In this paper, we consider the grand partition function for an α-boson gas. First, we revisit the thermodynamic laws and functions in this formalism. Then, we explore α-boson gas condensation and show that the critical temperature at which α-boson condensation begins depends on the shape of the container. In particular, we compute the critical temperature for a cubic container. Finally, we discuss the α-deformed virial expansion for α-boson gas.

中文翻译：

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基于α-加性熵的α-玻色子气体模型

在本文中，我们考虑α-玻色子气体的大配分函数。首先，我们重新审视这种形式主义中的热力学定律和函数。然后，我们探索α-玻色子气体凝聚，并表明α-玻色子凝聚开始的临界温度取决于容器的形状。特别是，我们计算立方容器的临界温度。最后，我们讨论了α为-deformed位力展开α -boson气体。