Recently, powerful quantum field theory techniques, originally developed to calculate observables in colliders, have been applied to describe classical observables relevant to gravitational wave physics. One of these techniques is the double copy, which suggests that the basis of the dynamics of general relativity is Yang-Mills theory. In this talk, I will first give a brief review of the framework by Kosower-Maybee-O'Connell applied to the computation of classical Yang-Mills observables from scattering amplitudes. I will consider the classical dynamics of color-charged particle scattering and explain how to compute the change of color, and the radiation of color, during a classical collision. Finally, I will discuss the dynamics of non-abelian plasmas in the high temperature limit and its relation with classical limits of Yang-Mills amplitudes.