  We describe the black hole evaporation process driven by the dynamical
evolution of the quantum gravitational degrees of freedom resident at the
horizon, as identified by the loop quantum gravity kinematics. Using a parallel
with the Brownian motion, we interpret the first law of quantum dynamical
horizon in terms of a fluctuation-dissipation relation. In this way, the
horizon evolution is described in terms of relaxation to an equilibrium state
balanced by the excitation of Planck scale constituents of the horizon. This
discrete quantum hair structure associated to the horizon geometry produces a
deviation from thermality in the radiation spectrum. We investigate the final
stage of the evaporation process and show how the dynamics leads to the
formation of a massive remnant, which can eventually decay. Implications for
the information paradox are discussed.
