254 research outputs found
On the formation of Hubble flow in Little Bangs
A dynamical appearance of scaling solutions in the relativistic hydrodynamics
applied to describe ultra-relativistic heavy-ion collisions is studied. We
consider the boost-invariant cylindrically symmetric systems and the effects of
the phase transition are taken into account by using a temperature dependent
sound velocity inferred from the lattice simulations of QCD. We find that the
transverse flow acquires the scaling form r/t within the short evolution times,
10 - 15 fm, only if the initial transverse flow originating from the
pre-equilibrium collective behavior is present at the initial stage of the
hydrodynamic evolution. The amount of such pre-equilibrium flow is correlated
with the initial pressure gradient; larger gradients require smaller initial
flow. The results of the numerical calculations support the phenomenological
parameterizations used in the Blast-Wave, Buda-Lund, and Cracow models of the
freeze-out process.Comment: 11 page
Oscillations of the static meson fields at finite baryon density
The spatial dependence of static meson correlation functions at finite baryon
density is studied in the Nambu -- Jona - Lasinio model. In contrast to the
finite temperature case, we find that the correlation functions at finite
density are not screened but exhibit long-range oscillations. The observed
phenomenon is analogous to the Friedel oscillations in a degenerate electron
gas
Initial condition for hydrodynamics, partonic free streaming, and the uniform description of soft observables at RHIC
We investigate the role of the initial condition used for the hydrodynamic
evolution of the system formed in ultra-relativistic heavy-ion collisions and
find that an appropriate choice motivated by the models of early-stage
dynamics, specifically a simple two-dimensional Gaussian profile, leads to a
uniform description of soft observables measured in the Relativistic Heavy-Ion
Collider (RHIC). In particular, the transverse-momentum spectra, the
elliptic-flow, and the Hanbury-Brown--Twiss correlation radii, including the
ratio R_out/R_side as well as the dependence of the radii on the azimuthal
angle (azHBT), are properly described. We use the perfect-fluid hydrodynamics
with a realistic equation of state based on lattice calculations and the
hadronic gas at high and low temperatures, respectively. We also show that the
inclusion of the partonic free-streaming in the early stage allows to delay the
start of the hydrodynamical description to comfortable times of the order of 1
fm/c. Free streaming broadens the initial energy-density profile, but generates
the initial transverse and elliptic flow. The data may be described equally
well when the hydrodynamics is started early, or with a delay due to partonic
free-streaming.Comment: 4 pages, 4 figure
Temperature dependent sound velocity in hydrodynamic equations for relativistic heavy-ion collisions
We analyze the effects of different forms of the sound-velocity function
cs(T) on the hydrodynamic evolution of matter formed in the central region of
relativistic heavy-ion collisions. At high temperatures (above the critical
temperature Tc) the sound velocity is calculated from the recent lattice
simulations of QCD, while in the low temperature region it is obtained from the
hadron gas model. In the intermediate region we use different interpolations
characterized by the values of the sound velocity at the local maximum (at T =
0.4 Tc) and local minimum (at T = Tc). In all considered cases the temperature
dependent sound velocity functions yield the entropy density, which is
consistent with the lattice QCD simulations at high temperature. Our
calculations show that the presence of a distinct minimum of the sound velocity
leads to a very long (about 20 fm/c) evolution time of the system, which is not
compatible with the recent estimates based on the HBT interferometry. Hence, we
conclude that the hydrodynamic description is favored in the case where the
cross-over phase transition renders the smooth sound velocity function with a
possible shallow minimum at Tc.Comment: 6 pages, 3 figures, talk given at SQM'07 Levoca, Slovaki
A Fast Hadron Freeze-out Generator
We have developed a fast Monte Carlo procedure of hadron generation allowing
one to study and analyze various observables for stable hadrons and hadron
resonances produced in ultra-relativistic heavy ion collisions. Particle
multiplicities are determined based on the concept of chemical freeze-out.
