Multiplicity fluctuations and temperature fluctuations

Details Multiplicity fluctuations and temperature fluctuations Multiplicity fluctuations and temperature fluctuations

2009-10-19

arxiv.org/abs/0910.3547v1

Nonlinear Phenomena in Complex Systems, vol. 12, no. 4 (2009), pp. 334 - 337

Physics

High Energy Physics

High Energy Physics - Phenomenology

Presented at XXX ISMD 2009, to be published in the Int. J. Nonlinear Phenomena in Complex Systems

Scientific paper

We argue that specific fluctuations observed in high-energy nuclear collisions can be attributed to intrinsic fluctuations of temperature of the hadronizing system formed in such processes and therefore can be described by the same nonextensivity parameter $q$ characterizing Tsallis statistics describing such systems (for $q \to 1$ one recovers the usual Boltzmann-Gibbs approach). It means that $|q-1|$, which is a direct measure of temperature fluctuations, can also be expressed by the observed mean multiplicity, $$, and by its variance, $Var(N)$. This allows to deduce from the experimental data the system size dependence of parameter $q$ with $q = 1$ corresponding to an infinite, thermalized source with a fixed temperature, and with the observed $q > 1$ corresponding to a finite source in which both the temperature and energy fluctuate.

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