### Abstract

We derive entropy formulas for finite reservoir systems, S_{q}, from universal thermostat independence and obtain the functional form of the corresponding generalized entropy-probability relation. Our result interprets thermodynamically the subsystem temperature, T_{1}, and the index q in terms of the temperature, T, entropy, S, and heat capacity, C of the reservoir as T_{1} = T exp(-S/C) and q = 1 - 1/C. In the infinite C limit, irrespective of the value of S, the Boltzmann-Gibbs approach is fully recovered. We apply this framework for the experimental determination of the original temperature of a finite thermostat, T, from the analysis of hadron spectra produced in high-energy collisions, by analyzing frequently considered simple models of the quark-gluon plasma.

Original language | English |
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Article number | 110 |

Pages (from-to) | 2-5 |

Number of pages | 4 |

Journal | European Physical Journal A |

Volume | 49 |

Issue number | 9 |

DOIs | |

Publication status | Published - jan. 1 2013 |

### ASJC Scopus subject areas

- Nuclear and High Energy Physics