  The entropy and effective string tension of the moving heavy quark-antiquark
pair in the strongly coupled plasmas are calculated by using a deformed an
anti-de Sitter/Reissner-Nordstr$\ddot{o}$m black hole metric. A sharp peak of
the heavy-quarkonium entropy around the deconfinement transition can be
realized in our model, which is consistent with the lattice QCD result. The
effective string tension of the heavy quark-antiquark pair is related to the
deconfinement phase transition. Thus, we investigate the deconfinement phase
transition by analyzing the characteristics of the effective string tension
with different temperatures, chemical potentials, and rapidities. It is found
that the results of phase diagram calculated through effective string tension
are in agreement with results calculated through a Polyakov loop. We argue that
a moving system will reach the phase transition point at a lower temperature
and chemical potential than a stationary system. It means that the lifetime of
the moving QGP becomes longer than the static one.
