  In this paper we develop a model for nematic alignment of self-propelled rods
interacting through binary collisions. We avoid phenomenological descriptions
of rod interaction in favor of rigorously using a set of microscopic-level
rules. Under the assumption that each collision results in a small change to a
rod's orientation, we derive the Fokker-Planck equation for the evolution of
the kinetic density function. Using analytical and numerical methods, we study
the emergence of the nematic order from a homogeneous, uniform steady-state of
the mean-field equation.
