scholarly journals Propagation of non-linear waves in hot, ideal, and non-extensive quark–gluon plasma

2020 ◽  
Vol 80 (7) ◽  
Author(s):  
Trambak Bhattacharyya ◽  
Abhik Mukherjee
Keyword(s):  
Equation Of State ◽  
Energy Density ◽  
Quark Gluon Plasma ◽  
Wave Solution ◽  
Density Perturbation ◽  
Gluon Plasma ◽  
Breaking Wave ◽  
Linear Waves ◽  
Momentum Distributions ◽  
Non Linear

Abstract We study the propagation of energy density perturbation in a hot, ideal quark–gluon medium in which quarks and gluons follow the Tsallis-like momentum distributions. We have observed that a non-extensive MIT bag equation of state obtained with the help of the quantum Tsallis-like distributions gives rise to a breaking wave solution of the equation dictating the evolution of energy density perturbation. However, the breaking of waves is delayed when the value of the Tsallis q parameter and the Tsallis temperature T are higher.

EQUATION OF STATE FOR QUARK GLUON PLASMA IN A RELATIVISTIC HARMONIC CONFINEMENT MODEL

1993 ◽  
Vol 08 (08) ◽  
pp. 749-755 ◽  
Author(s):  
S.B. KHADKIKAR ◽  
J.C. PARIKH ◽  
P.C. VINODKUMAR
Keyword(s):  
Equation Of State ◽  
Energy Density ◽  
Quark Gluon Plasma ◽  
Background Field ◽  
Gluon Plasma ◽  
Harmonic Mode ◽  
Small Quantum ◽  
Harmonic Confinement ◽  
Current Confinement ◽  
Confinement Model

A relativistic harmonic confinement model for quarks and a similar current confinement model for gluons have been used to obtain an equation of state for quark-gluon plasma. Such models may be deduced from QCD under certain approximations, by considering small quantum fluctuations about a background field. At high temperatures a T7 dependence of pressure and energy density is obtained with relativistic harmonic mode of confinement.

scholarly journals The Quark-Gluon Plasma Equation of State and the Generalized Uncertainty Principle

2015 ◽  
Vol 2015 ◽  
pp. 1-7 ◽  
Author(s):  
L. I. Abou-Salem ◽  
N. M. El Naggar ◽  
I. A. Elmashad
Keyword(s):  
Asymptotic Behavior ◽  
Equation Of State ◽  
Energy Density ◽  
Uncertainty Principle ◽  
Quark Gluon Plasma ◽  
Chemical Potential ◽  
Generalized Uncertainty Principle ◽  
Gluon Plasma ◽  
Minimal Length ◽  
Interaction Measure

The quark-gluon plasma (QGP) equation of state within a minimal length scenario or Generalized Uncertainty Principle (GUP) is studied. The Generalized Uncertainty Principle is implemented on deriving the thermodynamics of ideal QGP at a vanishing chemical potential. We find a significant effect for the GUP term. The main features of QCD lattice results were quantitatively achieved in case ofnf=0,nf=2, andnf=2+1flavors for the energy density, the pressure, and the interaction measure. The exciting point is the large value of bag pressure especially in case ofnf=2+1flavor which reflects the strong correlation between quarks in this bag which is already expected. One can notice that the asymptotic behavior which is characterized by Stephan-Boltzmann limit would be satisfied.

scholarly journals Phenomenological models of the quark-gluon plasma equation of state

2002 ◽  
Vol 106-107 ◽  
pp. 528-530
Author(s):  
Peter N. Meisinger ◽  
Travis R. Miller ◽  
Michael C. Ogilvie
Keyword(s):  
Equation Of State ◽  
Phenomenological Models ◽  
Quark Gluon Plasma ◽  
Gluon Plasma ◽  
Plasma Equation

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.

Non-perturbative effects for the Quark-Gluon Plasma equation of state

2012 ◽  
Vol 75 (7) ◽  
pp. 873-878 ◽  
Author(s):  
V. V. Begun ◽  
M. I. Gorenstein ◽  
O. A. Mogilevsky
Keyword(s):  
Equation Of State ◽  
Quark Gluon Plasma ◽  
Gluon Plasma ◽  
Plasma Equation

scholarly journals EXPLANATION OF THE RHIC HBT PUZZLE BY A GRANULAR SOURCE OF QUARK-GLUON PLASMA DROPLETS

2007 ◽  
Vol 16 (10) ◽  
pp. 3262-3270 ◽  
Author(s):  
WEI-NING ZHANG ◽  
CHEUK-YIN WONG
Keyword(s):  
Equation Of State ◽  
Quark Gluon Plasma ◽  
Gluon Plasma ◽  
Droplet Radius ◽  
Average Particle ◽  
Relativistic Hydrodynamics ◽  
Initial Radius ◽  
Lattice Gauge ◽  
Emission Time ◽  
Freeze Out

We present a review on the explanation of the RHIC HBT puzzle by a granular pion-emitting source of quark-gluon plasma droplets. The evolution of the droplet is described by relativistic hydrodynamics with an equation of state suggested by lattice gauge results. The granular source evolution is obtained by superposing all of the evolutions of individual droplets. Pions are assumed to be emitted thermally from the droplets at the freeze-out configuration characterized by a freeze-out temperature Tf. We find that the average particle emission time scales with the initial radius of the droplet. Pions will be emitted earlier if the droplet radius is smaller. An earlier emission time will lead to a smaller extracted HBT radius R out , while the extracted HBT radius R side is determined by the scale of the distribution of the droplet centers. However, a collective expansion of the droplets can further decrease R out . As a result, the value of R out /R side can be close to, or even less than 1 for the granular source of QGP droplets.

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.

scholarly journals VIRIAL EXPANSION OF THE NUCLEAR EQUATION OF STATE

2012 ◽  
Vol 21 (01) ◽  
pp. 1250006 ◽  
Author(s):  
RUSLAN MAGANA ◽  
HUA ZHENG ◽  
ALDO BONASERA
Keyword(s):  
Phase Transition ◽  
Equation Of State ◽  
Nuclear Matter ◽  
Order Phase Transition ◽  
Quark Gluon Plasma ◽  
Ground State ◽  
Gluon Plasma ◽  
Second Order ◽  
Nuclear Equation Of State ◽  
Second Order Phase Transition

We study the equation of state (EOS) of nuclear matter as function of density. We expand the energy per particle (E/A) of symmetric infinite nuclear matter in powers of the density to take into account 2, 3, …, N-body forces. New EOS are proposed by fitting ground state properties of nuclear matter (binding energy, compressibility and pressure) and assuming that at high densities a second-order phase transition to the quark–gluon plasma (QGP) occurs. The latter phase transition is due to symmetry breaking at high density from nuclear matter (locally color white) to the QGP (globally color white). In the simplest implementation of a second-order phase transition we calculate the critical exponent δ by using Landau's theory of phase transition. We find δ = 3. Refining the properties of the EOS near the critical point gives δ = 5 in agreement with experimental results. We also discuss some scenarios for the EOS at finite temperatures.

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