Hydrodynamics during the Deconfinement Phase Transition from a Hadronic Gas to a Colorless QGP

Ladrem, M.; Zaki-Al-Full, Z.; Herbadji, S.; Al‐Hajry, A.; Umar, Ahmad; Alharbi, H. H.; Bouarissa, N.; Berriche, H.; El-Ghazaly, Mohammed

doi:10.1063/1.3638106

Cited by 3 publications

(12 citation statements)

References 2 publications

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“…Exactly as in the case of the results obtained in our previous work [2,22,23], the 4FSE cited above are observed. The variation of the different cumulants and cumulant ratios versus temperature are illustrated in Figs.…”

Section: Finite-size Cumulant Expansion: Results and Discussionsupporting

confidence: 83%

“…In this region, all thermodynamical quantities present an oscillatory behavior which becomes faster when approaching the thermodynamic limit. Our previous works [2,22,23] have shown that both h and ε T 4 exhibit a finite sharp discontinuity, which is related to the latent heat of the deconfinement phase transition, at bulk transition temperature T 0 (∞) = 90B 34π 2 …”

Section: Finite-size Cumulant Expansion: Results and Discussionmentioning

confidence: 99%

“…As we will see later, the mean value of any physical quantity Q(T, μ, V ) can therefore be calculated as a simple function of these L m,n (q) evaluated in the hadronic phase: L m,n (0) and in the CQGP phase: L m,n (1). Another important property of these L mn coefficients relies on the fact that any derivative within the T variable and V variable giving rise to other L m,n (q) coefficients, it is like making a connection between different L m,n (q) and mixing them in a simple recurrent relation [22,23].…”

Section: Exact Colorless Partition Functionmentioning

confidence: 99%

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Finite-volume cumulant expansion in QCD-colorless plasma

et al. 2015

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Due to the finite-size effects, the localization of the phase transition in finite systems and the determination of its order, become an extremely difficult task, even in the simplest known cases. In order to identify and locate the finite-volume transition point T 0 (V ) of the QCD deconfinement phase transition to a colorless QGP, we have developed a new approach using the finite-size cumulant expansion of the order parameter and the L mn -method. The first six cumulants C 1,2,3,4,5,6 with the corresponding under-normalized ratios (skewness , kurtosis κ, pentosis Π ± , and hexosis H 1,2,3 ) and three unnormalized combinations of them, (O = σ 2 κ −1 , U = σ −2 −1 , N = σ 2 κ) are calculated and studied as functions of (T, V ). A new approach, unifying in a clear and consistent way the definitions of cumulant ratios, is proposed. A numerical FSS analysis of the obtained results has allowed us to locate accurately the finite-volume transition point. The extracted transition temperature value T 0 (V ) agrees with that expected T N 0 (V ) from the order parameter and the thermal susceptibility χ T (T, V ), according to the standard procedure of localization to within about 2 %. In addition to this, a very good correlation factor is obtained proving the validity of our cumulants method. The agreement of our results with those obtained by means of other models is remarkable.

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Section: Finite-size Cumulant Expansion: Results and Discussionsupporting

confidence: 83%

Section: Finite-size Cumulant Expansion: Results and Discussionmentioning

confidence: 99%

Section: Exact Colorless Partition Functionmentioning

confidence: 99%

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Finite-volume cumulant expansion in QCD-colorless plasma

et al. 2015

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“…For this reason, one can consider the QCD deconfinement phase transition as a transition from local color confinement (d∼1fm) to global color confinement(d 1fm). When we insert the colorlessness condition in the MIT bag model [2] , we obtain the colorless QCD MIT-bag model using a mixed phase system evolving in a finite total volume V [4,5,6,3] . The fraction of volume occupied by the hadronic gas (HG) phase is given by V HG = hV, and then the remaining volume V CPP = (1 − h)V contains the colorless partonic plasma phase (CPP).…”

Section: Introductionmentioning

confidence: 99%

“…The hadronic partition function Z HG (h, V, T ) is just calculated for a massless pions gas. The final expressions of these partition functions can be found in [3,4,5,6] . Any physical system considered to study the QCD deconfinement phase transition certainly has a finite volume, so the finite size effects are inevitably present.…”

Section: Introductionmentioning

confidence: 99%

Colorless deconfinement from hot baryonic matter

Almalki

Alfull

Ladrem

2018

AIP Conference Proceedings

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Abstract. It is well established that Quantum Chromo-Dynamics (QCD) at finite temperature exhibits a typical behavior of a system with a phase transition. At sufficiently high temperatures and/or densities, the strongly interacting matter undergoes a Deconfinement Phase Transition from hadronic state to Partonic state. This new state has been observed and identified as being the QCD partonic plasma in Ultra-Relativistic Heavy Ion Collisions experiments at RHIC and LHC. All hadrons created in the final stage of Ultra-Relativistic Heavy Ion Collisions experiments are colorless. When we insert the colorlessness condition in the MIT bag model, we obtain our Colorless QCD MIT-bag model using a mixed phase system evolving in a finite total volume V . As we know, the low-temperature phase of hot QCD is dominated by pions, and instead of taking a massless pionic gas, we take massive pionic matter then massive baryonic matter as two better descriptions of the hadronic matter. We will investigate the mass effect on the order parameter of the colorless deconfinement phase transition. The chiral symmetry, which is broken in the transition region due to hadronic mass, is restored at high temperature. The larger the hadronic mass, the slower is the restoration of the chiral symmetry, leading to the dependence of the finite volume transition point on the hadronic mass T 0 (V, m HG ). Our results are in complete agreement with the experimental data and predictions of other models.

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Higher order cumulants in colorless partonic plasma

Cherif

Ahmed

Ladrem

2016

AIP Conference Proceedings

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Abstract. Any physical system considered to study the QCD deconfinement phase transition certainly has a finite volume, so the finite size effects are inevitably present. This renders the location of the phase transition and the determination of its order as an extremely difficult task, even in the simplest known cases. In order to identify and locate the colorless QCD deconfinement transition point in finite volume T 0 (V), a new approach based on the finite-size cumulant expansion of the order parameter and the L m,n -Method is used.We have shown that both cumulants of higher order and their ratios, associated to the thermodynamical fluctuations of the order parameter, in QCD deconfinement phase transition behave in a particular enough way revealing pronounced oscillations in the transition region. The sign structure and the oscillatory behavior of these in the vicinity of the deconfinement phase transition point might be a sensitive probe and may allow one to elucidate their relation to the QCD phase transition point. In the context of our model, we have shown that the finite volume transition point is always associated to the appearance of a particular point in whole higher order cumulants under consideration.

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Hydrodynamics during the Deconfinement Phase Transition from a Hadronic Gas to a Colorless QGP

Cited by 3 publications

References 2 publications

Finite-volume cumulant expansion in QCD-colorless plasma

Finite-volume cumulant expansion in QCD-colorless plasma

Colorless deconfinement from hot baryonic matter

Higher order cumulants in colorless partonic plasma

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