Theoretical and computational studies of the Weibel instability in several beamplasma interaction configurations
Abstract
The Weibel instability is investigated theoretically and numerically under three scenarios: counterstreaming electron beams in background plasma, an electronpositron beam and an electronproton beam in background plasma. These models occur widely in laboratory and astrophysical environments. The Weibel instability growth rates are determined numerically from the corresponding coldfluid dispersion relations, which are confirmed with twodimensional particleincell simulations. The maximum growth rates for the counterstreaming beams in background plasma are an order of magnitude smaller than the maximum growth rates for the beams cases in the same range of density ratios and beam energies. The maximum growth rate for the electronpositron beam case is shown to be at most a factor $\sqrt {2}$ greater than the electronproton beam case with similar dispersion behaviours. A nonmonotonic relation is found between the maximum Weibel instability growth rates and the electronpositron beam energy, suggesting that increasing beam energies does not entail an increase in the Weibel instability growth rate.
 Publication:

Journal of Plasma Physics
 Pub Date:
 April 2022
 DOI:
 10.1017/S0022377822000253
 Bibcode:
 2022JPlPh..88b9006D
 Keywords:

 plasma instabilities;
 plasma simulation;
 plasma flows