  Over the last decades, realistic 3D radiative-MHD simulations have become the
dominant theoretical tool for understanding the complex interactions between
the plasma and the magnetic field on the Sun. Most of such simulations are
based on approximations of magnetohydrodynamics, without directly considering
the consequences of the very low degree of ionization of the solar plasma in
the photosphere and bottom chromosphere. The presence of large amount of
neutrals leads to a partial decoupling of the plasma and the magnetic field. As
a consequence of that, a series of non-ideal effects (ambipolar diffusion, Hall
effect and battery effect) arises. The ambipolar effect is the dominant one in
the solar chromosphere. Here we report on the first three-dimensional realistic
simulations of magneto-convection including ambipolar diffusion and battery
effects. The simulations are done using the newly developed Mancha3D code. Our
results reveal that ambipolar diffusion causes measurable effects on the
amplitudes of waves excited by convection in the simulations, on the absorption
of Poynting flux and heating and on the formation of chromospheric structures.
We provide a low limit on the chromospheric temperature increase due to the
ambipolar effect using the simulations with battery-excited dynamo fields.

Solar and Stellar Astrophysics