The Hagedorn temperature and partition thermodynamics

Blanchard P, Fortunato S, Satz H (2004)
EUROPEAN PHYSICAL JOURNAL C 34(3): 361-366.

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Abstract
We review the resonance gas formalism of hadron thermodynamics and recall that an exponential increase of the resonance spectrum leads to a limiting temperature of hadronic matter. We then show that the number p(n) of ordered partitions of an integer n grows exponentially with n and satisfies the integer counterpart of the statistical bootstrap equation. Considering the set of all partitions as a Gibbs ensemble provides a partition thermodynamics which is also governed by a limiting temperature, determined by the combinatorial structure of the problem. Further associating intrinsic quantum numbers to integers results in a phase diagram equivalent to that found in QCD for hadronic matter as a function of temperature and baryochemical potential.
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Blanchard P, Fortunato S, Satz H. The Hagedorn temperature and partition thermodynamics. EUROPEAN PHYSICAL JOURNAL C. 2004;34(3):361-366.
Blanchard, P., Fortunato, S., & Satz, H. (2004). The Hagedorn temperature and partition thermodynamics. EUROPEAN PHYSICAL JOURNAL C, 34(3), 361-366.
Blanchard, P., Fortunato, S., and Satz, H. (2004). The Hagedorn temperature and partition thermodynamics. EUROPEAN PHYSICAL JOURNAL C 34, 361-366.
Blanchard, P., Fortunato, S., & Satz, H., 2004. The Hagedorn temperature and partition thermodynamics. EUROPEAN PHYSICAL JOURNAL C, 34(3), p 361-366.
P. Blanchard, S. Fortunato, and H. Satz, “The Hagedorn temperature and partition thermodynamics”, EUROPEAN PHYSICAL JOURNAL C, vol. 34, 2004, pp. 361-366.
Blanchard, P., Fortunato, S., Satz, H.: The Hagedorn temperature and partition thermodynamics. EUROPEAN PHYSICAL JOURNAL C. 34, 361-366 (2004).
Blanchard, Philippe, Fortunato, S, and Satz, Helmut. “The Hagedorn temperature and partition thermodynamics”. EUROPEAN PHYSICAL JOURNAL C 34.3 (2004): 361-366.
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