI: oai:DiVA.org:umu-38751DiVA: diva2:381422