Relativistic quantum transport coefficients for second-order viscous hydrodynamics

Florkowski, Wojciech; Jaiswal, Amaresh; Maksymiuk, Ewa; Ryblewski, Radosław; Strickland, Michael

doi:10.1103/physrevc.91.054907

Cited by 63 publications

(72 citation statements)

References 61 publications

(74 reference statements)

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“…This is different from the perturbative treatments of the weakly-coupled plasmas, which predict a quadratic scaling [49][50][51]. Surprisingly, our result seems to be in line with the results obtained in strongly-coupled theories using gauge theory/gravity duality [52][53][54].…”

Section: Bulk and Shear Viscosity And ζ/η Scalingsupporting

confidence: 68%

Transport phenomena in a plasma of confining gluons

Ryblewski

2016

EPJ Web Conf.

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Abstract. The plasma of confining gluons resulting from the Gribov quantization is considered. In the fluid dynamical framework the non-equilibrium properties of the system are studied. In the linear response approximation the formulas for the bulk, ζ, and shear, η, viscosities of the plasma are calculated analytically. Surprisingly, the approximate scaling of the ζ/η ratio reveals the strong-coupling properties of the system under consideration.

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Section: Bulk and Shear Viscosity And ζ/η Scalingsupporting

confidence: 68%

Transport phenomena in a plasma of confining gluons

Ryblewski

2016

EPJ Web Conf.

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“…For the sake of simplicity, we assume here the classical Boltzmann statistics. A generalisation of the present results to the case of the quantum Bose-Einstein and Fermi-Dirac statistics is straightforward [16,29]. The equilibrium distribution functions of the form (4) are used to define the RTA collision terms in (1) and (2).…”

Section: Kinetic Equationsmentioning

confidence: 99%

Anisotropic hydrodynamics for a mixture of quark and gluon fluids

et al. 2015

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A system of equations for anisotropic hydrodynamics is derived that describes a mixture of anisotropic quark and gluon fluids. The consistent treatment of the zeroth, first and second moments of the kinetic equations allows us to construct a new framework with more general forms of the anisotropic phase-space distribution functions than those used before. In this way, the main difficiencies of the previous formulations of anisotropic hydrodynamics for mixtures have been overcome and the good agreement with the exact kinetic-theory results is obtained.

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“…The calculation of such coefficients has attracted much attention lately (see [12] for a recent review), especially in conformal field theories [13][14][15] with different techniques [16,17] (see also ref. [18]). The coefficients that we have denoted by D α , D w , A and W are in the following relation with those known as ξ 3 , ξ 4 , λ 3 , λ 4 in literature:…”

Section: A Relation With Other Second-order Hydrodynamical Coefficiementioning

confidence: 99%

Quantum corrections to the stress-energy tensor in thermodynamic equilibrium with acceleration

Becattini¹,

Grossi²

2015

Phys. Rev. D

141

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We show that the stress-energy tensor has additional terms with respect to the ideal form in states of global thermodynamic equilibrium in flat spacetime with non-vanishing acceleration and vorticity. These corrections are of quantum origin and their leading terms are second order in the gradients of the thermodynamic fields. Their relevant coefficients can be expressed in terms of correlators of the stress-energy tensor operator and the generators of the Lorentz group. With respect to previous assessments, we find that there are more second order coefficients and that all thermodynamic functions including energy density receive acceleration and vorticity dependent corrections. Notably, also the relation between ρ and p, that is the equation of state, is affected by acceleration and vorticity. We have calculated the corrections for a free real scalar field -both massive and massless -and we have found that they increase, particularly for a massive field, at very high acceleration and vorticity and very low temperature. Finally, these non-ideal terms depend on the explicit form of the stress-energy operator, implying that different stress-energy tensor of the scalar field -canonical or improved -are thermodynamically inequivalent.

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Relativistic quantum transport coefficients for second-order viscous hydrodynamics

Cited by 63 publications

References 61 publications

Transport phenomena in a plasma of confining gluons

Transport phenomena in a plasma of confining gluons

Anisotropic hydrodynamics for a mixture of quark and gluon fluids

Quantum corrections to the stress-energy tensor in thermodynamic equilibrium with acceleration

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