Rate equations are developed which describe the dynamics of a laser-excited
Rydberg electron under the influence of a fluctuating laser field in the l
imit of large laser bandwidths. These equations apply whenever all coherent
effects have already been damped out. The range of validity of these rate
equations is investigated in detail for the case of phase fluctuations. The
resulting asymptotic power laws are investigated which characterize the lo
ng-time dynamics of the laser-excited Rydberg electron and it is shown to w
hat extent these power laws depend on details of the laser spectrum.