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Nuclear Theory · arXiv:1304.7154 v1 · submitted 26 Apr 2013

Parton-hadron matter in- and out-off equilibrium

E. L. Bratkovskaya, V. Ozvenchuk, W. Cassing, V. P. Konchakovski, O. Linnyk

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The paper says

“Within the PHSD calculations, the strong maximum of ζ(T)/η(T) close to Tc has to be attributed to mean-fields (or potential) effects that in PHSD are encoded in the temperature dependence of the quasiparticle masses, which is related to the infrared enhancement of the resummed (effective) coupling g(T).”

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The paper

Abstract

We study the shear and bulk viscosities of partonic and hadronic matter - as well as the electric conductivity - as functions of temperature T within the Parton-Hadron-String Dynamics (PHSD) off-shell transport approach. Dynamical hadronic and partonic systems in equilibrium are studied by the PHSD simulations in a finite box with periodic boundary conditions. The ratio of the shear viscosity to entropy density η(T)/s(T) from PHSD shows a minimum (with a value of about 0.1) close to the critical temperature Tc. For T < Tc, i.e. in the hadronic phase, the ratio η/s rises fast with decreasing temperature due to a lower interaction rate of the hadronic system and a significantly smaller number of degrees-of-freedom. The bulk viscosity ζ(T) – evaluated in the relaxation time approach – is found to strongly depend on the effects of mean fields (or potentials) in the partonic phase. We find a significant rise of the ratio ζ(T)/s(T) in the vicinity of the critical temperature Tc, when consistently including the scalar mean-field from PHSD, which is also in agreement with that from lQCD calculations. Furthermore, we present the results for the ratio (η + 3ζ/4)/s, which is found to depend non-trivially on temperature and to generally agree with the lQCD calculations as well. Within the PHSD calculations, the strong maximum of ζ(T)/η(T) close to Tc has to be attributed to mean-fields (or potential) effects that in PHSD are encoded in the temperature dependence of the quasiparticle masses, which is related to the infrared enhancement of the resummed (effective) coupling g(T). We also find that the dimensionless ratio of the electric conductivity over temperature σ0/T rises above Tc approximately linearly with T up to T = 2.5Tc, but approaches a constant above 5Tc, as expected qualitatively from perturbative QCD (pQCD).

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abstract compiled · 2026-09-23 · no language-model review

How the main claim is stated: asserted 1.00

What the abstract itself states, as probabilities: claims first 0.02 · states limitation 0.12 · human participants 0.01 · controlled comparison 0.06 · randomized assignment 0.01 · states quantitative result 0.98 · compares with prior results 0.95 · mentions code or data availability 0.02

The abstract, sentence by sentence

This table labels the abstract only (arXiv listing abstract v1). The number is the probability the classifier gave the label.

SentenceRoleThe authors' own workStates the main conclusionStrength
We study the shear and bulk viscosities of partonic and hadronic matter - as well as the electric conductivity - as functions of temperature $T$ within the Parton-Hadron-String Dynamics (PHSD) off-shell transport approach. contribution 1.00 0.95 0.06 asserted 0.87
Dynamical hadronic and partonic systems in equilibrium are studied by the PHSD simulations in a finite box with periodic boundary conditions. method 0.97 0.90 0.03 asserted 1.00
The ratio of the shear viscosity to entropy density $\eta(T)/s(T)$ from PHSD shows a minimum (with a value of about 0.1) close to the critical temperature $T_c$. result 1.00 0.95 0.33 asserted 1.00
For $T<T_c$, i.e. in the hadronic phase, the ratio $\eta/s$ rises fast with decreasing temperature due to a lower interaction rate of the hadronic system and a significantly smaller number of degrees-of-freedom. result 0.67 0.86 0.09 asserted 1.00
The bulk viscosity $\zeta(T)$ -- evaluated in the relaxation time approach -- is found to strongly depend on the effects of mean fields (or potentials) in the partonic phase. result 0.91 0.92 0.07 asserted 1.00
We find a significant rise of the ratio $\zeta(T)/s(T)$ in the vicinity of the critical temperature $T_c$, when consistently including the scalar mean-field from PHSD, which is also in agreement with that from lQCD calculations. result 1.00 0.96 0.18 asserted 1.00
Furthermore, we present the results for the ratio $(\eta+3\zeta/4)/s$, which is found to depend non-trivially on temperature and to generally agree with the lQCD calculations as well. result 1.00 0.96 0.11 asserted 0.99
Within the PHSD calculations, the strong maximum of $\zeta(T)/\eta(T)$ close to $T_c$ has to be attributed to mean-fields (or potential) effects that in PHSD are encoded in the temperature dependence of the quasiparticle masses, which is related to the infrared enhancement of the resummed (effective) coupling $g(T)$. interpretation 0.97 0.93 0.19 asserted 1.00
We also find that the dimensionless ratio of the electric conductivity over temperature $\sigma_0/T$ rises above $T_c$ approximately linearly with $T$ up to $T=2.5 T_c$, but approaches a constant above $5 T_c$, as expected qualitatively from perturbative QCD (pQCD). result 1.00 0.96 0.09 asserted 0.99

What kind of paper the classifier reports this is: simulation study 1.00 · evidence from simulation or computation 1.00

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How the labels were made

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 7,444 input tokens, $0.0003 reported.

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. This record as JSON

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What this paper does with the arXiv papers it cites

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers whose main result relates to this one's

Found among the papers closest to this one by title and main claim. Pith's classifier compared each pair's main results and a second model family confirmed the relation; checked against two further families, shown conflicts agreed 118 times in 120 and shown same results 218 times in 239. The quoted sentence is the other paper's main claim.

States the same result 1 paper

What it cites · 2 sentences without a confident label

Uses data or values from 1 paper
  • Here we briefly present the results from Ref. [ref] which are displayed in Fig. 3 (rhs) for the dimensionless ratio of the electric conductivity over temperature $σ_0/T$ which shows a pronounced minimum close to $T_c$ and approaches a constant at higher temperature.

    Electrical Conductivity of Hot QCD Matter · Electric conductivity · 0.84

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