Multiplicity fluctuations and temperature fluctuations
Abstract
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 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, <N>, 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.