Transport coefficients of hot magnetized QCD matter beyond the lowest Landau level approximation

Kurian, Manu; Mitra, Sukanya; Ghosh, Snigdha; Chandra, Vinod

doi:10.1140/epjc/s10052-019-6649-z

Cited by 76 publications

(58 citation statements)

References 98 publications

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“…In the presence of the magnetic field, the shear and bulk viscosities have been previously determined using various approaches and techniques, viz. the correlator technique using Kubo formula [41,47], the perturbative QCD approach in weak magnetic field [48], the Chapman-Enskog method with effective fugacity approach [49] and the holographic setup [50][51][52][53]. In this work, we are going to calculate these viscosities by using the kinetic theory approach in the relaxation time approximation, where we have considered the interactions among particles through their effective masses in the quasiparticle model at strong magnetic field and finite chemical potential.…”

Section: (): V-volmentioning

confidence: 99%

Viscous properties of hot and dense QCD matter in the presence of a magnetic field

Rath

Patra

2021

Eur. Phys. J. C

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We have studied the effect of strong magnetic field on the viscous properties of hot QCD matter at finite chemical potential by calculating the shear viscosity ($$\eta $$ η ) and the bulk viscosity ($$\zeta $$ ζ ). The viscosities have been calculated using the relativistic Boltzmann transport equation within the relaxation time approximation. The interactions among partons are incorporated through their quasiparticle masses at finite temperature, strong magnetic field and finite chemical potential. From this study, one can understand the influence of strong magnetic field and the influence of chemical potential on the sound attenuation through the Prandtl number (Pl), on the nature of the flow by the Reynolds number (Rl), and on the relative behavior between the shear viscosity and the bulk viscosity through the ratio $$\zeta /\eta $$ ζ / η . We have observed that, both shear and bulk viscosities get increased in the presence of a strong magnetic field and the additional presence of chemical potential further enhances their magnitudes. With the increase of temperature, $$\eta $$ η increases for the medium in the presence of a strong magnetic field as well as for the isotropic medium in the absence of magnetic field, whereas $$\zeta $$ ζ is found to decrease with the temperature, contrary to its increase in the absence of magnetic field. We have observed that, the Prandtl number gets increased in the presence of strong magnetic field and finite chemical potential as compared to that in the isotropic medium, but it always remains larger than unity, thus instead of the thermal diffusion, the momentum diffusion largely affects the sound attenuation in the medium and this is more vigorous in the presence of both strong magnetic field and finite chemical potential. However, the Reynolds number becomes lowered than unity in an ambience of strong magnetic field and even gets further decreased in an additional presence of chemical potential, thus it implies the dominance of kinematic viscosity over the characteristic length scale of the system. Finally, the ratio $$\zeta /\eta $$ ζ / η is amplified to the value larger than unity, contrary to its value in the absence of magnetic field and chemical potential where it is less than unity, thus it is inferred that the bulk viscosity prevails over the shear viscosity for the hot and dense QCD matter in the presence of a strong magnetic field.

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Section: (): V-volmentioning

confidence: 99%

Viscous properties of hot and dense QCD matter in the presence of a magnetic field

Rath

Patra

2021

Eur. Phys. J. C

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“…are taken as input to the RMHD simulation, but they are determined from an underlying microscopic theory in refs. [28][29][30][31][32][33][34][35][36]. It is a well known fact that a straightforward extension of non-relativistic viscous fluid formulations (a.k.a.…”

Section: Introductionmentioning

confidence: 99%

Relativistic non-resistive viscous magnetohydrodynamics from the kinetic theory: a relaxation time approach

Panda

Dash

Biswas

et al. 2021

J. High Energ. Phys.

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We derive the relativistic non-resistive, viscous second-order magnetohydrodynamic equations for the dissipative quantities using the relaxation time approximation. The Boltzmann equation is solved for a system of particles and antiparticles using Chapman-Enskog like gradient expansion of the single-particle distribution function truncated at second order. In the first order, the transport coefficients are independent of the magnetic field. In the second-order, new transport coefficients that couple magnetic field and the dissipative quantities appear which are different from those obtained in the 14-moment approximation [1] in the presence of a magnetic field. However, in the limit of the weak magnetic field, the form of these equations are identical to the 14-moment approximation albeit with different values of these coefficients. We also derive the anisotropic transport coefficients in the Navier-Stokes limit.

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“…Another transport coefficient is the thermal conductivity, that is associated with the heat flow or thermal diffusion in a medium. According to the estimation of effective fugacity model [32], κ becomes larger in the presence of magnetic field. In this work, we have followed the kinetic theory approach to calculate the electrical and thermal conductivities in the presence of strong magnetic field and finite chemical potential.…”

Section: Introductionmentioning

confidence: 99%

Effect of magnetic field on the charge and thermal transport properties of hot and dense QCD matter

Rath

Patra

2020

Eur. Phys. J. C

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We have studied the effect of strong magnetic field on the charge and thermal transport properties of hot QCD matter at finite chemical potential. For this purpose, we have calculated the electrical conductivity ($$\sigma _\mathrm{el}$$σel) and the thermal conductivity ($$\kappa $$κ) using kinetic theory in the relaxation time approximation, where the interactions are subsumed through the distribution functions within the quasiparticle model at finite temperature, strong magnetic field and finite chemical potential. This study helps to understand the impacts of strong magnetic field and chemical potential on the local equilibrium by the Knudsen number ($$\Omega $$Ω) through $$\kappa $$κ and on the relative behavior between thermal conductivity and electrical conductivity through the Lorenz number (L) in the Wiedemann–Franz law. We have observed that, both $$\sigma _\mathrm{el}$$σel and $$\kappa $$κ get increased in the presence of strong magnetic field, and the additional presence of chemical potential further increases their magnitudes, where $$\sigma _\mathrm{el}$$σel shows decreasing trend with the temperature, opposite to its increasing behavior in the isotropic medium, whereas $$\kappa $$κ increases slowly with the temperature, contrary to its fast increase in the isotropic medium. The variation in $$\kappa $$κ explains the decrease of the Knudsen number with the increase of the temperature. However, in the presence of strong magnetic field and finite chemical potential, $$\Omega $$Ω gets enhanced and approaches unity, thus, the system may move slightly away from the equilibrium state. The Lorenz number ($$\kappa /(\sigma _\mathrm{el} T))$$κ/(σelT)) in the abovementioned regime of strong magnetic field and finite chemical potential shows linear enhancement with the temperature and has smaller magnitude than the isotropic one, thus, it describes the violation of the Wiedemann–Franz law for the hot and dense QCD matter in the presence of a strong magnetic field.

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Transport coefficients of hot magnetized QCD matter beyond the lowest Landau level approximation

Cited by 76 publications

References 98 publications

Viscous properties of hot and dense QCD matter in the presence of a magnetic field

Viscous properties of hot and dense QCD matter in the presence of a magnetic field

Relativistic non-resistive viscous magnetohydrodynamics from the kinetic theory: a relaxation time approach

Effect of magnetic field on the charge and thermal transport properties of hot and dense QCD matter

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