  Within kinetic theory, we look for local equilibrium configurations of the
quark-gluon plasma by maximizing the local entropy. We use the well-established
transport equations in the Vlasov limit, supplemented with the Waldmann-Snider
collision terms. Two different classes of local equilibrium solutions are
found. The first one corresponds to the configurations that comply with the
so-called collisional invariants. The second one is given by the distribution
functions that cancel the collision terms, representing the most probable
binary interactions with soft gluon exchange in the t-channel. The two sets of
solutions agree with each other if we go beyond these dominant processes and
take into account subleading quark-antiquark annihilation/creation and gluon
number non-conserving processes. The local equilibrium state appears to be
colorful, as the color charges are not locally neutralized. Properties of such
an equilibrium state are analyzed. In particular, the related hydrodynamic
equations of a colorful fluid are derived. Possible neutralization processes
are also briefly discussed.
