  In statistical physics entropy is usually introduced as a global quantity
which expresses the amount of information that would be needed to specify the
microscopic configuration of a system. However, for lattice models with
infinitely many possible configurations per lattice site it is also meaningful
to introduce entropy as a local observable that describes the information
content of a single lattice site. Likewise, the mutual information can be
interpreted as a two-point correlation function. Studying a particular growth
model we demonstrate that the mutual information exhibits scaling properties
that are consistent with the established phenomenological scaling picture.
