M. Gyulassy et al., HOT-SPOTS AND TURBULENT INITIAL CONDITIONS OF QUARK-GLUON PLASMAS IN NUCLEAR COLLISIONS, Nuclear physics. A, 613(4), 1997, pp. 397-434
As a result of multiple mini-jet production, initial conditions of the
QCD plasma formed in ultrarelativistic nuclear collisions may be inho
mogeneous, with large fluctuations of the local energy density (hot sp
ots),and turbulent, with a chaotic initial transverse velocity field.
Assuming rapid local thermalization, the evolution of such plasmas is
computed using longitudinal boost-invariant (3+1)-dimensional hydrodyn
amics. We compare the evolution in case that the speed of sound in the
plasma is constant to one resulting from an equation of state involvi
ng a strong first-order transition, with a minimum of the velocity of
sound as a function of energy density, We find that azimuthally asymme
tric fluctuations and correlations of the transverse energy flow, dE(p
erpendicular to)/dy d phi, can develop in both cases due to the initia
l inhomogeneities. Hot spots also enhance significantly high-k(perpend
icular to) direct photon yields, In the case with a phase transition,
the hadronization surface evolves into an unusual foam-like structure.
Also in that case, we find that hadronization is considerably delayed
relative to the ideal gas case, just as previous studies have found f
or homogeneous initial conditions. The time-delay signature of a rapid
cross-over transition region in the QCD equation of state (as observa
ble via meson interferometry) is thus found to be remarkably robust to
uncertainties in the initial conditions in heavy-ion reactions.