Energy density at kinetic freeze-out in Pb-Pb collisions at the LHC using the Tsallis distribution

Abstract

The thermodynamic parameters like energy density, pressure, entropy density, temperature and particle density are determined from the transverse momentum distributions of charged particles in Pb-Pb collisions at the LHC. The results show a clear increase with the centrality and the beam energy in all parameters. It is determined that in the final freeze-out stage the energy density reaches a value of about 0.039 GeV/fm${}^3$ for the most central collisions at $\sqrt{s_{NN}}$ = 5.02 TeV. This is less than that at chemical freeze-out where the energy density is about 0.36 GeV/fm${}^3$. This decrease approximately follows a $T^4$ law. The results for the pressure and entropy density are also presented for each centrality class at $\sqrt{s_{NN}}$ = 2.76 and 5.02 TeV.

arXiv comment12 pages, 6 figures

References in corpus (20)

• Thermal phenomenology of hadrons from 200 AGeV S+S collisions
• Systematic Measurements of Identified Particle Spectra in pp, d+Au and Au+Au Collisions from STAR
• Observable implications of geometrical and dynamical aspects of freeze-out in heavy ion collisions
• THERMUS -- A Thermal Model Package for ROOT
• The Tsallis Distribution in Proton-Proton Collisions at $\sqrt{s}$ = 0.9 TeV at the LHC
• Relativistic Thermodynamics: Transverse Momentum Distributions in High-Energy Physics
• Transverse momentum spectra and nuclear modification factors of charged particles in pp, p-Pb and Pb-Pb collisions at the LHC
• Tsallis Fits to pT Spectra and Multiple Hard Scattering in pp Collisions at the LHC
• From QCD-based hard-scattering to nonextensive statistical mechanical descriptions of transverse momentum spectra in high-energy $pp$ and $p\bar{p}$ collisions
• Energy Dependence of the Transverse Momentum Distributions of Charged Particles in pp Collisions Measured by ALICE
• Transverse momentum spectra and nuclear modification factors of charged particles in Xe-Xe collisions at $\sqrt{s_{\mathrm{NN}}}$ = 5.44 TeV
• Canonical statistical model analysis of p-p, p-Pb, and Pb-Pb collisions at the LHC
• Modified Hagedorn formula including temperature fluctuation - Estimation of temperatures at RHIC experiments -
• The Tsallis Distribution at Large Transverse Momenta
• Systematic Analysis of the Non-extensive Statistical Approach in High Energy Particle Collisions - Experiment vs. Theory
• A Comparison of p-p, p-Pb, Pb-Pb Collisions in the Thermal Model: Multiplicity Dependence of Thermal Parameters
• Extracting kinetic freeze-out temperature and radial flow velocity from an improved Tsallis distribution
• Using the Tsallis distribution for hadron spectra in $pp$ collisions: Pions and quarkonia at $\sqrt{s}$ = 5--13000 GeV
• Comparing standard distribution and its Tsallis form of transverse momenta in high energy collisions
• Centrality dependence of freeze-out temperature fluctuations in Pb-Pb collisions at the LHC

Cited by in corpus (14)

• Centrality, transverse momentum and collision energy dependence of the Tsallis parameters in relativistic heavy-ion collisions
• The Novel Scaling of Tsallis Parameters from the Transverse Momentum Spectra of Charged Particles in Heavy-Ion Collisions
• Pseudorapidity distributions of charged particles in pp($\overline{\mathrm{p}}$), p(d)A and AA collisions using Tsallis thermodynamics
• Bose-Einstein condensation of pions in proton-proton collisions at the Large Hadron Collider using non-extensive Tsallis statistics
• QCD equation of state with Tsallis statistics for heavy-ion collisions
• Nonextensive hydrodynamics of boost-invariant plasmas
• Characterizing Proton-Proton Collisions at the Large Hadron Collider with Thermal Properties
• Non-extensive Boltzmann Transport Equation: the Relaxation Time Approximation and Beyond
• Hadron transverse momentum distributions in the Tsallis statistics with escort probabilities
• Propagation of non-linear waves in hot, ideal, and non-extensive quark-gluon plasma
• Nonlinear waves in a hot, viscous and nonextensive quark gluon plasma
• Jet Quenching of the Heavy Quarks in the Quark-Gluon Plasma and the Nonadditive Statistics
• A harmonic oscillator in nonadditive statistics and a novel transverse momentum spectrum in high-energy collisions
• Analytical calculations of the Quantum Tsallis thermodynamic variables