2016
DOI: 10.1140/epja/i2016-16030-5
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Radial flow in non-extensive thermodynamics and study of particle spectra at LHC in the limit of small (q - 1)

Abstract: Abstract. We expand the Tsallis distribution in a Taylor series of powers of (q − 1), where q is the Tsallis parameter, assuming q is very close to 1. This helps in studying the degree of deviation of transverse momentum spectra and other thermodynamic quantities from a thermalized Boltzmann distribution. After checking thermodynamic consistency, we provide analytical results for the Tsallis distribution in the presence of collective flow up to the first order of (q − 1). The formulae are compared with the exp… Show more

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Cited by 83 publications
(82 citation statements)
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References 50 publications
(66 reference statements)
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“…Further, it has been observed that the transverse momentum spectra of the secondaries created in high energy p + p(p) [9,13,14,15,16,17,18,19], e + + e − collisions [20,21] are better described by the non-extensive Tsallis statistics [22]. In addition, non-extensive statistics with radial flow successfully describes the spectra at intermediate p T in heavy-ion collisions [23,24,25,26,27]. Tsallis non-extensive statistics in Boltzmann Transport Equation with relaxation time approximation successfully describes the nuclear modification factor of heavy flavors in heavy-ion collisions at RHIC and LHC energies [28].…”
Section: Introductionmentioning
confidence: 99%
“…Further, it has been observed that the transverse momentum spectra of the secondaries created in high energy p + p(p) [9,13,14,15,16,17,18,19], e + + e − collisions [20,21] are better described by the non-extensive Tsallis statistics [22]. In addition, non-extensive statistics with radial flow successfully describes the spectra at intermediate p T in heavy-ion collisions [23,24,25,26,27]. Tsallis non-extensive statistics in Boltzmann Transport Equation with relaxation time approximation successfully describes the nuclear modification factor of heavy flavors in heavy-ion collisions at RHIC and LHC energies [28].…”
Section: Introductionmentioning
confidence: 99%
“…Both initial and final state temperatures are expected to obtain from particle spectra measured in experiments. In particular, the final state temperature is in fact the kinetic freeze-out temperature (T 0 ) which is writhen to transverse flow velocity (β T ) [2][3][4]. Both T 0 and β T can be extracted from transverse momentum (p T ) spectra of particles.…”
Section: Introductionmentioning
confidence: 99%
“…Refs. [25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41] and references therein, with a particular focus on the study of imprints of the superstatistics on the particle production, using a particular version, the so-called Tsallis statistics [42]. Its use in the context of the computation of the rapidity distribution profile for the stopping in heavy ion collisions has been recently questioned in Ref.…”
mentioning
confidence: 99%