Quantum electrodynamic effects on counter-streaming instabilities in the whole k space

Area of Science:

• Plasma Physics
• Quantum Electrodynamics (QED)
• Instability Theory

Background:

• Previous work analyzed QED effects on the 1D two-stream instability in collisionless counter-streaming systems.
• The two-stream instability involves the growth of perturbations along the flow direction.

Purpose of the Study:

• Extend the analysis of QED effects to all possible wave vector orientations.
• Investigate the impact of QED on filamentation and oblique instabilities.
• Evaluate the role of QED effects in unmagnetized systems.

Main Methods:

• Three-dimensional (3D) analysis of instabilities.
• Evaluation of quantum electrodynamic (QED) effects.
• Comparison of classical and QED-corrected instability growth rates.

Main Results:

• The two-stream instability is confirmed to be fundamentally 1D even with QED effects in a 3D analysis.
• Filamentation instability shows weak QED influence, with growth rate saturation independent of QED corrections.
• QED corrections can unexpectedly increase or decrease growth rates for oblique wave vectors.

Conclusions:

• QED effects do not alter the fundamental dimensionality of the two-stream instability.
• Filamentation instability's classical behavior persists under QED influence.
• QED's impact on oblique instabilities is complex and varied, warranting further investigation.