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Can a Hagedorn system have a temperature other than $T_C$ or can a thermostat have a temperature other than its own?

L. G. Moretto·K. A. Bugaev·J. B. Elliott·L. Phair
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Abstract

This is a note intended to complement our paper (nucl-th/0504010) and addressed to the attention of QGP workers interested in bag models, Hagedorn spectra, and the like. It tries to show that with a Hagedorn-like experimental spectrum the partition function can not be calculated and that a canonical description derived for the microcanonical ensemble exists only for a single, fixed temperature.

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L. G. Moretto, K. A. Bugaev, J. B. Elliott, L. Phair. 2006-01-04. Can a Hagedorn system have a temperature other than $T_C$ or can a thermostat have a temperature other than its own?. https://arxiv.org/abs/nucl-th/0601010

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