Transport coefficients of a hot pion gas

Davesne, D.

doi:10.1103/physrevc.53.3069

Cited by 69 publications

(138 citation statements)

References 9 publications

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“…The picture painted by massive versus massless pions is somewhat different. Figure 9 shows the results from [29] (see also [30]), which calculated the bulk viscosity from the elastic scattering of massive pions using experimentally inferred cross sections. As for the shear viscosity, the entropy density was calculated on the basis of a free gas of pions and η, ρ and ω mesons.…”

Section: Bulk Viscositymentioning

confidence: 99%

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Viscous Properties of Strongly Interacting Matter at High Temperature

Kapusta

2010

Relativistic Heavy Ion Physics

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Substantial collective flow is observed in collisions between large nuclei at high energy, and the data are well-reproduced by perfect fluid dynamics. In a separate development, calculation of the dimensionless ratio of shear viscosity η to entropy density within AdS/CFT yields η/s = 1/4π, which has been conjectured to be a lower bound for any physical system. It is shown that the transition from hadrons to quarks and gluons has behavior similar to helium, nitrogen, and water at and near their phase transitions in the ratio η/s. Conversely, there are indications that the ratio of bulk viscosity ζ to entropy density may have a maximum in the vicinity of the phase transition. Therefore it is possible that experimental measurements can pinpoint the location of the transition or rapid crossover in QCD via the ratios η/s and ζ/s in addition to and independently of the equation of state.

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Section: Bulk Viscositymentioning

confidence: 99%

“…(See also [30].) The twobody interactions used went beyond the chiral approximation, and included intermediate resonances such as the ρ-meson.…”

Section: Shear Viscositymentioning

confidence: 99%

Viscous Properties of Strongly Interacting Matter at High Temperature

Kapusta

2010

Relativistic Heavy Ion Physics

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“…Note that while Grad's 14-moment approximation has been widely employed in the formulation of a causal theory of relativistic dissipative hydrodynamics [4][5][6][7][8][9][10][11][12][13][14], the Chapman-Enskog method remains less explored [15][16][17][18][19]. On the other hand, the ChapmanEnskog formalism has been often used to extract various transport coefficients of hot hadronic matter [20][21][22][23][24] Although in both methods the distribution function is expanded around its equilibrium value f 0 (x, p), it has been demonstrated that the Chapman-Enskog method in the relaxation-time approximation (RTA) leads to better agreement with both microscopic Boltzmann simulations as well as exact solutions of the relativistic RTA Boltzmann equation [16][17][18][19]. This may be attributed to the fact that a fixed-order moment expansion, as required in Grad's approximation, is not necessary in the ChapmanEnskog method.…”

Section: Introductionmentioning

confidence: 99%

Relativistic quantum transport coefficients for second-order viscous hydrodynamics

et al. 2015

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We express the transport coefficients appearing in the second-order evolution equations for bulk viscous pressure and shear stress tensor using Bose-Einstein, Boltzmann, and Fermi-Dirac statistics for the equilibrium distribution function and Grad's 14-moment approximation as well as the method of Chapman-Enskog expansion for the non-equilibrium part. Specializing to the case of transversally homogeneous and boost-invariant longitudinal expansion of the viscous medium, we compare the results obtained using the above methods with those obtained from the exact solution of the massive 0+1d relativistic Boltzmann equation in the relaxation-time approximation. We show that compared to the 14-moment approximation, the hydrodynamic transport coefficients obtained by employing the Chapman-Enskog method leads to better agreement with the exact solution of the relativistic Boltzmann equation.

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“…In addition, in practice we generally use classical statistics. The lightest hadron for which this would be the most significant approximation is the pion, but even then the difference between Bose-Einstein and classical statistics have been shown to be inconsequential for the transport coefficients for zero chemical potential [57]. While some of the material here is not original, it is basic to developing the theoretical framework.…”

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confidence: 99%

Quasiparticle theory of shear and bulk viscosities of hadronic matter

2011

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A theoretical framework for the calculation of shear and bulk viscosities of hadronic matter at finite temperature is presented. The framework is based on the quasi-particle picture. It allows for an arbitrary number of hadron species with point-like interactions, and allows for both elastic and inelastic collisions. Detailed balance is ensured. The particles have temperature dependent masses arising from mean field or potential effects, which maintains self-consistency between the equation of state and the transport coefficients. As an example, we calculate the shear and bulk viscosity in the linear σ model. The ratio of shear viscosity to entropy density shows a minimum in the vicinity of a rapid crossover transition, while the ratio of bulk viscosity to entropy density shows a maximum.

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Transport coefficients of a hot pion gas

Cited by 69 publications

References 9 publications

Viscous Properties of Strongly Interacting Matter at High Temperature

Viscous Properties of Strongly Interacting Matter at High Temperature

Relativistic quantum transport coefficients for second-order viscous hydrodynamics

Quasiparticle theory of shear and bulk viscosities of hadronic matter

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