  We numerically investigate the process of generating magnetic fields from
temperature anisotropy of electrons in collisionless initially uniform plasmas.
We use a fully kinetic modeling and compare it against a hybrid modeling which
treats ions kinetically and use ten-moment fluid model for electrons. The
results of the one-to-one comparison show a good agreement in terms of the
maximal magnitude of the self-generated magnetic field and similar trends
during the non-linear stage of the instability. Additionally, we performed
hybrid modelling of the instability without resolving electron spatial scales.
In this case the results are only qualitatively the same however it shows that
hydrodynamical approach can be used to some extent for the simulation of the
Weibel instability in large-scale systems, including astrophysical environments
and laser-produced plasmas.
