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arXiv 1507.05433hep-phnucl-ex
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低密度排斥体积强子气体的热力学

Thermodynamics of the low density excluded volume hadron gas

Krzysztof Redlich, Kacper Zalewski

摘要:

在低密度近似下,我们考虑了在有限温度和化学势下排斥体积粒子的热力学。我们假设玻尔兹曼统计,研究在相同的温度、压力和粒子数下,排除体积对理想气体热力学的影响。我们表明,考虑到由于排除体积的自由焓的变化,并使用麦克斯韦恒等式,可以导出相关的多组分气体的热力学函数和参数。这个推导是相当普遍的,因为粒子可能有不同的大小和形状,这也取决于它们的动量。该方法除具有简单性和通用性外,还具有消除以往研究中出现的超越方程的优点。排斥体积热力学的一个代表性例子是硬球的单组分气体。对于这种情况,使用病毒式展开,低密度近似的有效性限制进行了讨论。

英文摘要:

We consider thermodynamics of the excluded volume particles at finite temperature and chemical potential, in the low density approximation. We assume Boltzmann statistics and study the influence of the excluded volume on an ideal gas thermodynamics at the same temperature, pressure and numbers of particles. We show, that considering the change of the free enthalpy due to the excluded volume, and using the Maxwell identities, one can derive relevant thermodynamic functions and parameters of multi-component gases. The derivation is quite general as particles may have different sizes and shapes which can also depend on their momenta. Besides it's simplicity and generality, our approach has the advantage of eliminating the transcendental equations occurring in earlier studies. A representative example of the excluded volume thermodynamics is the single-component gas of hard spheres. For this case, using the viral expansion, the validity limits of the low-density approximation are also discussed.

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