scholarly journals κ-DEFORMED STATISTICS AND THE FORMATION OF A QUARK-GLUON PLASMA

2003 ◽  
Vol 12 (05) ◽  
pp. 669-673 ◽  
Author(s):  
A. M. TEWELDEBERHAN ◽  
H. G. MILLER ◽  
R. TEGEN
Keyword(s):  
Critical Temperature ◽  
Statistical Mechanics ◽  
Quark Gluon Plasma ◽  
Chemical Potential ◽  
Gluon Plasma ◽  
Extensive Form ◽  
Small Deviations

The effect of the non-extensive form of statistical mechanics proposed by Tsallis on the formation of a quark-gluon plasma (QGP) has been recently investigated in Ref. 1. The results show that for small deviations (≈ 10%) from Boltzmann–Gibbs (BG) statistics in the QGP phase, the critical temperature for the formation of a QGP does not change substantially for a large variation of the chemical potential. In the present paper we use the extensive κ-deformed statistical mechanics constructed by Kaniadakis to represent the constituents of the QGP and compare the results with Ref. 1.

scholarly journals Generalized Statistics and the Formation of a Quark-Gluon Plasma

2003 ◽  
Vol 12 (03) ◽  
pp. 395-405 ◽  
Author(s):  
A. M. Teweldeberhan ◽  
H. G. Miller ◽  
R. Tegen
Keyword(s):  
Phase Transition ◽  
Phase Diagram ◽  
Statistical Mechanics ◽  
Long Range ◽  
Quark Gluon Plasma ◽  
Gluon Plasma ◽  
Extensive Form ◽  
Small Deviations ◽  
Long Range Interactions ◽  
Dominant Part

The aim of this paper is to investigate the effect of a non-extensive form of statistical mechanics proposed by Tsallis on the formation of a quark-gluon plasma (QGP). We suggest to account for the effects of the dominant part of the long-range interactions among the constituents in the QGP by a change in the statistics of the system in this phase, and we study the relevance of this statistics for the phase transition. The results show that small deviations (≈ 10%) from Boltzmann–Gibbs statistics in the QGP produce a noticeable change in the phase diagram, which can, in principle, be tested experimentally.

Study and Investigation of Hard Photons Emission in Heavy Ion Collisions

2021 ◽  
Vol 19 (2) ◽  
pp. 61-65
Author(s):  
Taghreed A. Younis ◽  
Hadi J.M. Al-Agealy
Keyword(s):  
Critical Temperature ◽  
Quark Gluon Plasma ◽  
Heavy Ion Collisions ◽  
Heavy Ion ◽  
Gluon Plasma ◽  
Heavy Ion Collision ◽  
Hard Photon ◽  
Ion Collisions ◽  
Strength Models ◽  
Ion Collision

This work involves hard photon rate production from quark -gluon plasma QGP interaction in heavy ion collision. Using a quantum chromodynamic model to investigate and calculation of photons rate in 𝑐𝑔 → 𝑠𝑔𝛾 system due to strength coupling, photons rate, temperature of system, flavor number and critical. The photons rate production computed using the perturbative strength models for QGP interactions. The strength coupling was function of temperature of system, flavor number and critical temperature. Its influenced by force with temperature of system, its increased with decreased the temperature and vice versa. The strength coupling has used to examine the confinement and deconfinement of quarks in QGP properties and influence on the photon rate production. In our approach, we calculate the photons rate depending on the strength coupling, photons rate and temperature of system with other factors. The results plotted as a function of the photons energy. The photons rate was decreased with increased temperature and increased with decreased with strength coupling.

scholarly journals PROBING THE STATES OF MATTER IN QCD

2013 ◽  
Vol 28 (27) ◽  
pp. 1330043 ◽  
Author(s):  
HELMUT SATZ
Keyword(s):  
Critical Temperature ◽  
Quark Gluon Plasma ◽  
Heavy Ion Collisions ◽  
Heavy Ion ◽  
Gluon Plasma ◽  
High Energy ◽  
Ideal Resonance ◽  
Ion Collisions ◽  
Quantum Numbers ◽  
Quark Deconfinement

The ultimate aim of high energy heavy ion collisions is to study quark deconfinement and the quark–gluon plasma predicted by quantum chromodynamics. This requires the identification of observables calculable in QCD and measurable in heavy ion collisions. I concentrate on three such phenomena, related to specific features of strongly interacting matter. The observed pattern of hadrosynthesis corresponds to that of an ideal resonance gas in equilibrium at the pseudo-critical temperature determined in QCD. The critical behavior of QCD is encoded in the fluctuation patterns of conserved quantum numbers, which are presently being measured. The temperature of the quark–gluon plasma can be determined by the dissociation patterns of the different quarkonium states, now under study at the LHC for both charmonia and bottomonia.

