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Kinetic instabilities in weakly collisional, high beta plasmas areinvestigated using two-dimensional hybrid expanding box simulations withCoulomb collisions modeled through the Langevin equation (corresponding to theFokker-Planck one). The expansion drives a parallel or perpendiculartemperature anisotropy (depending on the orientation of the ambient magneticfield). For the chosen parameters the Coulomb collisions are important withrespect to the driver but are not strong enough to keep the system stable withrespect to instabilities driven by the proton temperature anisotropy. In thecase of the parallel temperature anisotropy the dominant oblique fire hoseinstability efficiently reduces the anisotropy in a quasilinear manner. In thecase of the perpendicular temperature anisotropy the dominant mirrorinstability generates coherent compressive structures which scatter protons andreduce the temperature anisotropy. For both the cases the instabilitiesgenerate temporarily enough wave energy so that the corresponding (anomalous)transport coefficients dominate over the collisional ones and their propertiesare similar to those in collisionless plasmas.

Proton temperature-anisotropy-driven instabilities in weakly collisional plasmas: Hybrid simulations