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Effects of fluctuations and color neutrality in a finite volume

C. Spieles,M. Bleicher,C. Greiner

Published 2019 in Astronomical Notes - Astronomische Nachrichten

ABSTRACT

We investigate properties of strongly interacting matter in a schematic model, based on the combined degrees of freedom of a non-interacting hadronic phase and a non-interacting deconfined phase. It is found that in a finite system both phases contribute to the thermodynamic state due to fluctuations and that signatures of critical behviour like the divergence of statistical quantities are damped. The constraint of color-neutrality leads to a volume-dependent shift of the effective critical temperature, which follows a scaling law, independent of the baryochemical potential. According to the model, observable baryon-number susceptibilities at a given $T$ and $\mu_B$ strongly depend on the system size. Finally, we compare hadronization conditions from the model with hadrochemical fits to experimental collider data, where a qualitatively similar system size dependence is extracted.

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