Individual Tsallis fits to ALICE Pb-Pb 2.76 TeV pion, kaon, and proton spectra give effective temperatures and freezeout volumes that rise toward central collisions while the nonextensivity parameter q falls, a pattern the authors read as evidence for multiple kinetic freezeout.
Thermodynamic Derivation of the Tsallis and R\'enyi Entropy Formulas and the Temperature of Quark-Gluon Plasma
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abstract
We derive Tsallis entropy, Sq, from universal thermostat independence and obtain the functional form of the corresponding generalized entropy-probability relation. Our result for finite thermostats interprets thermodynamically the subsystem temperature, T1, and the index q in terms of the temperature, T, entropy, S, and heat capacity, C of the reservoir as T1 = T exp(-S/C) and q = 1 - 1/C. In the infinite C limit, irrespective to the value of S, the Boltzmann-Gibbs approach is fully recovered. We apply this framework for the experimental determination of the original temperature of a finite thermostat, T, from the analysis of hadron spectra produced in high energy collisions, by analyzing frequently considered simple models of the quark-gluon plasma.
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Thermodynamic Analysis of Transverse Momentum Spectra in Pb-Pb Collisions at 2.76 TeV: Centrality Dependence of Temperature, Freezeout Parameters and Non-Extensitivity
Individual Tsallis fits to ALICE Pb-Pb 2.76 TeV pion, kaon, and proton spectra give effective temperatures and freezeout volumes that rise toward central collisions while the nonextensivity parameter q falls, a pattern the authors read as evidence for multiple kinetic freezeout.