Time evolution of temperature fluctuation in a non-equilibrated system

Bhattacharyya, Trambak; Garg, P.; Sahoo, R.; Samantray, Prasant

doi:10.1140/epja/i2016-16283-x

Cited by 34 publications

(41 citation statements)

References 42 publications

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“…These are very important observations. Figures 4,5,6, and 7 show the R AA -spectra of K + + K − , p +p, (K * 0 +K * 0 )/2 and φ for the most central Pb+Pb collisions at √ s N N = 2.76 TeV, respectively. The spectra are fitted to the the function for R AA given by Eq.…”

Section: Resultsmentioning

confidence: 99%

“…C[f ] is the collision term which encodes the interaction of the probe particles with the medium. Earlier, BTE has also been used in the relaxation time approximation to study the time evolution of temperature fluctuation in a non-equilibrated system [6] and also for studying the R AA of various light and heavy flavours at RHIC and LHC energies [5]. Assuming homogeneity of the system (∇ x f = 0) and absence of external forces (F=0), the second and third terms of the Eq.…”

Section: Nuclear Modification Factor In Relaxation Time Approximamentioning

confidence: 99%

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Transverse-momentum spectra and nuclear modification factor using Boltzmann Transport Equation with flow in Pb+Pb collisions at $\sqrt{s_{NN}} = 2.76$ s N

Tripathy¹,

Khuntia²,

Tiwari³

et al. 2017

Eur. Phys. J. A

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In the continuation of our previous work, the transverse momentum (pT ) spectra and nuclear modification factor (RAA) are derived using the relaxation time approximation of Boltzmann Transport Equation (BTE). The initial pT -distribution used to describe p + p collisions has been studied with the pQCD inspired power-law distribution, Hagedorn's empirical formula and with the Tsallis nonextensive statistical distribution. The non-extensive Tsallis distribution is observed to describe the complete range of the transverse momentum spectra. The Boltzmann-Gibbs Blast Wave (BGBW) distribution is used as the equilibrium distribution in the present formalism, to describe the pTdistribution and nuclear modification factor in nucleus-nucleus collisions. The experimental data for Pb+Pb collisions at √ sNN = 2.76 TeV at the Large Hadron Collider at CERN have been analyzed for pions, kaons, protons, K * 0 and φ. It is observed that the present formalism while explaining the transverse momentum spectra up to 5 GeV/c, explains the nuclear modification factor very well up to 8 GeV/c in pT for all these particles except for protons. RAA is found to be independent of the degree of non-extensivity, qpp after pT ∼ 8 GeV/c.

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Section: Resultsmentioning

confidence: 99%

Section: Nuclear Modification Factor In Relaxation Time Approximamentioning

confidence: 99%

Transverse-momentum spectra and nuclear modification factor using Boltzmann Transport Equation with flow in Pb+Pb collisions at $\sqrt{s_{NN}} = 2.76$ s N

Tripathy¹,

Khuntia²,

Tiwari³

et al. 2017

Eur. Phys. J. A

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“…Given the profile, we get a set of temperatures, their average value and the temperature fluctuation on top of the average value. We can find out the variation of the inverse temperature fluctuation at different stages (for more details see [1]). Fig.…”

Section: Methodsmentioning

confidence: 99%

Evolution of Temperature Fluctuation in a Thermal Bath and Its Implications in Hadronic and Heavy-ion Collisions

Bhattacharya¹,

Garg²,

Sahoo³

et al. 2016

Acta Phys. Pol. B Proc. Suppl.

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The evolution equation for inhomogeneous and anisotropic temperature fluctuations inside a medium is derived within the ambit of Boltzmann Transport Equation. Also, taking some existing realistic inputs we have analyzed the Fourier space variation of temperature fluctuation for the medium created after heavy-ion collisions. The effect of viscosity on the variation of fluctuations is investigated. Further, possible implications in hadronic and heavy-ion collisions are explored.PACS numbers: 25.75.Gz, 98.80.Cq

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“…Recently a considerable amount of work has been carried out regarding the bulk observables of ultra-relativistic heavy ion collisions, such as the transverse momentum distribution, radial flow, evolution of fluctuation, nuclear modification factor, speed of sound etc. under the Tsallis generalization of B-G statistics [44][45][46][47][48][49][50][51][52][53]62,63].…”

Section: Introductionmentioning

confidence: 99%

Thermodynamics and relativistic kinetic theory for q-generalized Bose–Einstein and Fermi–Dirac systems

Mitra¹

2018

Eur. Phys. J. C

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The thermodynamics and covariant kinetic theory are elaborately investigated in a non-extensive environment considering the non-extensive generalization of BoseEinstein (BE) and Fermi-Dirac (FD) statistics. Starting with Tsallis' entropy formula, the fundamental principles of thermostatistics are established for a grand canonical system having q-generalized BE/FD degrees of freedom. Many particle kinetic theory is set up in terms of the relativistic transport equation with q-generalized Uehling-Uhlenbeck collision term. The conservation laws are realized in terms of appropriate moments of the transport equation. The thermodynamic quantities are obtained in a weak non-extensive environment for a massive pion-nucleon and a massless quark-gluon system with non-zero baryon chemical potential. In order to get an estimate of the impact of non-extensivity on the system dynamics, the q-modified Debye mass and hence the qmodified effective coupling are estimated for a quark-gluon system.

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Time evolution of temperature fluctuation in a non-equilibrated system

Cited by 34 publications

References 42 publications

Transverse-momentum spectra and nuclear modification factor using Boltzmann Transport Equation with flow in Pb+Pb collisions at $\sqrt{s_{NN}} = 2.76$ s N

Transverse-momentum spectra and nuclear modification factor using Boltzmann Transport Equation with flow in Pb+Pb collisions at $\sqrt{s_{NN}} = 2.76$ s N

Evolution of Temperature Fluctuation in a Thermal Bath and Its Implications in Hadronic and Heavy-ion Collisions

Thermodynamics and relativistic kinetic theory for q-generalized Bose–Einstein and Fermi–Dirac systems

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