Chaos in relativistic electron plasma and nonlinear dynamics in oblique propagation of electrostatic waves

Abstract

Nonlinear interaction between electrostatic waves propagating obliquely to an ambient uniform magnetic field, and electron plasma in relativistic formalism are analyzed in detail. Resonances among the harmonics (l) are delineated and a qualitative expression for the overlapping parameter (K) leading to stochasticisty is analytically derived. A novel feature of this analysis is revealed in the form of threshold wave amplitude (φk), especially at the onset of chaos. The interesting profiles concerning the variation of threshold amplitude with harmonics (l), magnetic field lines (B0), and wave vector (kz) pertaining to ensemble of electrostatic waves are displayed and discussed along with the phase-space topology mappings. These findings may provide important information concerning astrophysical scenarios, which include intergalactic plasmas, cosmic plasma particles, synchrotron radiation, and pulsar plasma analysis.

Electron surfing acceleration in oblique magnetic fields

“…These are trapped electrons (Dieckmann et al 2005). Electrons with other pitch angles are primarily accelerated by stochastic wave–particle interaction (Mohanty & Naik 1998; Dieckmann et al 2005). A considerable number of electrons do obtain a relativistic flow speed at the angle 0°, that is along B .…”

“…More generally, shock‐reflected ion beams and electrostatic waves will move at an oblique angle relative to the magnetic field. The interaction of electrons with electrostatic waves and a magnetic field that is oriented obliquely to the wavevector allows for ordered and stochastic orbits (Mohanty & Naik 1998). PIC simulations (Dieckmann et al 2005) have shown that a significant fraction of the accelerating electrons can reach ultrarelativistic speeds both along and perpendicular to the magnetic field.…”

Effect of finite magnetic moment on threshold amplitude of electrostatic waves in nonlinear dynamics

“…Similarly, the separation between the consecutive resonances corresponding to the harmonics l and (lϮ1) can be obtained as [7][8][9] ␦ k,l ϭ…”

Chaotic Dynamics of Coupled Transverse-Longitudinal Plasma Oscillations in Magnetized Plasmas

“…The motion of a single electron can turn chaotic in the presence of both an electromagnetic field and an external static magnetic field [7,8]. Recently, these findings were verified also for collective electron motion in magnetized plasmas [9][10][11]. It is, however, important to note that in these studies the waves were always considered as driven waves, and their propagations in the plasma were taken into account through the dispersion relation.…”