Title: The Hagedorn Temperature and Partition Thermodynamics Show Chinese title

Title: 哈格多恩温度和粒子分布热力学

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 function of temperature and baryochemical potential. Show Chinese abstract

Abstract: 我们回顾强子热力学的共振气体形式，并指出共振谱的指数增长导致了强子物质的极限温度。 然后我们表明，整数n的有序分拆数p(n)随n呈指数增长，并满足统计自举方程的整数对应方程。 将所有分拆集合视为一个吉布斯系综，提供了由问题的组合结构决定的极限温度所支配的分拆热力学。 进一步将内在量子数与整数相关联，得到的相图与QCD中强子物质作为温度和重子化学势函数的相图等价。