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I study the space-time evolution of transverse flow and effectivetemperatures in the dense parton phase with the string melting version of amulti-phase transport model. Parameters of the model are first constrained toreproduce the bulk data on the rapidity density, $p_{\rm T}$ spectrum andelliptic flow at low $p_{\rm T}$ for central and mid-central Au+Au collisionsat $200A$ GeV and Pb+Pb collisions at $2760A$ GeV. I then calculate thetransverse flow and effective temperatures in volume cells withinmid-spacetime-rapidity $|\eta|<1/2$. I find that the effective temperaturesextracted from different variables, which are all evaluated in the rest frameof a volume cell, can be very different; this indicates that the parton systemin the model is not in full chemical or thermal equilibrium locally, even afteraveraging over many events. In particular, the effective temperatures extractedfrom the parton energy density or number density are often quite different thanthose extracted from the parton mean $p_{\rm T}$ or mean energy. For thesecollisions in general, effective temperatures extracted from the parton energydensity or number density are higher than those extracted from the parton mean$p_{\rm T}$ in the inner part of the overlap volume, while the opposite occursin the outer part of the overlap volume. I argue that this indicates that thedense parton matter in the inner part of the overlap volume is over-populated;I also find that all cells with energy density above 1 GeV/fm$^3$ areover-populated after a couple of fm/$c$.

Evolution of transverse flow and effective temperatures in the parton phase from a multi-phase transport model