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arXiv · 0902.3922

Multiplicity fluctuations due to the temperature fluctuations in high-energy nuclear collisions

Grzegorz Wilk·Zbigniew Wlodarczyk
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Abstract

We investigate the multiplicity fluctuations observed in high-energy nuclear collisions attributing them to intrinsic fluctuations of temperature of the hadronizing system formed in such processes. To account for these fluctuations we replace the usual Boltzmann-Gibbs (BG) statistics by the non-extensive Tsallis statistics characterized by the nonextensivity parameter q, with |q-1| being a direct measure of fluctuations. In the limit of vanishing fluctuations, q --> 1 and Tsallis statistics converges to the usual BG. We evaluate the nonextensivity parameter q and its dependence on the hadronizing system size from the experimentally observed collision centrality dependence of the mean multiplicity, , and its variance, Var(N). We attribute the observed system size dependence of q to the finiteness of the hadronizing source with q = 1 corresponding to an infinite, thermalized source with a fixed temperature, and with q > 1 (which is observed) corresponding to a finite source in which both the temperature and energy fluctuate.

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Grzegorz Wilk, Zbigniew Wlodarczyk. 2009-03-31. Multiplicity fluctuations due to the temperature fluctuations in high-energy nuclear collisions. https://doi.org/10.1103/physrevc.79.054903

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