  We study the oscillations of a uniform longitudinal chromoelectric field in a
dynamically-evolving momentum-space anisotropic background in the weak field
limit. Evolution equations for the background are derived by taking moments of
the Boltzmann equation in two cases: (i) a fixed relaxation time and (ii) a
relaxation time that is proportional to the local inverse transverse momentum
scale of the plasma. The second case allows us to reproduce 2nd-order viscous
hydrodynamical dynamics in the limit of small shear viscosity to entropy ratio.
We then linearize the Boltzmann-Vlasov equation in a dynamically-evolving
background and obtain an integro-differential evolution equation for the
chromoelectric field. We present numerical solutions to this
integro-differential equation for a variety of different initial conditions and
shear viscosity to entropy density ratios. The dynamical equations obtained are
novel in that they include a non-trivial time-dependent momentum-space
anisotropic background and the effect of collisional damping for the first
time.
