  The effect of Hawking radiation on the redistribution of the entanglement and
mutual information in the Schwarzschild spacetime is investigated. Our analysis
shows that the physically accessible correlations degrade while the
unaccessible correlations increase as the Hawking temperature increases because
the initial correlations described by inertial observers are redistributed
between all the bipartite modes. It is interesting to note that, in the limit
case that the temperature tends to infinity, the accessible mutual information
equals to just half of its initial value, and the unaccessible mutual
information between mode $A$ and $II$ also equals to the same value.
