Eigenmodes and growth rates of relativistic current filamentation instability in a collisional plasma

Details Eigenmodes and growth rates of relativistic current filamentation instability in a collisional plasma Eigenmodes and growth rates of relativistic current filamentation instability in a collisional plasma

2003-12-25

arxiv.org/abs/physics/0312144v1

Phys.Rev. E69 (2004) 016401

Physics

Plasma Physics

44 pages, 12 figures. Accepted for publication in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.69.016401

I theoretically found eigenmodes and growth rates of relativistic current filamentation instability in collisional regimes, deriving a generalized dispersion relation from self-consistent beam-Maxwell equations. For symmetrically counterstreaming, fully relativistic electron currents, the collisional coupling between electrons and ions creates the unstable modes of growing oscillation and wave, which stand out for long-wavelength perturbations. In the stronger collisional regime, the growing oscillatory mode tends to be dominant for all wavelengths. In the collisionless limit, those modes vanish, while maintaining another purely growing mode that exactly coincides with a standard relativistic Weibel mode. It is also shown that the effects of electron-electron collisions and thermal spread lower the growth rate of the relativistic Weibel instability. The present mechanisms of filamentation dynamics are essential for transport of homogeneous electron beam produced by the interaction of high power laser pulses with plasma.

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