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Fluid theory of magnetic-field generation in intense laser-plasma interaction

Using the ten-moment Grad system of hydrodynamic equations, a self-consistent fluid model is presented for the generation of spontaneous magnetic fields in intense laser-plasma interaction. The generalized vorticity is not conserved as opposed to previous studies, for the nondiagonal stress force is considered. Equations for both the axial magnetic field Bz and the azimuthal one Bθ are simultaneously derived from a fluid scheme for the first time in the quasi-static approximation, where the low-frequency phase speed vp is much smaller than the electron thermal speed vte. It is found that the condition vp >> vte, widely used as cold-fluid approximation, where Bz is incomplete, is improper. The profiles of Bz and Bθ as well as the plasma density cavitation are analyzed. Their dependences on the laser intensity are also discussed.