Diffusion of Conserved Charges in Relativistic Heavy Ion Collisions

Greif, Moritz; Fotakis, Jan A.; Denicol, Gabriel S.; Greiner, Carsten

doi:10.1103/physrevlett.120.242301

Cited by 74 publications

(159 citation statements)

References 51 publications

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“…In the vicinity of T c the DQPM values for the diffusion coefficient are in agreement with the calculations within the Chapman-Enskog first-order approximation using cross-sections for massless quarks and gluons in Ref. [51]. However, for higher temperatures the ratio κ RT A B /T 2 grows with temperature in the DQPM while the Chapman-Enskog results stay approximately constant κ CE B /T 2 ∼ 0.048 for all temperatures.…”

Section: Baryon Diffusionsupporting

confidence: 86%

Transport coefficients for the hot quark-gluon plasma at finite chemical potential μB

2020

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We calculate transport coefficients of the quark-gluon plasma (QGP) within the dynamical quasiparticle model (DQPM) by explicitly computing the parton interaction rates as a function of temperature T and baryon chemical potential µB on the basis of the DQPM couplings and partonic propagators. The latter are extracted from lattice QCD by matching the equation of state, entropy density and energy density at µB= 0. For baryon chemical potentials 0 ≤ µB ≤ 500M eV we employ a scaling Ansatz for the effective coupling which was shown before to lead to thermodynamic consistent results in this range. We compute the ratio of the shear and bulk viscosities to the entropy density, i.e. η/s and ζ/s, the electric conductivity σ0/T as well as the baryon diffusion coefficient κB and compare to related approaches from the literature. We find that the ratios η/s and ζ/s as well as σ0/T are in accord with the results from lattice QCD at µB=0 and only weakly depend on the ratio T /Tc(µB) where Tc(µB) denotes the critical temperature at finite baryon chemical potential.

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Section: Baryon Diffusionsupporting

confidence: 86%

Transport coefficients for the hot quark-gluon plasma at finite chemical potential μB

2020

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“…L 11 and L 21 of each species, the Seebeck coefficient of the entire system can be found from Eq. (31). Before doing so, to get a feeling for L 11 , let us note that L 11 is related to the electrical conductivity as σ el = e 2 L 11 .…”

Section: Resultsmentioning

confidence: 99%

Thermoelectric effect and Seebeck coefficient for hot and dense hadronic matter

Bhatt¹,

Das²,

Mishra³

2019

Phys. Rev. D

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We investigate the thermoelectric effect for baryon rich plasma produced in heavy ion collision experiments. We estimate the associated Seebeck coefficient for the hadronic matter. Using kinetic theory within relaxation time approximation we calculate the Seebeck coefficient of a hadronic medium with a temperature gradient. The calculation is performed for hadronic matter modeled by the hadron resonance gas model with hadrons and resonance states up to a cutoff in the mass as 2.25 GeV. We argue that the thermoelectric current produced by such effect can produce a magnetic field in heavy ion collision experiments.

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“…Thus, a BQS equation of state is required for a fully consistent description of the Quark Gluon Plasma at finite densities. Relativistic hydrodynamics in the presence of multiple conserved charges obtains cross terms that affect the transport coefficients [44,57,58]. Thus, it is misleading to extract transport coefficients at finite baryon densities only considering finite baryon number and not also finite strangeness and electric charge.…”

Section: Discussionmentioning

confidence: 99%

“…However, a Taylor expansion of the equation of state, along a direction which satisfies the strangenessneutrality condition is not enough for the hydrodynamics approach, since the fluid cells have local fluctuations in strangeness density. Additionally, there is a complicated interplay between transport coefficients when B, Q, S are considered [44] that cannot be neglected at large baryon densities. For these reasons, an EoS fully expanded as a Taylor series in powers of µ B /T, µ S /T, µ Q /T is needed as an input of hydrodynamic simulations of the matter created at RHIC.…”

Section: Introductionmentioning

confidence: 99%

Lattice-based equation of state at finite baryon number, electric charge, and strangeness chemical potentials

Noronha-Hostler¹,

Parotto²,

Ratti³

et al. 2019

Phys. Rev. C

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We construct an equation of state for Quantum Chromodynamics (QCD) at finite temperature and chemical potentials for baryon number B, electric charge Q and strangeness S. We use the Taylor expansion method, up to the fourth power for the chemical potentials. This requires the knowledge of all diagonal and non-diagonal BQS correlators up to fourth order: these results recently became available from lattice QCD simulations, albeit only at a finite lattice spacing Nt = 12. We smoothly merge these results to the Hadron Resonance Gas (HRG) model, to be able to reach temperatures as low as 30 MeV; in the high temperature regime, we impose a smooth approach to the Stefan-Boltzmann limit. We provide a parameterization for each one of these BQS correlators as functions of the temperature. We then calculate pressure, energy density, entropy density, baryonic, strangeness, electric charge densities and compare the two cases of strangeness neutrality and µS = µQ = 0. Finally, we calculate the isentropic trajectories and the speed of sound, and compare them in the two cases. Our equation of state can be readily used as an input of hydrodynamical simulations of matter created at the Relativistic Heavy Ion Collider (RHIC).

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Diffusion of Conserved Charges in Relativistic Heavy Ion Collisions

Cited by 74 publications

References 51 publications

Transport coefficients for the hot quark-gluon plasma at finite chemical potential μB

Transport coefficients for the hot quark-gluon plasma at finite chemical potential μB

Thermoelectric effect and Seebeck coefficient for hot and dense hadronic matter

Lattice-based equation of state at finite baryon number, electric charge, and strangeness chemical potentials

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