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

Physics

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Electrostatic Waves And Oscillations, Stochastic Processes

Scientific paper

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.

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