Hadronic Shear Viscosity: A Comparison between the Green-Kubo and Chapmann Enskog Methods

Demir, Nasser; Wiranata, Anton

doi:10.1088/1742-6596/535/1/012018

Cited by 14 publications

(8 citation statements)

References 26 publications

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“…( 16). See also the Green's-Kubo formula for the shear viscosity, as for the conductivity coefficient [15,33].…”

Section: Discussionmentioning

confidence: 99%

“…Substituting the overdamped solution for the sound velocity [Eq. (33)], from Eq. (C.9) one obtains Eq.…”

Section: Discussionmentioning

confidence: 99%

“…Note that our method can also be presented within the linear response-function theory [15,28,32] (cf. the Kubo formulas for the diffusion, thermal conductivity, and viscosity; see also the recent article [33]).…”

Section: Kinetic Approachmentioning

confidence: 99%

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Shear viscosity of nuclear matter

et al. 2016

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Shear viscosity η is calculated for the nuclear matter described as a system of interacting nucleons with the van der Waals (VDW) equation of state. The Boltzmann-Vlasov kinetic equation is solved in terms of the plane waves of the collective overdamped motion. In the frequent-collision regime, the shear viscosity depends on the particle-number density n through the mean-field parameter a, which describes attractive forces in the VDW equation. In the temperature region T = 15−40 MeV, a ratio of the shear viscosity to the entropy density s is smaller than 1 at the nucleon number density n = (0.5 − 1.5) n 0 , where n 0 = 0.16 fm −3 is the particle density of equilibrium nuclear matter at zero temperature. A minimum of the η/s ratio takes place somewhere in a vicinity of the critical point of the VDW system. Large values of η/s ≫ 1 are, however, found in both the low-density, n ≪ n 0 , and high-density, n > 2n 0 , regions. This makes the ideal hydrodynamic approach inapplicable for these densities.

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“…( 16). See also the Green's-Kubo formula for the shear viscosity, as for the conductivity coefficient [15,33].…”

Section: Discussionmentioning

confidence: 99%

“…Substituting the overdamped solution for the sound velocity [Eq. (33)], from Eq. (C.9) one obtains Eq.…”

Section: Discussionmentioning

confidence: 99%

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Shear viscosity of nuclear matter

et al. 2016

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“…In the present work, we have studied the charge and thermal transport coefficients in presence of weak magnetic field at finite chemical potential. These transport coefficients can be calculated using different approaches/models, viz, NJL model [41][42][43], Chapmann-Enskog approximation [44][45][46], the correlator technique using Green-Kubo formula [47][48][49][50], effective fugacity model [51,52], lattice simulation [53][54][55], relativistic Boltzmann transport equation [56]. However, we have used the kinetic theory approach by solving the relativistic Boltzmann transport equation.…”

Section: Introductionmentioning

confidence: 99%

Chirality dependence in charge and heat transport in thermal QCD

Patra

2021

Preprint

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We investigate the transport of charge and heat in a baryon asymmetric hot QCD medium in the presence of a magnetic field. When the magnetic field strength becomes weak, some novel phenomenological aspects emerge in the transport phenomena, particularly: A) The degeneracy in leftand right-handed chiral modes of quarks gets lifted. B) Hall effect in both electrical and thermal transport develops. Both the transport coefficients assume a tensorial structure, where diagonal elements represent the longitudinal conductivities (σ Ohmic and κ0) and off-diagonal elements represent their Hall counterparts (σ Hall and κ1). The B dependent quasiparticle parton masses serve as an input for the evaluation of charge and thermal transport properties of the medium, quantified by the electrical and Hall conductivities, and the longitudinal and transverse thermal conductivities. The Ohmic conductivity (σ Ohmic ) decreases whereas the Hall conductivity (σ Hall ) increases with magnetic field strength. There is also a rise in both the conductivities with increase in quark chemical potential. The coefficient κ0 decreases with magnetic field whereas κ1 increases with magnetic field similar to the trends followed by the Ohmic and Hall conductivities. The degree of baryonic asymmetry positively amplifies both κ0 and κ1. The value of the Knudsen number (Ω0 and Ω1) is found to be less than unity for the entire temperature range considered. Further, we find that the Lorenz number κ 0 σ Ohmic T and Hall Lorenz number κ 1 σ Hall T do not remain constant with temperature, rather increase, hence violating the Wiedemann-Franz law.

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“…As well known, the transport coefficients, such as the thermal conductivity, diffusion, and viscosity, can be defined as the linear responses on small perturbations of equilibrium systems [1][2][3][4]. Let us consider a classical gas system of hard-sphere particles.…”

Section: Introductionmentioning

confidence: 99%

Viscosity of a classical gas: The rare-collision versus the frequent-collision regime

2017

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The shear viscosity η for a dilute classical gas of hard-sphere particles is calculated by solving the Boltzmann kinetic equation in terms of the weakly absorbed plane waves. For the rare-collision regime, the viscosity η as a function of the equilibrium gas parameters -temperature T , particle number density n, particle mass m, and hard-core particle diameter d -is quite different from that of the frequent-collision regime, e.g. , from the well-known result of Chapman and Enskog. An important property of the rare-collision regime is the dependence of η on the external ("nonequilibrium") parameter ω, frequency of the sound plane wave, that is absent in the frequent-collision regime at leading order of the corresponding perturbation expansion. A transition from the frequent to the rare-collision regime takes place when the dimensionless parameter nd 2 (T /m) 1/2 ω −1 goes to zero.

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Hadronic Shear Viscosity: A Comparison between the Green-Kubo and Chapmann Enskog Methods

Cited by 14 publications

References 26 publications

Shear viscosity of nuclear matter

Shear viscosity of nuclear matter

Chirality dependence in charge and heat transport in thermal QCD

Viscosity of a classical gas: The rare-collision versus the frequent-collision regime

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