1. "Early evolution of transversally thermalized partons"
by Wojciech Florkowski (INP Cracow & IF AS Kielce, Poland)
The idea that the parton system created in relativistic heavy-ion collisions
(i) emerges in a state with transverse momenta close to thermodynamic
equilibrium and (ii) its evolution at early times is dominated by the two-
dimensional (transverse) hydrodynamics is investigated and shown to be
consistent with data. It is argued that this mechanism may help to solve the
HBT puzzle and the problem of early equilibration.
Our conclusions differ from those obtained earlier by Heinz and Wong. Apart
from certain technical details, there are essentially two reasons for this
discrepancy. Firstly, we assume that during the evolution the systems obeys
the rules of truly two-dimensional thermodynamics. Secondly, we confront our
results on v2 with the experimental data, whereas Heinz and Wong made a
comparison with earlier three-dimensional hydrodynamic calculations.
2. "Elliptic flow from a transversally thermalized fireball"
Ulrich Heinz (CERN & Ohio State University)
The agreement of elliptic flow data at RHIC at central rapidity
with the hydrodynamic model has led to the conclusion of very rapid
thermalization. This conclusion is based on the intuitive argument that
hydrodynamics, which assumes instantaneous local thermalization, produces
the largest possible elliptic flow values and that the data seem to
saturate this limit. In 2002, S.M.H. Wong and I investigated the question
whether incompletely thermalized viscous systems may actually produce more
elliptic flow than ideal hydrodynamics. Motivated by the extremely fast
primordial longitudinal expansion of the reaction zone, we studied a toy
model which exhibits thermalization only in the transverse directions but
undergoes collisionless free-streaming expansion in the longitudinal
direction. For collisions at RHIC energies, elliptic flow results from the
model were compared with those from hydrodynamics. Our important
conclusion, believed to be generic, was that, with the final particle
yield and k_T-distribution fixed, the transversally thermalized model was
not able to produce the measured amount of elliptic flow. I will report on
this work, point out differences with the recent paper by Bialas,
Chojnacki and Florkowski who come to different conclusions, and also tie
our 2002 result to recent findings that viscous hydrodynamics generically
produces less elliptic flow than ideal fluid dynamics.