Shear and bulk viscosities of the gluon plasma in a quasiparticle description

Bluhm, Marcus; Kämpfer, B.; Redlich, K.

doi:10.1103/physrevc.84.025201

Cited by 82 publications

(98 citation statements)

References 151 publications

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“…The trace anomaly ∆ is proportional to α 2 s [37]. There are many other works in which ∆ and η/s have been obtained separately [39][40][41][42]. [35].…”

Section: η/S and Trace Anomaly ∆mentioning

confidence: 99%

“…Therefore, jet quenching can tell us the properties of the created hot dense matter by the energetic partons passing through the medium and is defined by the jet quenching parameterq, which is related to another transport coefficient, the shear viscosity to entropy density ratio η/s [7,8]. Both η/s and ∆ have been obtained in quasiparticle models [9][10][11][12] and the Nambu-Jona-Lasinio model(NJL) as well.…”

Section: Introductionmentioning

confidence: 99%

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Transport coefficient to trace anomaly in the clustering of color sources approach

et al. 2016

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From our previously obtained shear viscosity to entropy density ratio (η/s) in the framework of clustering of color sources (Color String Percolation Model: CSPM), we calculate the jet quenching parameterq and trace anomaly ∆ = (ε − 3p)/T 4 as a function of temperature. It is shown that the scaledq/T 3 is in agreement with the recent JET Collaboration estimates. The inverse of η/s is found to represent ∆. The results for ∆ are in excellent agreement with Lattice Quantum Chromo Dynamics (LQCD) simulations. From the trace anomaly and energy density ǫ, the equation of state is obtained as a function of temperature and compared with LQCD simulations. It is possible that there is a direct connection between the η/s and ∆. Thus the estimate of transport coefficient η/s providesq and ∆ as a function of temperature. Both ∆ and η/s describe the transition from a strongly coupled QGP to a weakly coupled QGP.

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“…The trace anomaly ∆ is proportional to α 2 s [37]. There are many other works in which ∆ and η/s have been obtained separately [39][40][41][42]. [35].…”

Section: η/S and Trace Anomaly ∆mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Transport coefficient to trace anomaly in the clustering of color sources approach

et al. 2016

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“…Furtheremore, in order to take into account the thermodynamics from lQCD calculation, we employ the quasi-particle (QP) model [42] similarly to [53][54][55][56]. We recall that the aim of a quasi-particle model is to describe a strongly interacting systems in terms of quasiparticles weakly interacting whose masses are generated by the non-perturbative effects.…”

Section: Electric Conductivity Of Qgpmentioning

confidence: 99%

Electric conductivity from the solution of the relativistic Boltzmann equation

2014

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We present numerical results of electric conductivity σ el of a fluid obtained solving the Relativistic Transport Boltzmann equation in a box with periodic boundary conditions. We compute σ el using two methods: the definition itself, i.e. applying an external electric field, and the evaluation of the Green-Kubo relation based on the time evolution of the current-current correlator. We find a very good agreement between the two methods.We also compare numerical results with analytic formulas in Relaxation Time Approximation (RTA) where the relaxation time for σ el is determined by the transport cross section σtr, i.e. the differential cross section weighted with the collisional momentum transfer. We investigate the electric conductivity dependence on the microscopic details of the 2-body scatterings: isotropic and anisotropic cross-section, and massless and massive particles. We find that the RTA underestimates considerably σ el ; for example at screening masses mD ∼ T such underestimation can be as large as a factor of 2. Furthermore, we study a more realistic case for a quark-gluon system (QGP) considering both a quasi-particle model, tuned to lQCD thermodynamics, as well as the case of a pQCD gas with running coupling. Also for these cases more directly related to the description of the QGP system, we find that RTA significantly underestimate the σ el by about a 60 − 80%.

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“…Within a quasiparticle approximation, a kinetic theory treatment for the calculation of transport coefficient can be a reasonable approximation that we shall be following similar to that in Refs. [22,25,29,30,52]. The plasma can be described by a phase space density for for each species of particle.…”

Section: Thermodynamics Of Two-flavor Njl Model and Meson Massesmentioning

confidence: 99%

Estimating transport coefficients in hot and dense quark matter

2016

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We compute the transport coefficients, namely, the coefficients of shear and bulk viscosity as well as thermal conductivity for hot and dense quark matter. The calculations are performed within the Nambu-Jona Lasinio (NJL) model. The estimation of the transport coefficients is made using a quasiparticle approach of solving the Boltzmann kinetic equation within the relaxation time approximation. The transition rates are calculated in a manifestly covariant manner to estimate the thermal-averaged cross sections for quark-quark and quark-antiquark scattering. The calculations are performed for finite chemical potential also. Within the parameters of the model, the ratio of shear viscosity to entropy density has a minimum at the Mott transition temperature. At vanishing chemical potential, the ratio of bulk viscosity to entropy density, on the other hand, decreases with temperature with a sharp decrease near the critical temperature, and vanishes beyond it. At finite chemical potential, however, it increases slowly with temperature beyond the Mott temperature. The coefficient of thermal conductivity also shows a minimum at the critical temperature.

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Shear and bulk viscosities of the gluon plasma in a quasiparticle description

Cited by 82 publications

References 151 publications

Transport coefficient to trace anomaly in the clustering of color sources approach

Transport coefficient to trace anomaly in the clustering of color sources approach

Electric conductivity from the solution of the relativistic Boltzmann equation

Estimating transport coefficients in hot and dense quark matter

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