Karpman-Washimi magnetization in relativistic quantum plasmas

An interesting phenomenon of ponderomotive Karpman-Washimi magnetization is investigated in ultrarelativistic degenerate plasmas. The quantum characteristics of plasma electrons are considered on incorporating the Fermi pressure and exchange-correlation potential terms into the fluid model of plasmas. The ion fluid is referred to as classically warm. The Karpman-Washimi ponderomotive magnetization $MK−WStr$ and radiation power $P¯K−WStr$ are derived as functions of scaled wave number $k¯$⁠, scaled effective frequency $ω¯∗$⁠, ratio of thermal temperature of ions to the Fermi temperature of electrons $E¯i′$⁠, and fine structure constant α for two cases of streaming and nonstreaming quantum plasmas. It has been observed that the Karpman-Washimi ponderomotive magnetization $MK−WStr$ and the Karpman-Washimi radiation power $P¯K−WStr$ are significantly affected by the scaled streaming velocity $v¯0$⁠.