Filamentation instability in a quantum plasma

Abstract

The growth rate of the filamentation instability triggered when a diluted cold electron beam passes through a cold plasma is evaluated using the quantum hydrodynamic equations. Compared with a cold fluid model, quantum effects reduce both the unstable wave vector domain and the maximum growth rate. Stabilization of large wave vector modes is always achieved, but significant reduction of the maximum growth rate depends on a dimensionless parameter that is provided. Although calculations are extended to the relativistic regime, they are mostly relevant to the non-relativistic one.

To appear in Physics of Plasmas

References in corpus (2)

• Statistical Effects in the Multistream Model for Quantum Plasmas
• Nonlinear wave interactions in quantum magnetoplasmas

Cited by in corpus (11)

• Quantum Weibel Instability
• Physical interpretation of the quantum two-stream instability
• Filamentation instability in a quantum magnetized plasma
• Nonlinear Saturation of the Weibel Instability in a Dense Fermi Plasma
• Weibel Instabilities in Dense Quantum Plasmas
• Phase-space structures in quantum-plasma wave turbulence
• Connection between the two branches of the quantum two-stream instability across the k space
• Quantum kinetic theory of the filamentation instability
• Unstable spectrum of a relativistic electron beam interacting with a quantum collisional plasma: application to the Fast Ignition Scenario
• Wavefunction of Plasmon Excitations with Space Charge Effects
• Analytical Properties of Linear Electrostatic Waves in Two-Component Quantum and Classical Plasmas