Momentum-space diffusion due to resonant wave–wave scattering of electromagnetic and electrostatic waves in a relativistic magnetized plasma

2003

Relativistic and nonrelativistic particle acceleration along and across a magnetic field, and the generation of an electric field transverse to the magnetic field, both induced by nonlinear Landau damping (nonlinear wave-particle scattering) of almost perpendicularly propagating electrostatic waves in a relativistic magnetized plasma, are investigated theoretically on the basis of relativistic transport equations. Two electrostatic waves interact nonlinearly with particles, satisfying the resonance condition of ωk−ωk′−(k⊥−k⊥′)vd−(k∥−k∥′)v∥=mωcs/γd2, where v∥ and vd are the parallel and perpendicular velocities of particles, respectively, γd=(1−β2)−1/2, β=vd/c and ωcs is the relativistic cyclotron frequency. The relativistic transport equations show that the electrostatic waves can accelerate particles in the k″ direction (k″=k−k′). Simultaneously, an intense cross-field electric field E0=B0×vd/c is generated via the dynamo effect owing to perpendicular particle drift to satisfy the generalized Ohm’s law, which means that this cross-field particle drift is identical to the E×B drift. The relativistic transport equations for relativistic cross-field particle acceleration are derived by Lorentz transformation of the relativistic momentum-space diffusion equation in the moving frame of reference without the electric field and the cross-field particle drift.

Cross-field plasma acceleration and potential formation induced by nonlinear Landau damping of electrostatic waves in a relativistic magnetized plasma

2003

Relativistic electron beam acceleration by nonlinear Landau damping of electrostatic waves in a magnetized plasma

2004

Acceleration and heating of a relativistic electron beam due to nonlinear electron Landau and cyclotron damping of electrostatic waves in a magnetized plasma are investigated theoretically and numerically on the basis of the relativistic kinetic wave and transport equations derived from the relativistic Vlasov–Maxwell equations. Two electrostatic waves interact nonlinearly with the relativistic electron beam satisfying the resonance condition for nonlinear electron Landau and cyclotron damping of ωk−ωk′−(k⊥−k⊥′)vd−(k∥−k∥′)vb≃mωce where vb and vd are the parallel and perpendicular velocities of the relativistic electron beam, respectively, and ωce is the relativistic electron cyclotron frequency. The beat waves produced by two electrostatic waves resonate with the relativistic electron beam. The relativistic transport equations using the relativistic drifted Maxwellian momentum distribution function of the relativistic electron beam were derived and analyzed. They show obviously its acceleration and heating (deceleration or cooling). Nonlinear electron Landau damping of the two lower-hybrid waves has been studied by the numerical analysis of relativistic nonlinear wave-particle coupling coefficients and it was clarified that the highly relativistic electron beam can be accelerated efficiently via the Compton scattering due to nonlinear electron Landau damping of the lower-hybrid waves.

Relativistic electron beam acceleration by Compton scattering of extraordinary waves

2006

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