Electromagnetic waves in a relativistic plasma stream: fusion instability

Abstract

We derive the dispersion formulae for electromagnetic waves including relativistic kinematics and a corresponding Maxwellian equilibrium distribution function without any approximations and having anisotropy in the streaming velocity. For non-relativistic temperatures, waves propagate when the streaming velocity is much smaller than the thermal velocity of the species, with varying thermal modes.

Cross field diffusion and transport in a relativistic and beam-driven magnetoplasma: Collisional kinetics

“…To help resolve the issue, it is important to choose a properly normalized relativistic equilibrium distribution function having anisotropy in the energy momentum distribution 13,14,16,17 as follows:…”

“…Recent investigations on large amplitude laser radiation, laser produced plasmas, and free electron lasers ͑FEL͒ 6-8 have further stimulated the understanding of these esoteric aspects. Similarly, astrophysical plasmas concerning high speed streams in the solar wind, microflaring in the x-ray Corona, cosmic ray plasmas, [9][10][11] synchrotron radiation, transient plasmas and shock waves, and ultrarelativistic pulsar jets [12][13][14][15] profoundly contain particles governed by relativistic temperature regimes. Therefore, it is imperative to analyze the kinetic treatment which includes the action of collisions between singly charged ions and electrons and the impact of an electric and magnetic field.…”

Relativistic theory of nonlinear oscillations in magnetoactive and transient plasmas or jets

“…The presence of a beam in the plasma physically entails an energy exchange phenomenon via streaming or mass motion of the plasma particles. The exchanged energy of the system is given by [14][15][16][17][18] V 0 •P and the net energy is in the form ͑EϪV 0 -P͒, where E ϭ ͱP 2 c 2 ϩm 0 2 c 4 , the total energy of the system, V 0 stands for the beam or streaming velocity of plasma mass motion and is defined in the form V 0 ϭV 0x x ϩV 0z ẑ . It represents the physical parameter as the strength of the interaction of the particles with the electrostatic waves.…”

“…We further assume a large number of randomly phased electrostatic waves in the potential term of the Hamiltonian. We proceed to incorporate a streaming energy exchange of the above kind in analogy with the theory governing the equilibrium distribution function in streaming plasma analysis [14][15][16][17][18] and restructure the one particle relativistic Hamiltonian in the following form:…”

Diffusion and transport phenomena in a two-component singly charged magnetized and anisotropic plasma stream

“…So our formalism and analysis involves a purportedly streaming and mass motion mechanism and the evaluation of resulting scattered flux integrals leading to modified transport coefficients inherent with such a beam-plasma interaction. [14][15][16][17][18][19][20][21][22] Diffusion in relativistic theory has been dealt with both for beam and no beam systems. Therefore it is worthwhile to study the remaining aspects of transport diffusion in a beam plasma governed by the nonrelativistic energy regimes and the interesting features of the transport properties implicit in the analysis.…”