We study the process of heat transfer through an entangled pair of two-level
system, demonstrating the role of quantum correlations in this nonequilibrium
process. While quantum correlations generally degrade with increasing the
temperature bias, introducing spatial asymmetry leads to an intricate behavior:
Connecting the qubits unequally to the reservoirs one finds that quantum
correlations persist and increase with the temperature bias when the system is
more weakly linked to the hot reservoir. In the reversed case, linking the
system more strongly to the hot bath, the opposite, more natural behavior is
observed, with quantum correlations being strongly suppressed upon increasing
the temperature bias