  The relationship between anomalous superdiffusive behavior and particle
trapping probability is analyzed on a rocking ratchet potential with spatially
correlated weak disorder. The trapping probability density is shown,
analytically and numerically, to have an exponential form as a function of
space. The trapping processes with a low or no thermal noise are only
transient, but they can last much longer than the characteristic time scale of
the system and therefore might be detected experimentally. Using the result for
the trapping probability we obtain an analytical expression for the number of
wells where a given number of particles are trapped. We have also obtained an
analytical approximation for the second-moment of the particle distribution
function C2 as a function of time, when trapped particles coexist with constant
velocity untrapped particles. We also use the expression for C2 to characterize
the anomalous superdiffusive motion in the absence of thermal noise for the
transient time.
