TITLE:
Ion Acceleration and Plasma Jet Formation, Amplification of a Whistler Pulse along a Magnetic Field, Interaction of a Relativistic Electron Beam with a Plasma: Eulerian Vlasov Codes for Laboratory and Space Plasmas Simulation
AUTHORS:
Magdi Shoucri
KEYWORDS:
Ion Acceleration, Whistler Amplification, Relativistic Vlasov-Maxwell
JOURNAL NAME:
Journal of High Energy Physics, Gravitation and Cosmology,
Vol.11 No.4,
October
27,
2025
ABSTRACT: The application of Eulerian codes for the numerical solution of the kinetic equations of plasmas has become a powerful numerical tool. In the present work, we use an Eulerian Vlasov code for the numerical solution of the one-dimensional (1D) relativistic Vlasov-Maxwell set of equations to illustrate the application of these methods to problems pertinent to laboratory and space plasmas. In Section 2, we present a study on the acceleration of ions and plasma jet formation during the interaction of a high intensity circularly polarized laser beam normally incident on an overdense plasma target. Both electrons and ions are treated with a relativistic Vlasov equation. We follow the evolution of this system when the ponderomotive pressure of the wave pushes the electrons at the plasma surface and leads to the formation of a neutral plasma jet ejected from the back of the target. In Section 3, we use a 1D relativistic Vlasov code in a magnetized plasms to study the amplification of an ultra-short seed pulse mediated via a Brillouin backscattering of energy from a long pump pulse. In both Section 2 and Section 3, details on the numerical codes will be presented. In Section 4, we discuss the generation of electromagnetic radiation in a relativistic electron beam-plasma interaction known as the Type III solar radio bursts. In Section 5, we discuss the problem of the auroral kilometric radiation, the colourful dance of light in the sky in the Northern and Southern hemispheres of the Earth, when weakly relativistic electron beams are propagating along the magnetic field in the north and south poles. The absence of noise in the Eulerian Vlasov code allows a detailed representation of the phase-space structures of the distribution functions, especially in the low density regions of the phase-space.