  We present two-particle $p_{\rm t}$ correlations as a function of event
centrality for Au+Au collisions at $\sqrt{s_{\rm NN}}$ = 7.7, 11.5, 14.5, 19.6,
27, 39, 62.4, and 200 GeV at the Relativistic Heavy Ion Collider using the STAR
detector. These results are compared to previous measurements from CERES at the
Super Proton Synchrotron and from ALICE at the Large Hadron Collider. The data
are compared with UrQMD model calculations and with a model based on a
Boltzmann-Langevin approach incorporating effects from thermalization. The
relative dynamical correlations for Au+Au collisions at $\sqrt{s_{\rm NN}}$ =
200 GeV show a power law dependence on the number of participant nucleons and
agree with the results for Pb+Pb collisions at $\sqrt{s_{\rm NN}} = 2.76~ {\rm
TeV}$ from ALICE. As the collision energy is lowered from $\sqrt{s_{\rm NN}}$ =
200 GeV to 7.7 GeV, the centrality dependence of the relative dynamical
correlations departs from the power law behavior observed at the higher
collision energies. In central collisions, the relative dynamical correlations
increase with collision energy up to $\sqrt{s_{\rm NN}}$ = 200 GeV in contrast
to previous measurements that showed little dependence on the collision energy.
