Nonlinear electromagnetic wave equations for superdense magnetized plasmas

Shukla, Nitin and Brodin, G. and Marklund, M. and Shukla, P.K. and Stenflo, L., Deutsche Forschungsgemeinschaft (Bonn) (Funder), Forschergruppe (Funder), European Research Council (Funder), Swedish Research Council (Funder) (2009) Nonlinear electromagnetic wave equations for superdense magnetized plasmas. Physics of Plasmas, 16 (7). 072114. ISSN 1070-664X (

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By using the quantum hydrodynamic and Maxwell equations, we derive the generalized nonlinear electron magnetohydrodynamic, the generalized nonlinear Hall-MHD (HMHD), and the generalized nonlinear dust HMHD equations in a self-gravitating dense magnetoplasma. Our nonlinear equations include the self-gravitating, the electromagnetic, the quantum statistical electron pressure, as well as the quantum electron tunneling and electron spin forces. They are useful for investigating a number of wave phenomena including linear and nonlinear electromagnetic waves, as well as three-dimensional electromagnetic wave turbulence spectra and structures arising from mode coupling processes at nanoscales in dense quantum magnetoplasmas.