The holographic isotropization of a highly anisotropic, homogeneous, strongly
coupled, non-Abelian plasma was simplified in arXiv:1202.0981 by linearizing
Einstein's equations around the final, equilibrium state. This approximation
reproduces the expectation value of the boundary stress tensor with a 20%
accuracy. Here we elaborate on these results and extend them to observables
that are directly sensitive to the bulk interior, focusing for simplicity on
the entropy production on the event horizon. We also consider
next-to-leading-order corrections and show that the leading terms alone provide
a better description of the isotropization process for the states that are
furthest from equilibrium.Comment: 30 pages, 14 figures; v2: minor changes in the text, matches the
published versio