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.

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.

Thermodynamic properties of a spin-1 model with long-range interactions

2018 ◽  
Vol 32 (05) ◽  
pp. 1850053 ◽  
Author(s):  
Ji-Xuan Hou ◽  
Xu-Chen Yu
Keyword(s):  
Magnetic Field ◽  
Phase Transition ◽  
Phase Diagram ◽  
Long Range ◽  
Order Phase Transition ◽  
First Order ◽  
First Order Phase Transition ◽  
Long Range Interactions ◽  
External Magnetic Field Strength ◽  
First Order Phase

The long-range interacting spin-1 chain placed in a staggered magnetic field is studied by means of microcanonical approach. Firstly, we study the microcanonical entropy of the system in the thermodynamic limit and find the system is non-ergodic and can exhibit either first-order phase transition or second-order phase transition by shifting the external magnetic field strength. Secondly, we construct the global phase diagram of the system and find a phase transition area in the phase diagram corresponding to the temperature jump of the first-order phase transition.

Skyrmions at high density

2017 ◽  
Vol 26 (01n02) ◽  
pp. 1740029
Author(s):  
Vicente Vento
Keyword(s):  
Phase Transition ◽  
Phase Diagram ◽  
Nuclear Matter ◽  
Quantum Chromodynamics ◽  
Quark Model ◽  
Quark Gluon Plasma ◽  
Gluon Plasma ◽  
High Density ◽  
Chiral Quark Model

The phase diagram of quantum chromodynamics is conjectured to have a rich structure containing at least three forms of matter: hadronic nuclear matter, quarkyonic matter and quark–gluon plasma. We justify the origin of the quarkyonic phase transition in a chiral-quark model and describe its formulation in terms of Skyrme crystals.

scholarly journals Effect of colour singletness of quark-gluon plasma in quark-hadron phase transition

1998 ◽  
Vol 5 (4) ◽  
pp. 711 ◽  
Author(s):  
Munshi Golam Mustafa ◽  
Dinesh Kumar Srivastava ◽  
Bikash Sinha
Keyword(s):  
Phase Transition ◽  
Quark Gluon Plasma ◽  
Gluon Plasma ◽  
Hadron Phase

scholarly journals QCD PHASE TRANSITION IN DGP BRANE COSMOLOGY

2012 ◽  
Vol 21 (08) ◽  
pp. 1250069 ◽  
Author(s):  
K. ATAZADEH ◽  
A. M. GHEZELBASH ◽  
H. R. SEPANGI
Keyword(s):  
Phase Transition ◽  
Energy Density ◽  
Early Universe ◽  
Effective Temperature ◽  
Quark Gluon Plasma ◽  
Friedmann Equation ◽  
Gluon Plasma ◽  
High Energy ◽  
Brane World ◽  
High Energy Density

In the standard picture of cosmology it is predicted that a phase transition, associated with chiral symmetry breaking after the electroweak transition, has occurred at approximately 10μ seconds after the Big Bang to convert a plasma of free quarks and gluons into hadrons. We consider the quark-hadron phase transition in a Dvali, Gabadadze and Porrati (DGP) brane world scenario within an effective model of QCD. We study the evolution of the physical quantities useful for the study of the early universe, namely, the energy density, temperature and the scale factor before, during and after the phase transition. Also, due to the high energy density in the early universe, we consider the quadratic energy density term that appears in the Friedmann equation. In DGP brane models such a term corresponds to the negative branch (ϵ = -1) of the Friedmann equation when the Hubble radius is much smaller than the crossover length in 4D and 5D regimes. We show that for different values of the cosmological constant on a brane, λ, phase transition occurs and results in decreasing the effective temperature of the quark-gluon plasma and of the hadronic fluid. We then consider the quark-hadron transition in the smooth crossover regime at high and low temperatures and show that such a transition occurs along with decreasing the effective temperature of the quark-gluon plasma during the process of the phase transition.

scholarly journals FUSION OF STRINGS VS. PERCOLATION AND THE TRANSITION TO THE QUARK–GLUON PLASMA

1999 ◽  
Vol 14 (17) ◽  
pp. 2689-2704 ◽  
Author(s):  
M. A. BRAUN ◽  
C. PAJARES ◽  
J. RANFT
Keyword(s):  
Phase Transition ◽  
Quark Gluon Plasma ◽  
Critical Density ◽  
Gluon Plasma ◽  
Second Order ◽  
Plasma State ◽  
Hadronic Collisions

In most of the models of hadronic collisions, the number of exchanged color strings grows with energy and atomic numbers of the projectile and target. At high string densities interaction between them becomes important, which should melt them into the quark–gluon plasma state in the end. It is shown that under certain reasonable assumptions about the string interaction, a phase transition to the quark–gluon plasma indeed takes place in the system of many color strings. It may be of the first or second order, depending on the particular mechanism of the interaction. The critical string density is about unity in both cases. In the latter case the percolation of strings occurs above the critical density. The critical density may have already been reached in central Pb–Pb collisions at 158A GeV.

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