The concept of hopping within a Gaussian density of localized states i
ntroduced earlier to rationalize charge transport in random organic ph
otoconductors is developed further to account for temporal features of
time of flight (TOF) signals. At moderate degree of energetic disorde
r (sigma/kT approximately 3.5...4.5) there is a transport regime inter
mediate between dispersive and quasi-Gaussian type whose signatures ar
e (i) universal TOF signals that can appear weakly dispersive despite
yielding a well defined carrier mobility and (ii) an asymmetric propag
ator of the carrier packet yielding a time dependent diffusivity.