Transport theory of the quark-gluon plasma based on an operator-field Langevin equation

Mizutani, Manabu; Muroya, Shin; Namiki, Mikio

doi:10.1103/physrevd.37.3033

Cited by 23 publications

(24 citation statements)

References 22 publications

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“…This temperature is sufficiently near the QCD (pseudo)critical temperature, at which the bulk viscous coefficient is expected to be large [24,25]. At T f = 0.160 GeV, Eqs.…”

Section: Resultsmentioning

confidence: 97%

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Effects of bulk viscosity at freezeout

2009

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We investigate particle spectra and elliptic flow coefficients in relativistic heavy-ion collisions by taking into account the distortion of phase space distributions by bulk viscosity at freezeout. We first calculate the distortion of phase space distributions in a multicomponent system with Grad's 14-moment method. We find some subtle issues when macroscopic variables are matched with microscopic momentum distributions in a multicomponent system, and we develop a consistent procedure to uniquely determine the corrections to the phase space distributions. Next, we calculate particle spectra by using the Cooper-Frye formula to see the effect of the bulk viscosity. Despite the relative smallness of the bulk viscosity, we find that it is likely to have a visible effect on particle spectra and elliptic flow coefficients. This indicates the importance of taking into account bulk viscosity together with shear viscosity to constrain the transport coefficients with better accuracy from comparison with experimental data.

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“…This temperature is sufficiently near the QCD (pseudo)critical temperature, at which the bulk viscous coefficient is expected to be large [24,25]. At T f = 0.160 GeV, Eqs.…”

Section: Resultsmentioning

confidence: 97%

“…Transport coefficients are needed to estimate the macroscopic variables and π µν in Eqs. (24) and (25). The models for the shear viscosity η and the bulk viscosity ζ are taken from Refs.…”

Section: A Equation Of State and Transport Coefficientsmentioning

confidence: 99%

Effects of bulk viscosity at freezeout

2009

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“…In a previous paper we formulated a semiphenomenological transport theory based on a quantum Langevin equation which enables us t o evaluate the temperature dependencies of transport coefficients using the parameters common to thermodynamical quantities [9]. Based on this semiphenomenological transport theory, we introduced a model equation of state with a QCD phase transition-like behavior and analyzed numerically the space-time evolution of a (l+l)-dimensional viscous quark-gluon fluid [lo].…”

Section: Introductionmentioning

confidence: 99%

Hydrodynamical-model analysis of the (3+1)-dimensional cylindrically symmetric baryon-rich quark-gluon plasma with phase transition

Ishii

Muroya

1992

Phys. Rev. D

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We analyze numerically the space-time evolution of a baryon-rich quark-gluon plasma fluid by means of a hydrodynamical model which takes account of a net baryon-number conservation law. We first introduce a simple effective equation of state that gives QCD phase-transition-like behavior of thermodynamical quantities on the T -p plane (here T is temperature and p is the chemical potential for the net baryon number.) This equation of state is based on a semiphenomenological quantum Langevin equation. Numerically solving the hydrodynamical equation coupled with the net baryon-number current density conservation law using the model equation of state, we discuss in detail the space-time evolution of the thermodynamical quantities and the local four-velocity of a baryon-rich quark-gluon plasma fluid. Finally we apply our hydrodynamical model to the recent experimental results from the CERN NA35 S+S 200 GeVIA collisions and discuss the possible occurrence of a quark-gluon plasma phase. PACS number(s): 12.38. Mh, 47.75.+f

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“…The latter one is automatically obtained from the conformal nature of the theory; • η/s = O(0.1−1) for gluonic matter is obtained from the lattice calculations of pure SU(3) gauge theory [26]; • Bulk viscosity has a prominent peak around T c resulting from trace anomaly of QCD [27,28] (see also a phenomenological approach in Ref. [29]). …”

Section: Question 5: Derive Equation (58)mentioning

confidence: 99%

Hydrodynamics and Flow

Hirano

Kolk

Bilandzic

2009

Lecture Notes in Physics

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In this lecture note, we present several topics on relativistic hydrodynamics and its application to relativistic heavy ion collisions. In the first part we give a brief introduction to relativistic hydrodynamics in the context of heavy ion collisions. In the second part we present the formalism and some fundamental aspects of relativistic ideal and viscous hydrodynamics. In the third part, we start with some basic checks of the fundamental observables followed by discussion of collective flow, in particular elliptic flow, which is one of the most exciting phenomenon in heavy ion collisions at relativistic energies. Next we discuss how to formulate the hydrodynamic model to describe dynamics of heavy ion collisions. Finally, we conclude the third part of the lecture note by showing some results from ideal hydrodynamic calculations and by comparing them with the experimental data.Comment: 40 pages, 35 figures; lecture given at the QGP Winter School, Jaipur, India, Feb.1-3, 2008; to appear in Springer Lecture Notes in Physic

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Transport theory of the quark-gluon plasma based on an operator-field Langevin equation

Cited by 23 publications

References 22 publications

Effects of bulk viscosity at freezeout

Effects of bulk viscosity at freezeout

Hydrodynamical-model analysis of the (3+1)-dimensional cylindrically symmetric baryon-rich quark-gluon plasma with phase transition

Hydrodynamics and Flow

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