Magnetotransport of the Sinai billiard

We study numerically the magnetotransport of the two-dimensional Sinai billiard in a uniform magnetic field. We argue that one must include impurity scattering in order to have a well-posed physical problem. Still, there is a window for the scattering time where the transport is dominated by the deterministic dynamics. We investigate the dynamical structure of phase space, peaks in the magnetoresistance and conductance, and diffuse instead of specular reflection.