Electromagnetic wave equations for relativistically degenerate quantum magnetoplasmas

Journal Article · Tue Jun 15 00:00:00 EDT 2010 · Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics (Print)

DOI:https://doi.org/10.1103/PHYSREVE.81.066401· OSTI ID:21362164

Masood, Waqas ^[1]; Eliasson, Bengt ^[2]; Shukla, Padma K ^[3]

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1. TPPD, PINSTECH, P. O. Nilore, Islamabad (Pakistan)
2. Department of Physics, Umeaa University, SE-901 87 Umeaa (Sweden)
3. Institut fuer Theoretische Physik IV, Fakultaet fuer Physik und Astronomie, Ruhr-Universitaet Bochum, D-44780 Bochum (Germany)

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.

• OSTI ID: 21362164
• Journal Information: Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics (Print), Vol. 81, Issue 6; Other Information: DOI: 10.1103/PhysRevE.81.066401; (c) 2010 The American Physical Society; ISSN 1539-3755
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
79 ASTROPHYSICS
COSMOLOGY AND ASTRONOMY
ASTROPHYSICS
DISPERSION RELATIONS
ELECTROMAGNETIC RADIATION
ELECTRONS
EQUATIONS
MAGNETOACOUSTIC WAVES
NONLINEAR PROBLEMS
ONE-DIMENSIONAL CALCULATIONS
PARAMAGNETISM
QUANTUM PLASMA
RELATIVISTIC RANGE
SPIN
WHITE DWARF STARS
ANGULAR MOMENTUM
DWARF STARS
ELEMENTARY PARTICLES
ENERGY RANGE
FERMIONS
HYDROMAGNETIC WAVES
LEPTONS
MAGNETISM
PARTICLE PROPERTIES
PHYSICS
PLASMA
RADIATIONS
STARS