  We study certain features of scaling behaviors of the mutual information
during a process of thermalization, more precisely we extend the time scaling
behavior of mutual information which has been discussed in
\cite{Alishahiha:2014jxa} to time-dependent hyperscaling violating geometries.
We use the holographic description of entanglement entropy for two disjoint
system consisting of two parallel strips whose widths are much larger than the
separation between them. We show that during the thermalization process, the
dynamical exponent plays a crucial rule in reading the general time scaling
behavior of mutual information (\emph{e.g.,} at the pre-local-equilibration
regime). It is shown that the scaling violating parameter can be employed to
define an effective dimension.
