Flavor Development of a Two Dimensional Dense Neutrino Gas

Dense neutrino gases occur in several astrophysical settings such as early universe cosmology and the dynamic environments surrounding compact objects like core-collapse supernovae or binary neutron star mergers.  It has long been understood that in the coherent-forward-scattering regime the neutrino gas evolution results in a non-linear, flavor-dependent index of refraction for propagating neutrinos which can result in coupling between different neutrino trajectories.  In one dimensional models, the neutrino gas displays large scale coherent behavior across different trajectories. However, in simple two dimensional toy models, it has been suggested that there may be significant development of kinematic decoherence of the gas.  In this talk I will present results from a numerical simulation of such a dense neutrino environment in two dimensions. I will describe the evolution of the flavor content of the neutrinos and contextualize the numerical results with theory.