The imprints of superstatistics in multiparticle production processes |
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Authors: | Grzegorz Wilk Zbigniew Włodarczyk |
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Institution: | (1) Massachusetts Institute of Technology, Department of Nuclear Engineering Cambridge MA 02319, USA,;(2) Centro Brasileiro de Pesquisas Fisicas, Xavier Sigaud 150, 22290-180,Rio de Janeiro, RJ, Brazil,;(3) dArbeloff Laboratory for Information Systems and Technology,Massachusetts Institute of Technology, Department of Mechanical Engineering,Cambridge, MA 02139, USA, |
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Abstract: | We provide an update of the overview of imprints of Tsallis nonextensive statistics seen in a multiparticle production processes.
They reveal an ubiquitous presence of power law distributions of different variables characterized by the nonextensivity parameter
q > 1. In nuclear collisions one additionally observes a q-dependence of the multiplicity fluctuations reflecting the finiteness of the hadronizing source. We present sum rules connecting
parameters q obtained from an analysis of different observables, which allows us to combine different kinds of fluctuations seen in the
data and analyze an ensemble in which the energy (E), temperature (T) and multiplicity (N) can all fluctuate. This results
in a generalization of the so called Lindhard’s thermodynamic uncertainty relation. Finally, based on the example of nucleus-nucleus
collisions (treated as a quasi-superposition of nucleon-nucleon collisions) we demonstrate that, for the standard Tsallis
entropy with degree of nonextensivity q < 1, the corresponding standard Tsallis distribution is described by q′ = 2 − q > 1. |
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