Nuclear modification factor using Tsallis non-extensive statistics

Tripathy, Sushanta; Bhattacharyya, Trambak; Garg, P.; Kumar, Prateek; Sahoo, R.; Cleymans, J.

doi:10.1140/epja/i2016-16289-4

Cited by 63 publications

(82 citation statements)

References 53 publications

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“…It is observed that, the R AA value decreases with increase in q pp , which suggests that when the initial distribution remains closer to equilibrium (lower the value of q pp ), the suppression becomes less. This observation goes inline with our previous observation [5]. Also, it is observed from Fig.…”

Section: Resultssupporting

confidence: 93%

“…The inclusion of radial flow, < β r > in the theory, favours the non-extensivity, as is expected intuitively. This is seen when we compare the present results with our earlier findings [5].…”

Section: Discussionsupporting

confidence: 89%

“…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%

“…The final distribution includes both equilibrium and Tsallis distribution. In our earlier work [5], we have used the Boltzmann-Gibbs distribution as an equilibrium distribution function to study the R AA using the secondaries produced in A+A collisions. As BG distribution only describes the p T -spectra in A+A collisions upto moderate p T and BGBW has been quite helpful in describing the p T -spectra up to higher p T , we use the latter distribution as the equilibrium distribution in the present formalism.…”

Section: Introductionmentioning

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: Resultssupporting

confidence: 93%

Section: Discussionsupporting

confidence: 89%

Section: Resultsmentioning

confidence: 99%

Section: Nuclear Modification Factor In Relaxation Time Approximamentioning

confidence: 99%

Section: Introductionmentioning

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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Fugacity versus chemical potential in nonadditive generalizations of the ideal Fermi-gas

Rovenchak

Sobko

2019

Physica A: Statistical Mechanics and its Applications

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We compare two approaches to the generalization of the ordinary Fermi-statistics based on the nonadditive Tsallis q-exponential used in the Gibbs factor instead of the conventional exponential function. Both numerical and analytical calculations are made for the chemical potential, fugacity, energy, and the specific heat of the ideal gas obeying such generalized types of statistics. In the approach based on the Gibbs factor containing the chemical potential, high temperature behavior of the specific heat significantly deviates from the expected classical limit, while at low temperatures it resembles that of the ordinary ideal Fermi-gas. On the contrary, when the fugacity enters as a multiplier at the Gibbs factor, the high-temperature limit reproduces the classical ideal gas correctly. At low temperatures, however, some interesting results are observed, corresponding to non-zero specific heat at the absolute zero temperature or a finite (non-zero) minimal temperature. These results, though exotic from the first glance, might be applicable in effective modeling of physical phenomena in various domains.

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Super-statistical description of thermo-magnetic properties of a system of 2D GaAs quantum dots with gaussian confinement and Rashba spin–orbit interaction

Castaño-Yepes

Amor-Quiroz

2020

Physica A: Statistical Mechanics and its Applications

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We examine the effect of non-equilibrium processes modeled by the introduction of a generalized Boltzmann factor on the thermal and magnetic properties of an array of two-dimensional GaAs quantum dots in the presence of an external uniform and constant magnetic field. The model consists of a single-electron subject to a confining Gaussian potential with a spin-orbit interaction in the Rashba approach. We compute the specific heat and the magnetic susceptibility within the formalism of χ 2 -superstatistics from the exact solution of the Schrödinger equation. Furthermore, an analytic solution for the partition function allows a study of the impact of the number of subsystems on the superstatistical corrections and confirms that the ordinary thermo-magnetic properties are recovered whenever the thermal distribution can be approximated by a Dirac delta. Also, we found a progressive disappearance of the Schottky anomaly with decreasing number of subsystems, while the specific heat ceases to be a monotonically increasing function with respect to the average temperature when the χ 2 -distribution is spread over a large range of temperatures. Remarkably, the introduction of fluctuations in the temperature is found to suppress the paramagnetic phase transition that would otherwise appear at low temperatures. Finally, we emphasize that an appropriate construction of the definition of physical observables is crucial for obtaining a correct description of the physics derived from a non-extensive construction of the entropy.

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Nuclear modification factor using Tsallis non-extensive statistics

Cited by 63 publications

References 53 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

Fugacity versus chemical potential in nonadditive generalizations of the ideal Fermi-gas

Super-statistical description of thermo-magnetic properties of a system of 2D GaAs quantum dots with gaussian confinement and Rashba spin–orbit interaction

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