to second order fluid dynamics [@hyd1; @hyd2], to which the colorless effective theory reduces when deviations from equilibrium are small. The connection between the (colorless) effective formalism and kinetic theory was established in [@linking].

Similarly to what happens in the colorless version of the effective theory [@dev; @app], the formalism presented here reduces to the so-called “chromohydrodynamics” [@Heinz; @ManMro; @jiang; @holm] when deviations from equilibrium are small (see Section \[matrix\]). Previous studies based on chromohydrodynamics include the calculation of the wake potential induced by a fast parton [@wakejiang] as well as collective excitations and instabilities in the QGP [@ManMro; @manna; @jiang; @fraga; @cse].

This paper is organized as follows. In Section \[setup\], we describe the basic theoretical setup for our developments, give a very brief overview of the kinetic theory of a nonabelian plasma, and introduce the conserved and entropy currents. In Section \[eff\] we obtain a closure for the distribution function from the entropy production principle and derive the evolution equations of the effective theory by the method of moments applied to the transport equation; this Section contains our main results. In Section \[matrix\] we compare our developments to the matrix approach to chromohydrodynamics, and as a simple illustrative 