Early Collective Expansion: Relativistic Hydrodynamics and the Transport Properties of QCD Matter

Heinz, Ulrich

doi:10.1007/978-3-642-01539-7_9

Cited by 46 publications

(69 citation statements)

References 249 publications

(545 reference statements)

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…This is one of the main motivations for the development of more and more detailed fluid dynamic simulations of relativistic heavy ion collisions in recent years, see e.g. [12][13][14][15] for recent reviews.…”

Section: Jhep11(2011)100mentioning

confidence: 99%

“…sions the range of validity of this effective fluid dynamical description is large and comprises bulk hadron production up to a few GeV in transverse momentum [12][13][14]. In this section, we recall first shortly the fluid dynamic equations of motion.…”

Section: Jhep11(2011)100mentioning

confidence: 99%

“…Assuming that the freeze-out takes place at some proper time τ fo when the average temperature drops below some freeze-out temperature 8 We note as an aside that phenomenologically more realistic choices of f (x, p) would be significantly more complex. In particular, they would contain information about the finite spatial extent of the matter distribution in the transverse and longitudinal distribution, they would supplement the ideal gas expression (7.1) by terms proportional to viscosity [12][13][14], and they may implement correct Fermi-Dirac or Bose-Einstein statistics instead of the Boltzmann distribution (7.1).…”

Section: Jhep11(2011)100mentioning

confidence: 99%

See 2 more Smart Citations

Fluctuations around Bjorken flow and the onset of turbulent phenomena

Floerchinger

Wiedemann

2011

J. High Energ. Phys.

View full text Add to dashboard Cite

We study how fluctuations in fluid dynamic fields can be dissipated or amplified within the characteristic spatio-temporal structure of a heavy ion collision. The initial conditions for a fluid dynamic evolution of heavy ion collisions may contain significant fluctuations in all fluid dynamical fields, including the velocity field and its vorticity components. We formulate and analyze the theory of local fluctuations around average fluid fields described by Bjorken's model. For conditions of laminar flow, when a linearized treatment of the dynamic evolution applies, we discuss explicitly how fluctuations of large wave number get dissipated while modes of sufficiently long wave-length pass almost unattenuated or can even be amplified. In the opposite case of large Reynold's numbers (which is inverse to viscosity), we establish that (after suitable coordinate transformations) the dynamics is governed by an evolution equation of non-relativistic Navier-Stokes type that becomes essentially two-dimensional at late times. One can then use the theory of Kolmogorov and Kraichnan for an explicit characterization of turbulent phenomena in terms of the wave-mode dependence of correlations of fluid dynamic fields. We note in particular that fluid dynamic correlations introduce characteristic power-law dependences in two-particle correlation functions.

show abstract

Section: Jhep11(2011)100mentioning

confidence: 99%

Section: Jhep11(2011)100mentioning

confidence: 99%

Section: Jhep11(2011)100mentioning

confidence: 99%

See 1 more Smart Citation

Fluctuations around Bjorken flow and the onset of turbulent phenomena

Floerchinger

Wiedemann

2011

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

“…Much effort has been focused on determining the QGP transport parameters, in particular its specific shear viscosity (η/s) QGP , i.e. the ratio between its shear viscosity η and entropy density s (see [8,9] for recent reviews).…”

Section: Introductionmentioning

confidence: 99%

Hydrodynamic flow in heavy-ion collisions with large hadronic viscosity

Shen

Heinz

2011

Phys. Rev. C

Self Cite

View full text Add to dashboard Cite

Using the (2+1)-dimensional viscous hydrodynamic code VISH2+1 with a temperature dependent specific shear viscosity (η/s)(T ), we present a detailed study of the influence of a large hadronic shear viscosity and its corresponding relaxation time τπ on the transverse momentum spectra and elliptic flow of hadrons produced in 200 A GeV Au+Au collisions. Although theory, in principle, predicts a well-defined relation τπT = κ(T ) × (η/s) (T ), the precise form of κ(T ) for the matter created in relativistic heavy-ion collisions is not known. For the popular choice κ = 3 the hadron spectra are found to be insensitive to a significant rise of η/s in the hadronic stage, whereas their differential elliptic flow v2(pT ) is strongly suppressed by large hadronic viscosity. The large viscous effects on v2 are strongly reduced if (as theoretically expected) κ(T ) is allowed to grow with decreasing temperature in the hadronic stage. This implies that, until reliable calculations of κ(T ) become available, an extraction of the hadronic shear viscosity from a comparison between VISH2+1 and a microscopic hadron cascade or experimental data requires a simultaneous fit of (η/s)(T ) and κ(T ).

show abstract

“…Certainly the bulk properties of hadrons are accurately modeled by a nearly ideal plasma, using hydrodynamics [1][2][3][4][5].…”

Section: Jhep10(2015)005mentioning

confidence: 99%

Dilepton and photon production in the presence of a nontrivial Polyakov loop

Hidaka¹,

Lin²,

Pisarski³

et al. 2015

J. High Energ. Phys.

View full text Add to dashboard Cite

Abstract:We calculate the production of dileptons and photons in the presence of a nontrivial Polyakov loop in QCD. This is applicable to the semi-Quark Gluon Plasma (QGP), at temperatures above but near the critical temperature for deconfinement. The Polyakov loop is small in the semi-QGP, and near unity in the perturbative QGP. Working to leading order in the coupling constant of QCD, we find that there is a mild enhancement, ∼ 20%, for dilepton production in the semi-QGP over that in the perturbative QGP. In contrast, we find that photon production is strongly suppressed in the semi-QGP, by about an order of magnitude, relative to the perturbative QGP. In the perturbative QGP photon production contains contributions from 2 → 2 scattering and collinear emission with the Landau-Pomeranchuk-Migdal (LPM) effect. In the semi-QGP we show that the two contributions are modified differently. The rate for 2 → 2 scattering is suppressed by a factor which depends upon the Polyakov loop. In contrast, in an SU(N ) gauge theory the collinear rate is suppressed by 1/N , so that the LPM effect vanishes at N = ∞. To leading order in the semi-QGP at large N , we compute the rate from 2 → 2 scattering to the leading logarithmic order and the collinear rate to leading order.

show abstract

Early Collective Expansion: Relativistic Hydrodynamics and the Transport Properties of QCD Matter

Cited by 46 publications

References 249 publications

Fluctuations around Bjorken flow and the onset of turbulent phenomena

Fluctuations around Bjorken flow and the onset of turbulent phenomena

Hydrodynamic flow in heavy-ion collisions with large hadronic viscosity

Dilepton and photon production in the presence of a nontrivial Polyakov loop

Contact Info

Product

Resources

About