We present experimental results on the dielectric constant in orientational
glasses K1-xLixTaO3 (KLT) with x less than or equal to0.05, together with
the detailed (analytic and numerical) study of a model which attributes the
observed aging to the motion of the walls of polarization domains. We show
that the dielectric constant after a positive temperature jump goes throug
h a maximum as a function of the subsequent time. This observation and thos
e previously reported (aging, cooling rate dependence, etc.) are compared w
ith the predictions of the model, in which the variations of the dielectric
constant are attributed to the change of polarization domain wall area. Th
e total area decreases by domain growth and increases by nucleation of new
small domains inside the larger ones. These two opposite variations are bot
h hindered by static random fields (equivalent to energy barriers) due to t
he frozen dipoles borne by the off-center Li+ ions. Many results are well e
xplained by the model with a single energy barrier. However, some effects c
an only be understood if a broad distribution of energy barriers is assumed
. We use the experimental data to determine this distribution and find it t
o be unimodal with a width comparable to its most probable value.