  We provide analytical expressions for classical and total trace-norm
(Schatten 1-norm) geometric correlations in the case of two-qubit X states. As
an application, we consider the open-system dynamical behavior of such
correlations under phase and generalized amplitude damping evolutions. Then, we
show that geometric classical correlations can characterize the emergence of
the pointer basis of an apparatus subject to decoherence in either Markovian or
non-Markovian regimes. In particular, as a non-Markovian effect, we obtain a
time delay for the information to be retrieved from the apparatus by a
classical observer. Moreover, we show that the set of initial X states
exhibiting sudden transitions in the geometric classical correlation has
nonzero measure.