Particles can be generated on the chemical or thermal freeze-out hypersurface
represented by a parameterization or a numerical solution of relativistic
hydrodynamics with given initial conditions and equation of state. Besides
standard space-like sectors associated with the volume decay, the hypersurface
may also include non-space-like sectors related to the emission from the
surface of expanding system. For comparison with other models and experimental
data we demonstrate the results based on the standard parameterizations of the
hadron freeze-out hypersurface and flow velocity profile under the assumption
of a common chemical and thermal freeze-out. The C++ generator code is written
under the ROOT framework and is available for public use at
http://uhkm.jinr.ru/.Comment: 28 pages,7 figure
Buda-Lund hydro model for ellipsoidally symmetric fireballs and the elliptic flow at RHIC
The ellipsoidally symmetric extension of Buda-Lund hydrodynamic model is
shown here to yield a natural description of the pseudorapidity dependence of
the elliptic flow , as determined recently by the PHOBOS experiment
for Au+Au collisions at and 200 GeV. With the same set of
parameters, the Buda-Lund model describes also the transverse momentum
dependence of of identified particles at mid-rapidity. The results
confirm the indication for quark deconfinement in Au+Au collisions at RHIC,
obtained from a successful Buda-Lund hydro model fit to the single particle
spectra and two-particle correlation data, as measured by the BRAHMS, PHOBOS,
PHENIX and STAR collaborations.Comment: 16 pages, 2 figures, 1 table added, discussion extended and an
important misprint in the caption of Fig. 1 is correcte
Production of resonances in a thermal model: invariant-mass spectra and balance functions
We present a calculation of the pi+ pi- invariant-mass correlations and the
pion balance functions in the single-freeze-out model. A satisfactory agreement
with the data for Au+Au collisions is found.Comment: Contribution to QM 2004 (4 pages, 2 figures
Quark Potential in a Quark-Meson Plasma
We investigate quark potential by considering meson exchanges in the two
flavor Nambu--Jona-Lasinio model at finite temperature and density. There are
two kinds of oscillations in the chiral restoration phase, one is the Friedel
oscillation due to the sharp quark Fermi surface at high density, and the other
is the Yukawa oscillation driven by the complex meson poles at high
temperature. The quark-meson plasma is strongly coupled in the temperature
region with being the critical temperature of
chiral phase transition. The maximum coupling in this region is located at the
critical point.Comment: 8 pages and 8 figure
Thermal analysis of production of resonances in relativistic heavy-ion collisions
Production of resonances is considered in the framework of the
single-freeze-out model of ultra-relativistic heavy ion collisions. The
formalism involves the virial expansion, where the probability to form a
resonance in a two-body channel is proportional to the derivative of the
phase-shift with respect to the invariant mass. The thermal model incorporates
longitudinal and transverse flow, as well as kinematic cuts of the STAR
experiment at RHIC. We find that the shape of the pi+ pi- spectral line
qualitatively reproduces the preliminary experimental data when the position of
the rho peak is lowered. This confirms the need to include the medium effects
in the description of the RHIC data. We also analyze the transverse-momentum
spectra of rho, K*(892), and f_0(980), and find that the slopes agree with the
observed values. Predictions are made for eta, eta', omega, phi, Lambda(1520),
and Sigma(1385).Comment: minor modifications, a reference adde
Chiral symmetry breaking in hot matter
This series of three lectures covers (a) a basic introduction to symmetry
breaking in general and chiral symmetry breaking in QCD, (b) an overview of the
present status of lattice data and the knowlegde that we have at finite
temperature from chiral perturbation theory. (c) Results obtained from the
Nambu--Jona-Lasinio model describing static mesonic properties are discussed as
well as the bulk thermodynamic quantities. Divergences that are observed in the
elastic quark-antiquark scattering cross-section, reminiscent of the phenomenon
of critical opalescence in light scattering, is also discussed. (d) Finally, we
deal with the realm of systems out of equilibrium, and examine the effects of a
medium dependent condensate in a system of interacting quarks.Comment: 62 LaTex pages, incorporating 23 figures. Lectures given at the
eleventh Chris-Engelbrecht Summer School in Theoretical Physics, 4-13
February, 1998, to be published by Springer Verla
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