  We investigate the dynamics of entanglement and quantum discord of two qubits
in liquid state homonuclear NMR. Applying a phenomenological description for
NMR under relaxation process, and taking a group of typical parameters of NMR,
we show that when a zero initial state $|00> $ experiences a relaxation
process, its entanglement disappears completely after a sequence of so-called
sudden deaths and revivals, while the quantum discord retains remarkable values
after a sequence of oscillations. That is to say, the quantum discord is more
robust than entanglement.
