Abstract
We derive entropy formulas for finite reservoir systems, Sq, from universal thermostat independence and obtain the functional form of the corresponding generalized entropy-probability relation. Our result interprets thermodynamically the subsystem temperature, T1, 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.
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Biró, T.S., Gábor Barnaföldi, G. & Ván, P. Quark-gluon plasma connected to finite heat bath. Eur. Phys. J. A 49, 110 (2013). https://doi.org/10.1140/epja/i2013-13110-0
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DOI: https://doi.org/10.1140/epja/i2013-13110-0