scholarly journals Landau's statistical mechanics for quasi-particle models

2014 ◽  
Vol 29 (10) ◽  
pp. 1450056 ◽  
Author(s):  
Vishnu M. Bannur
Keyword(s):  
Energy Density ◽  
Statistical Mechanics ◽  
Quark Gluon Plasma ◽  
Statistical Physics ◽  
Particle System ◽  
Gluon Plasma ◽  
Particle Model ◽  
Quasi Particle ◽  
Thermodynamics And Statistical Mechanics

Landau's formalism of statistical mechanics [following L. D. Landau and E. M. Lifshitz, Statistical Physics (Pergamon Press, Oxford, 1980)] is applied to the quasi-particle model of quark–gluon plasma. Here, one starts from the expression for pressure and develop all thermodynamics. It is a general formalism and consistent with our earlier studies [V. M. Bannur, Phys. Lett. B647, 271 (2007)] based on Pathria's formalism [following R. K. Pathria, Statistical Mechanics (Butterworth-Heinemann, Oxford, 1977)]. In Pathria's formalism, one starts from the expression for energy density and develop thermodynamics. Both the formalisms are consistent with thermodynamics and statistical mechanics. Under certain conditions, which are wrongly called thermodynamic consistent relation, we recover other formalism of quasi-particle system, like in M. I. Gorenstein and S. N. Yang, Phys. Rev. D52, 5206 (1995), widely studied in quark–gluon plasma.

Dilepton production in thermal-dependent baryonic quark–gluon plasma

2014 ◽  
Vol 92 (1) ◽  
pp. 31-35 ◽  
Author(s):  
S. Somorendro Singh ◽  
Yogesh Kumar
Keyword(s):  
Production Rate ◽  
Quark Gluon Plasma ◽  
Chemical Potential ◽  
Gluon Plasma ◽  
Mass Region ◽  
Dilepton Production ◽  
Production Rates ◽  
Baryonic Chemical Potential ◽  
Low Mass ◽  
Quark Mass Dependence

We evolute a fireball of quark–gluon plasma (QGP) at thermal-dependent chemical potential (TDCP) through a statistical model in the pionic medium. The evolution of the fireball is explained through the free energy created in the pionic medium. We study the dilepton production at TDCP from such a fireball of QGP and hadronic phase. In this model, we take a finite quark mass dependence on temperature and parametrization factor. The temperature and factor enhance in the growth of the droplet formation of quarks and gluons as well as in the dilepton production rates. The production rate shows dilepton spectrum in the low mass region of the lepton pair as 0–1.2 GeV and in the intermediate mass region of 1.0–4.0 GeV. The rate of production is observed to be a strong increasing function of the TDCP for quark and antiquark annihilation. We compare the result of dilepton production at this TDCP with the production rate of the recent dilepton productions at zero and finite baryonic chemical potential and found the result far ahead in the production rates of dilepton at TDCP.

Constraints for critical temperature of the phase transition into the quark-gluon plasma

1991 ◽  
Vol 52 (4) ◽  
pp. 563-565 ◽  
Author(s):  
L. A. Kondratyuk ◽  
B. V. Martemyanov ◽  
M. I. Krivoruchenko
Keyword(s):  
Phase Transition ◽  
Critical Temperature ◽  
Quark Gluon Plasma ◽  
Gluon Plasma

Dilepton production as a useful probe of quark gluon plasma with temperature dependent chemical potential quark mass

2016 ◽  
Vol 25 (08) ◽  
pp. 1650049
Author(s):  
Yogesh Kumar ◽  
S. Somorendro Singh
Keyword(s):  
Production Rate ◽  
Quark Gluon Plasma ◽  
Quark Mass ◽  
Chemical Potential ◽  
Gluon Plasma ◽  
Mass Region ◽  
Dilepton Production ◽  
Temperature Dependent ◽  
Quasiparticle Model ◽  
Relevant Range

We extend the previous study of dilepton production using [S. Somorendro Singh and Y. Kumar, Can. J. Phys. 92 (2014) 31] based on a simple quasiparticle model of quark–gluon plasma (QGP). In this model, finite value of quark mass uses temperature dependent chemical potential the so-called Temperature Dependent Chemical Potential Quark Mass (TDCPQM). We calculate dilepton production in the relevant range of mass region. It is observed that the production rate is marginally enhanced from the earlier work. This is due to the effect of TDCPQM and its effect is highly significant in the production of dilepton.

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