  Motivated by the anisotropic interactions between fish, we implement
spatially anisotropic and therefore non-reciprocal interactions in the 2D Ising
model. First, we show that the model with non-reciprocal interactions alters
the system critical temperature away from that of the traditional 2D Ising
model. Further, local perturbations to the magnetization in this
out-of-equilibrium system manifest themselves as traveling waves of spin states
along the lattice, also seen in a mean-field model of our system. The speed and
directionality of these traveling waves are controllable by the orientation and
magnitude of the non-reciprocal interaction kernel as well as the proximity of
the system to the critical temperature.
